modelparameters.sympy.functions package

Subpackages

• modelparameters.sympy.functions.combinatorial package
  • Submodules
  • modelparameters.sympy.functions.combinatorial.factorials module
    • CombinatorialFunction
      • CombinatorialFunction.default_assumptions
    • FallingFactorial
      • FallingFactorial.default_assumptions
      • FallingFactorial.eval()
    • MultiFactorial
      • MultiFactorial.default_assumptions
    • RisingFactorial
      • RisingFactorial.default_assumptions
      • RisingFactorial.eval()
    • binomial
      • binomial.default_assumptions
      • binomial.eval()
      • binomial.fdiff()
    • factorial
      • factorial.default_assumptions
      • factorial.eval()
      • factorial.fdiff()
    • factorial2
      • factorial2.default_assumptions
      • factorial2.eval()
    • ff
    • rf
    • subfactorial
      • subfactorial.default_assumptions
      • subfactorial.eval()
  • modelparameters.sympy.functions.combinatorial.numbers module
    • bell
      • bell.default_assumptions
      • bell.eval()
    • bernoulli
      • bernoulli.default_assumptions
      • bernoulli.eval()
    • catalan
      • catalan.default_assumptions
      • catalan.eval()
      • catalan.fdiff()
    • euler
      • euler.default_assumptions
      • euler.eval()
    • fibonacci
      • fibonacci.default_assumptions
      • fibonacci.eval()
    • genocchi
      • genocchi.default_assumptions
      • genocchi.eval()
    • harmonic
      • harmonic.default_assumptions
      • harmonic.eval()
    • lucas
      • lucas.default_assumptions
      • lucas.eval()
    • nC()
    • nP()
    • nT()
    • stirling()
  • Module contents
• modelparameters.sympy.functions.elementary package
  • Submodules
  • modelparameters.sympy.functions.elementary.complexes module
    • Abs
      • Abs.default_assumptions
      • Abs.eval()
      • Abs.fdiff()
      • Abs.is_commutative
      • Abs.is_complex
      • Abs.is_hermitian
      • Abs.is_imaginary
      • Abs.is_negative
      • Abs.is_nonnegative
      • Abs.is_real
      • Abs.unbranched
    • adjoint
      • adjoint.default_assumptions
      • adjoint.eval()
    • arg
      • arg.default_assumptions
      • arg.eval()
      • arg.is_commutative
      • arg.is_complex
      • arg.is_finite
      • arg.is_hermitian
      • arg.is_imaginary
      • arg.is_infinite
      • arg.is_real
    • conjugate
      • conjugate.default_assumptions
      • conjugate.eval()
    • im
      • im.as_real_imag()
      • im.default_assumptions
      • im.eval()
      • im.is_commutative
      • im.is_complex
      • im.is_hermitian
      • im.is_imaginary
      • im.is_real
      • im.unbranched
    • periodic_argument
      • periodic_argument.default_assumptions
      • periodic_argument.eval()
    • polar_lift
      • polar_lift.default_assumptions
      • polar_lift.eval()
      • polar_lift.is_comparable
      • polar_lift.is_polar
    • polarify()
    • principal_branch
      • principal_branch.default_assumptions
      • principal_branch.eval()
      • principal_branch.is_comparable
      • principal_branch.is_polar
    • re
      • re.as_real_imag()
      • re.default_assumptions
      • re.eval()
      • re.is_commutative
      • re.is_complex
      • re.is_hermitian
      • re.is_imaginary
      • re.is_real
      • re.unbranched
    • sign
      • sign.default_assumptions
      • sign.doit()
      • sign.eval()
      • sign.is_commutative
      • sign.is_complex
      • sign.is_finite
      • sign.is_infinite
    • transpose
      • transpose.default_assumptions
      • transpose.eval()
    • unbranched_argument()
    • unpolarify()
  • modelparameters.sympy.functions.elementary.exponential module
    • ExpBase
      • ExpBase.as_base_exp()
