Index

A

airy_ai() (in module sage.functions.airy) airy_bi() (in module sage.functions.airy)

approximate() (sage.functions.transcendental.DickmanRho method)

B

base_ring() (sage.functions.piecewise.PiecewisePolynomial method)

Bessel() (in module sage.functions.bessel)

C

ChebyshevPolynomial (class in sage.functions.orthogonal_polys) clebsch_gordan() (in module sage.functions.wigner) closed_form() (in module sage.functions.hypergeometric)

convolution() (sage.functions.piecewise.PiecewisePolynomial method) cosine_series_coefficient() (sage.functions.piecewise.PiecewisePolynomial method) critical_points() (sage.functions.piecewise.PiecewisePolynomial method)

D

default_variable() (sage.functions.piecewise.PiecewisePolynomial method) deflated() (sage.functions.hypergeometric.Hypergeometric.EvaluationMethods method) derivative() (sage.functions.piecewise.PiecewisePolynomial method)

DickmanRho (class in sage.functions.transcendental) domain() (sage.functions.piecewise.PiecewisePolynomial method)

E

eliminate_parameters() (sage.functions.hypergeometric.Hypergeometric.EvaluationMethods method) elliptic_j() (in module sage.functions.special) EllipticE (class in sage.functions.special) EllipticEC (class in sage.functions.special) EllipticEU (class in sage.functions.special) EllipticF (class in sage.functions.special) EllipticKC (class in sage.functions.special) EllipticPi (class in sage.functions.special)

end_points() (sage.functions.piecewise.PiecewisePolynomial method) error_fcn() (in module sage.functions.special) eval_algebraic() (sage.functions.orthogonal_polys.Func_chebyshev_T method) (sage.functions.orthogonal_polys.Func_chebyshev_U method) eval_formula() (sage.functions.orthogonal_polys.Func_chebyshev_T method) (sage.functions.orthogonal_polys.Func_chebyshev_U method) (sage.functions.orthogonal_polys.OrthogonalPolynomial method) eval_helper() (sage.functions.min_max.MinMax_base method) exponential_integral_1() (in module sage.functions.exp_integral) extend_by_zero_to() (sage.functions.piecewise.PiecewisePolynomial method)

F

fourier_series_cosine_coefficient() (sage.functions.piecewise.PiecewisePolynomial method) fourier_series_partial_sum() (sage.functions.piecewise.PiecewisePolynomial method) fourier_series_partial_sum_cesaro() (sage.functions.piecewise.PiecewisePolynomial method) fourier_series_partial_sum_filtered() (sage.functions.piecewise.PiecewisePolynomial method) fourier_series_partial_sum_hann() (sage.functions.piecewise.PiecewisePolynomial method) fourier_series_sine_coefficient() (sage.functions.piecewise.PiecewisePolynomial method) fourier_series_value() (sage.functions.piecewise.PiecewisePolynomial method) Func_chebyshev_T (class in sage.functions.orthogonal_polys) Func_chebyshev_U (class in sage.functions.orthogonal_polys) Function_abs (class in sage.functions.other) Function_arccos (class in sage.functions.trig) Function_arccosh (class in sage.functions.hyperbolic) Function_arccot (class in sage.functions.trig) Function_arccoth (class in sage.functions.hyperbolic) Function_arccsc (class in sage.functions.trig) Function_arccsch (class in sage.functions.hyperbolic) Function_arcsec (class in sage.functions.trig) Function_arcsech (class in sage.functions.hyperbolic) Function_arcsin (class in sage.functions.trig) Function_arcsinh (class in sage.functions.hyperbolic) Function_arctan (class in sage.functions.trig) Function_arctan2 (class in sage.functions.trig) Function_arctanh (class in sage.functions.hyperbolic) Function_arg (class in sage.functions.other) Function_Bessel_I (class in sage.functions.bessel) Function_Bessel_J (class in sage.functions.bessel) Function_Bessel_K (class in sage.functions.bessel) Function_Bessel_Y (class in sage.functions.bessel) Function_beta (class in sage.functions.other) Function_binomial (class in sage.functions.other) Function_ceil (class in sage.functions.other) Function_conjugate (class in sage.functions.other) Function_cos (class in sage.functions.trig) Function_cos_integral (class in sage.functions.exp_integral) Function_cosh (class in sage.functions.hyperbolic) Function_cosh_integral (class in sage.functions.exp_integral) Function_cot (class in sage.functions.trig) Function_coth (class in sage.functions.hyperbolic) Function_csc (class in sage.functions.trig) Function_csch (class in sage.functions.hyperbolic) Function_dilog (class in sage.functions.log) Function_erf (class in sage.functions.other)