      • ExpBase.as_numer_denom()
      • ExpBase.default_assumptions
      • ExpBase.exp
      • ExpBase.inverse()
      • ExpBase.unbranched
    • LambertW
      • LambertW.default_assumptions
      • LambertW.eval()
      • LambertW.fdiff()
    • exp
      • exp.as_real_imag()
      • exp.base
      • exp.default_assumptions
      • exp.eval()
      • exp.fdiff()
      • exp.taylor_term()
    • exp_polar
      • exp_polar.as_base_exp()
      • exp_polar.default_assumptions
      • exp_polar.is_comparable
      • exp_polar.is_polar
    • log
      • log.as_base_exp()
      • log.as_real_imag()
      • log.default_assumptions
      • log.eval()
      • log.fdiff()
      • log.inverse()
      • log.taylor_term()
  • modelparameters.sympy.functions.elementary.hyperbolic module
    • HyperbolicFunction
      • HyperbolicFunction.default_assumptions
      • HyperbolicFunction.unbranched
    • ReciprocalHyperbolicFunction
      • ReciprocalHyperbolicFunction.as_real_imag()
      • ReciprocalHyperbolicFunction.default_assumptions
      • ReciprocalHyperbolicFunction.eval()
    • acosh
      • acosh.default_assumptions
      • acosh.eval()
      • acosh.fdiff()
      • acosh.inverse()
      • acosh.taylor_term()
    • acoth
      • acoth.default_assumptions
      • acoth.eval()
      • acoth.fdiff()
      • acoth.inverse()
      • acoth.taylor_term()
    • acsch
      • acsch.default_assumptions
      • acsch.eval()
      • acsch.fdiff()
      • acsch.inverse()
    • asech
      • asech.default_assumptions
      • asech.eval()
      • asech.expansion_term()
      • asech.fdiff()
      • asech.inverse()
    • asinh
      • asinh.default_assumptions
      • asinh.eval()
      • asinh.fdiff()
      • asinh.inverse()
      • asinh.taylor_term()
    • atanh
      • atanh.default_assumptions
      • atanh.eval()
      • atanh.fdiff()
      • atanh.inverse()
      • atanh.taylor_term()
    • cosh
      • cosh.as_real_imag()
      • cosh.default_assumptions
      • cosh.eval()
      • cosh.fdiff()
      • cosh.taylor_term()
    • coth
      • coth.as_real_imag()
      • coth.default_assumptions
      • coth.eval()
      • coth.fdiff()
      • coth.inverse()
      • coth.taylor_term()
    • csch
      • csch.default_assumptions
      • csch.fdiff()
      • csch.taylor_term()
    • sech
      • sech.default_assumptions
      • sech.fdiff()
      • sech.taylor_term()
    • sinh
      • sinh.as_real_imag()
      • sinh.default_assumptions
      • sinh.eval()
      • sinh.fdiff()
      • sinh.inverse()
      • sinh.taylor_term()
    • tanh
      • tanh.as_real_imag()
      • tanh.default_assumptions
      • tanh.eval()
      • tanh.fdiff()
      • tanh.inverse()
      • tanh.taylor_term()
  • modelparameters.sympy.functions.elementary.integers module
    • RoundFunction
      • RoundFunction.default_assumptions
      • RoundFunction.eval()
    • ceiling
      • ceiling.default_assumptions
    • floor
      • floor.default_assumptions
    • frac
      • frac.default_assumptions
      • frac.eval()
  • modelparameters.sympy.functions.elementary.miscellaneous module
    • IdentityFunction
      • IdentityFunction.default_assumptions
    • Max
      • Max.default_assumptions
      • Max.fdiff()
      • Max.identity
      • Max.is_commutative
      • Max.zero
    • Min
      • Min.default_assumptions
      • Min.fdiff()
      • Min.identity
      • Min.is_commutative
      • Min.zero
    • MinMaxBase
      • MinMaxBase.default_assumptions
      • MinMaxBase.evalf()
      • MinMaxBase.is_commutative
      • MinMaxBase.n()
    • cbrt()
    • real_root()
    • root()
    • sqrt()
  • modelparameters.sympy.functions.elementary.piecewise module
    • ExprCondPair
      • ExprCondPair.cond
      • ExprCondPair.default_assumptions
      • ExprCondPair.expr
      • ExprCondPair.free_symbols
      • ExprCondPair.is_commutative
    • Piecewise
      • Piecewise.as_expr_set_pairs()
      • Piecewise.default_assumptions
      • Piecewise.doit()
      • Piecewise.eval()
      • Piecewise.is_Piecewise
      • Piecewise.nargs
    • piecewise_fold()
  • modelparameters.sympy.functions.elementary.trigonometric module
    • InverseTrigonometricFunction
      • InverseTrigonometricFunction.default_assumptions
    • ReciprocalTrigonometricFunction
      • ReciprocalTrigonometricFunction.as_real_imag()
      • ReciprocalTrigonometricFunction.default_assumptions
      • ReciprocalTrigonometricFunction.eval()
      • ReciprocalTrigonometricFunction.fdiff()
    • TrigonometricFunction
      • TrigonometricFunction.default_assumptions
      • TrigonometricFunction.unbranched
    • acos
      • acos.default_assumptions
      • acos.eval()
      • acos.fdiff()
      • acos.inverse()
      • acos.taylor_term()
    • acot
      • acot.default_assumptions
      • acot.eval()
      • acot.fdiff()
      • acot.inverse()
      • acot.taylor_term()
    • acsc
      • acsc.default_assumptions
      • acsc.eval()
      • acsc.fdiff()
      • acsc.inverse()
    • asec
      • asec.default_assumptions
      • asec.eval()
      • asec.fdiff()
      • asec.inverse()
    • asin
      • asin.default_assumptions
      • asin.eval()
      • asin.fdiff()
      • asin.inverse()
      • asin.taylor_term()
    • atan
      • atan.default_assumptions
      • atan.eval()
      • atan.fdiff()
      • atan.inverse()
      • atan.taylor_term()
    • atan2
      • atan2.default_assumptions
      • atan2.eval()
      • atan2.fdiff()
    • cos
      • cos.as_real_imag()
      • cos.default_assumptions
      • cos.eval()
      • cos.fdiff()
      • cos.period()
      • cos.taylor_term()
    • cot
      • cot.as_real_imag()
      • cot.default_assumptions
      • cot.eval()
      • cot.fdiff()
      • cot.inverse()
      • cot.period()
      • cot.taylor_term()
    • csc
      • csc.default_assumptions
      • csc.fdiff()
      • csc.period()
      • csc.taylor_term()
    • sec
      • sec.default_assumptions
      • sec.fdiff()
      • sec.period()
      • sec.taylor_term()
    • sin
      • sin.as_real_imag()
      • sin.default_assumptions
      • sin.eval()
      • sin.fdiff()
      • sin.period()
      • sin.taylor_term()
    • sinc
      • sinc.default_assumptions
      • sinc.eval()
      • sinc.fdiff()
    • tan
      • tan.as_real_imag()
      • tan.default_assumptions
      • tan.eval()
      • tan.fdiff()
      • tan.inverse()
      • tan.period()
      • tan.taylor_term()
  • Module contents
• modelparameters.sympy.functions.special package
  • Submodules
  • modelparameters.sympy.functions.special.bessel module
    • AiryBase
      • AiryBase.as_real_imag()
      • AiryBase.default_assumptions
    • BesselBase
      • BesselBase.argument
      • BesselBase.default_assumptions
      • BesselBase.eval()
      • BesselBase.fdiff()
      • BesselBase.order
    • SphericalBesselBase
      • SphericalBesselBase.default_assumptions
      • SphericalBesselBase.fdiff()
    • SphericalHankelBase
      • SphericalHankelBase.default_assumptions
    • airyai
      • airyai.default_assumptions
      • airyai.eval()
      • airyai.fdiff()
      • airyai.nargs
      • airyai.taylor_term()
      • airyai.unbranched
    • airyaiprime
      • airyaiprime.default_assumptions
      • airyaiprime.eval()
      • airyaiprime.fdiff()
      • airyaiprime.nargs
      • airyaiprime.unbranched
    • airybi
      • airybi.default_assumptions
      • airybi.eval()
      • airybi.fdiff()
      • airybi.nargs
      • airybi.taylor_term()
      • airybi.unbranched
    • airybiprime
      • airybiprime.default_assumptions
      • airybiprime.eval()
      • airybiprime.fdiff()
      • airybiprime.nargs
      • airybiprime.unbranched
    • assume_integer_order()
    • besseli
      • besseli.default_assumptions
      • besseli.eval()
    • besselj
      • besselj.default_assumptions
      • besselj.eval()
    • besselk
      • besselk.default_assumptions
      • besselk.eval()
    • bessely
      • bessely.default_assumptions
      • bessely.eval()
    • hankel1
      • hankel1.default_assumptions
    • hankel2
      • hankel2.default_assumptions
    • hn1
      • hn1.default_assumptions
    • hn2
      • hn2.default_assumptions
    • jn
      • jn.default_assumptions
    • jn_zeros()
    • yn
      • yn.default_assumptions
  • modelparameters.sympy.functions.special.beta_functions module
    • beta
      • beta.default_assumptions
      • beta.eval()
      • beta.fdiff()
      • beta.nargs
      • beta.unbranched
  • modelparameters.sympy.functions.special.bsplines module
    • bspline_basis()
    • bspline_basis_set()
  • modelparameters.sympy.functions.special.delta_functions module
    • DiracDelta
      • DiracDelta.default_assumptions
      • DiracDelta.eval()
      • DiracDelta.fdiff()
      • DiracDelta.is_commutative
      • DiracDelta.is_complex
      • DiracDelta.is_hermitian
      • DiracDelta.is_imaginary
      • DiracDelta.is_real
      • DiracDelta.is_simple()
      • DiracDelta.simplify()
    • Heaviside
      • Heaviside.default_assumptions
      • Heaviside.eval()
      • Heaviside.fdiff()
      • Heaviside.is_commutative
      • Heaviside.is_complex
      • Heaviside.is_hermitian
      • Heaviside.is_imaginary
      • Heaviside.is_real
  • modelparameters.sympy.functions.special.elliptic_integrals module
    • elliptic_e
      • elliptic_e.default_assumptions
      • elliptic_e.eval()
      • elliptic_e.fdiff()
    • elliptic_f
      • elliptic_f.default_assumptions
      • elliptic_f.eval()
      • elliptic_f.fdiff()
    • elliptic_k
      • elliptic_k.default_assumptions
      • elliptic_k.eval()
      • elliptic_k.fdiff()
    • elliptic_pi
      • elliptic_pi.default_assumptions
      • elliptic_pi.eval()
      • elliptic_pi.fdiff()
  • modelparameters.sympy.functions.special.error_functions module
    • Chi
      • Chi.default_assumptions
    • Ci
      • Ci.default_assumptions
    • E1()
    • Ei
      • Ei.default_assumptions
      • Ei.eval()
      • Ei.fdiff()
    • FresnelIntegral
      • FresnelIntegral.as_real_imag()
      • FresnelIntegral.default_assumptions
      • FresnelIntegral.eval()
      • FresnelIntegral.fdiff()
      • FresnelIntegral.unbranched
    • Li
      • Li.default_assumptions
      • Li.eval()
      • Li.fdiff()
    • Shi
      • Shi.default_assumptions
    • Si
      • Si.default_assumptions
    • TrigonometricIntegral
      • TrigonometricIntegral.default_assumptions
      • TrigonometricIntegral.eval()
      • TrigonometricIntegral.fdiff()
    • erf
      • erf.as_real_imag()
      • erf.default_assumptions
      • erf.eval()
      • erf.fdiff()
      • erf.inverse()
      • erf.taylor_term()
      • erf.unbranched
    • erf2
      • erf2.default_assumptions
      • erf2.eval()
      • erf2.fdiff()
    • erf2inv
      • erf2inv.default_assumptions
      • erf2inv.eval()
      • erf2inv.fdiff()
    • erfc
      • erfc.as_real_imag()
      • erfc.default_assumptions
      • erfc.eval()
      • erfc.fdiff()
      • erfc.inverse()
      • erfc.taylor_term()
      • erfc.unbranched
    • erfcinv
      • erfcinv.default_assumptions
      • erfcinv.eval()
      • erfcinv.fdiff()
      • erfcinv.inverse()
    • erfi
      • erfi.as_real_imag()
      • erfi.default_assumptions
      • erfi.eval()
      • erfi.fdiff()
      • erfi.taylor_term()
      • erfi.unbranched
    • erfinv
      • erfinv.default_assumptions
      • erfinv.eval()
      • erfinv.fdiff()
      • erfinv.inverse()
    • expint
      • expint.default_assumptions
      • expint.eval()
      • expint.fdiff()
    • fresnelc
      • fresnelc.default_assumptions
      • fresnelc.taylor_term()
    • fresnels
      • fresnels.default_assumptions
      • fresnels.taylor_term()
    • li
      • li.default_assumptions
      • li.eval()
      • li.fdiff()
  • modelparameters.sympy.functions.special.gamma_functions module
    • digamma()
    • gamma
      • gamma.default_assumptions
      • gamma.eval()
      • gamma.fdiff()
      • gamma.unbranched
    • loggamma
      • loggamma.default_assumptions
      • loggamma.eval()
      • loggamma.fdiff()
    • lowergamma
      • lowergamma.default_assumptions
      • lowergamma.eval()
      • lowergamma.fdiff()
    • polygamma
      • polygamma.default_assumptions
      • polygamma.eval()
      • polygamma.fdiff()
    • trigamma()
    • uppergamma
      • uppergamma.default_assumptions
      • uppergamma.eval()
      • uppergamma.fdiff()
  • modelparameters.sympy.functions.special.hyper module
    • HyperRep
      • HyperRep.default_assumptions
      • HyperRep.eval()
    • HyperRep_asin1
      • HyperRep_asin1.default_assumptions
    • HyperRep_asin2
      • HyperRep_asin2.default_assumptions
    • HyperRep_atanh
      • HyperRep_atanh.default_assumptions
    • HyperRep_cosasin
      • HyperRep_cosasin.default_assumptions
    • HyperRep_log1
      • HyperRep_log1.default_assumptions
    • HyperRep_log2
      • HyperRep_log2.default_assumptions
    • HyperRep_power1
      • HyperRep_power1.default_assumptions
    • HyperRep_power2
      • HyperRep_power2.default_assumptions
    • HyperRep_sinasin
      • HyperRep_sinasin.default_assumptions
    • HyperRep_sqrts1
      • HyperRep_sqrts1.default_assumptions
    • HyperRep_sqrts2
      • HyperRep_sqrts2.default_assumptions
    • TupleArg
      • TupleArg.default_assumptions
      • TupleArg.limit()
    • TupleParametersBase
      • TupleParametersBase.default_assumptions
      • TupleParametersBase.is_commutative
    • hyper
      • hyper.ap
      • hyper.argument
      • hyper.bq
      • hyper.convergence_statement
      • hyper.default_assumptions
      • hyper.eta
      • hyper.eval()
      • hyper.fdiff()
      • hyper.is_commutative
      • hyper.radius_of_convergence
    • meijerg
      • meijerg.an
      • meijerg.aother
      • meijerg.ap
      • meijerg.argument
      • meijerg.bm
      • meijerg.bother
      • meijerg.bq
      • meijerg.default_assumptions
      • meijerg.delta
      • meijerg.fdiff()
      • meijerg.get_period()
      • meijerg.integrand()
      • meijerg.is_commutative
      • meijerg.nu
  • modelparameters.sympy.functions.special.mathieu_functions module
    • MathieuBase
      • MathieuBase.default_assumptions
      • MathieuBase.unbranched
    • mathieuc
      • mathieuc.default_assumptions
      • mathieuc.eval()
      • mathieuc.fdiff()
    • mathieucprime
      • mathieucprime.default_assumptions
      • mathieucprime.eval()
      • mathieucprime.fdiff()
    • mathieus
      • mathieus.default_assumptions
      • mathieus.eval()
      • mathieus.fdiff()
    • mathieusprime
      • mathieusprime.default_assumptions
      • mathieusprime.eval()
      • mathieusprime.fdiff()
  • modelparameters.sympy.functions.special.polynomials module
    • OrthogonalPolynomial
      • OrthogonalPolynomial.default_assumptions
    • assoc_laguerre
      • assoc_laguerre.default_assumptions
      • assoc_laguerre.eval()
      • assoc_laguerre.fdiff()
    • assoc_legendre
      • assoc_legendre.default_assumptions
      • assoc_legendre.eval()
      • assoc_legendre.fdiff()
    • chebyshevt
      • chebyshevt.default_assumptions
      • chebyshevt.eval()
      • chebyshevt.fdiff()
    • chebyshevt_root
      • chebyshevt_root.default_assumptions
      • chebyshevt_root.eval()
    • chebyshevu
      • chebyshevu.default_assumptions
      • chebyshevu.eval()
      • chebyshevu.fdiff()
    • chebyshevu_root
      • chebyshevu_root.default_assumptions
      • chebyshevu_root.eval()
    • gegenbauer
      • gegenbauer.default_assumptions
      • gegenbauer.eval()
      • gegenbauer.fdiff()
    • hermite
      • hermite.default_assumptions
      • hermite.eval()
      • hermite.fdiff()
    • jacobi
      • jacobi.default_assumptions
      • jacobi.eval()
      • jacobi.fdiff()
    • jacobi_normalized()
    • laguerre
      • laguerre.default_assumptions
      • laguerre.eval()
      • laguerre.fdiff()
    • legendre
      • legendre.default_assumptions
      • legendre.eval()
      • legendre.fdiff()
  • modelparameters.sympy.functions.special.singularity_functions module
    • SingularityFunction
      • SingularityFunction.default_assumptions
      • SingularityFunction.eval()
      • SingularityFunction.fdiff()
      • SingularityFunction.is_commutative
      • SingularityFunction.is_complex
      • SingularityFunction.is_hermitian
      • SingularityFunction.is_imaginary
      • SingularityFunction.is_real
  • modelparameters.sympy.functions.special.spherical_harmonics module
    • Ynm
      • Ynm.as_real_imag()
      • Ynm.default_assumptions
      • Ynm.eval()
      • Ynm.fdiff()
    • Ynm_c()
    • Znm
      • Znm.default_assumptions
      • Znm.eval()
  • modelparameters.sympy.functions.special.tensor_functions module
    • Eijk()
    • KroneckerDelta
      • KroneckerDelta.default_assumptions
      • KroneckerDelta.eval()
      • KroneckerDelta.indices
      • KroneckerDelta.indices_contain_equal_information
      • KroneckerDelta.is_above_fermi
      • KroneckerDelta.is_algebraic
      • KroneckerDelta.is_below_fermi
      • KroneckerDelta.is_commutative
      • KroneckerDelta.is_complex
      • KroneckerDelta.is_hermitian
      • KroneckerDelta.is_imaginary
      • KroneckerDelta.is_integer
      • KroneckerDelta.is_irrational
      • KroneckerDelta.is_noninteger
      • KroneckerDelta.is_only_above_fermi
      • KroneckerDelta.is_only_below_fermi
      • KroneckerDelta.is_rational
      • KroneckerDelta.is_real
      • KroneckerDelta.is_transcendental
      • KroneckerDelta.killable_index
      • KroneckerDelta.preferred_index
    • LeviCivita
      • LeviCivita.default_assumptions
      • LeviCivita.doit()
      • LeviCivita.eval()
      • LeviCivita.is_algebraic
      • LeviCivita.is_commutative
      • LeviCivita.is_complex
      • LeviCivita.is_hermitian
      • LeviCivita.is_imaginary
      • LeviCivita.is_integer
      • LeviCivita.is_irrational
      • LeviCivita.is_noninteger
      • LeviCivita.is_rational
      • LeviCivita.is_real
      • LeviCivita.is_transcendental
    • eval_levicivita()
  • modelparameters.sympy.functions.special.zeta_functions module
    • dirichlet_eta
      • dirichlet_eta.default_assumptions
      • dirichlet_eta.eval()
    • lerchphi
      • lerchphi.default_assumptions
      • lerchphi.fdiff()
    • polylog
      • polylog.default_assumptions
      • polylog.eval()
      • polylog.fdiff()
    • stieltjes
      • stieltjes.default_assumptions
      • stieltjes.eval()
    • zeta
      • zeta.default_assumptions
      • zeta.eval()
      • zeta.fdiff()
  • Module contents

Module contents

A functions module, includes all the standard functions.

Combinatorial - factorial, fibonacci, harmonic, bernoulli… Elementary - hyperbolic, trigonometric, exponential, floor and ceiling, sqrt… Special - gamma, zeta,spherical harmonics…