Function_exp (class in sage.functions.log) Function_exp_integral (class in sage.functions.exp_integral) Function_exp_integral_e (class in sage.functions.exp_integral) Function_exp_integral_e1 (class in sage.functions.exp_integral) Function_factorial (class in sage.functions.other) Function_floor (class in sage.functions.other) Function_gamma (class in sage.functions.other) Function_gamma_inc (class in sage.functions.other) Function_HurwitzZeta (class in sage.functions.transcendental) Function_imag_part (class in sage.functions.other) Function_lambert_w (class in sage.functions.log) Function_log (class in sage.functions.log) Function_log_gamma (class in sage.functions.other) Function_log_integral (class in sage.functions.exp_integral) Function_log_integral_offset (class in sage.functions.exp_integral) Function_polylog (class in sage.functions.log) Function_psi1 (class in sage.functions.other) Function_psi2 (class in sage.functions.other) Function_real_part (class in sage.functions.other) Function_sec (class in sage.functions.trig) Function_sech (class in sage.functions.hyperbolic) Function_sin (class in sage.functions.trig) Function_sin_integral (class in sage.functions.exp_integral) Function_sinh (class in sage.functions.hyperbolic) Function_sinh_integral (class in sage.functions.exp_integral) Function_sqrt (class in sage.functions.other) Function_tan (class in sage.functions.trig) Function_tanh (class in sage.functions.hyperbolic) Function_zeta (class in sage.functions.transcendental) Function_zetaderiv (class in sage.functions.transcendental) FunctionAiryAiGeneral (class in sage.functions.airy) FunctionAiryAiPrime (class in sage.functions.airy) FunctionAiryAiSimple (class in sage.functions.airy) FunctionAiryBiGeneral (class in sage.functions.airy) FunctionAiryBiPrime (class in sage.functions.airy) FunctionAiryBiSimple (class in sage.functions.airy) FunctionDiracDelta (class in sage.functions.generalized) FunctionHeaviside (class in sage.functions.generalized) FunctionKroneckerDelta (class in sage.functions.generalized) functions() (sage.functions.piecewise.PiecewisePolynomial method) FunctionSignum (class in sage.functions.generalized) FunctionUnitStep (class in sage.functions.generalized)

G

gamma() (in module sage.functions.other) gaunt() (in module sage.functions.wigner) gegenbauer() (in module sage.functions.orthogonal_polys)

gen_laguerre() (in module sage.functions.orthogonal_polys) gen_legendre_P() (in module sage.functions.orthogonal_polys) gen_legendre_Q() (in module sage.functions.orthogonal_polys)

H

hermite() (in module sage.functions.orthogonal_polys) hurwitz_zeta() (in module sage.functions.transcendental) HyperbolicFunction (class in sage.functions.hyperbolic)

Hypergeometric (class in sage.functions.hypergeometric) Hypergeometric.EvaluationMethods (class in sage.functions.hypergeometric) hypergeometric_U() (in module sage.functions.special)

I

integral() (sage.functions.piecewise.PiecewisePolynomial method) intervals() (sage.functions.piecewise.PiecewisePolynomial method) inverse_jacobi() (in module sage.functions.jacobi) inverse_jacobi_f() (in module sage.functions.jacobi)

InverseJacobi (class in sage.functions.jacobi) is_absolutely_convergent() (sage.functions.hypergeometric.Hypergeometric.EvaluationMethods method) is_terminating() (sage.functions.hypergeometric.Hypergeometric.EvaluationMethods method) is_termwise_finite() (sage.functions.hypergeometric.Hypergeometric.EvaluationMethods method)

J

Jacobi (class in sage.functions.jacobi) jacobi() (in module sage.functions.jacobi) jacobi_am_f() (in module sage.functions.jacobi)

jacobi_P() (in module sage.functions.orthogonal_polys) JacobiAmplitude (class in sage.functions.jacobi)

L

laguerre() (in module sage.functions.orthogonal_polys) laplace() (sage.functions.piecewise.PiecewisePolynomial method) legendre_P() (in module sage.functions.orthogonal_polys) legendre_phi() (in module sage.functions.prime_pi)

legendre_Q() (in module sage.functions.orthogonal_polys) length() (sage.functions.piecewise.PiecewisePolynomial method) list() (sage.functions.piecewise.PiecewisePolynomial method)

M

maxima_function() (in module sage.functions.special) MaximaFunction (class in sage.functions.special) MaxSymbolic (class in sage.functions.min_max)

meval() (in module sage.functions.special) MinMax_base (class in sage.functions.min_max) MinSymbolic (class in sage.functions.min_max)

O

OrthogonalPolynomial (class in sage.functions.orthogonal_polys)

P

partial_sieve_function() (in module sage.functions.prime_pi) Piecewise() (in module sage.functions.piecewise) piecewise() (in module sage.functions.piecewise) PiecewisePolynomial (class in sage.functions.piecewise) plot() (sage.functions.piecewise.PiecewisePolynomial method) (sage.functions.prime_pi.PrimePi method) (sage.functions.spike_function.SpikeFunction method) plot_fft_abs() (sage.functions.spike_function.SpikeFunction method) plot_fft_arg() (sage.functions.spike_function.SpikeFunction method)

plot_fourier_series_partial_sum() (sage.functions.piecewise.PiecewisePolynomial method) plot_fourier_series_partial_sum_cesaro() (sage.functions.piecewise.PiecewisePolynomial method) plot_fourier_series_partial_sum_filtered() (sage.functions.piecewise.PiecewisePolynomial method) plot_fourier_series_partial_sum_hann() (sage.functions.piecewise.PiecewisePolynomial method) power_series() (sage.functions.transcendental.DickmanRho method) PrimePi (class in sage.functions.prime_pi) psi() (in module sage.functions.other)

R

racah() (in module sage.functions.wigner) rational_param_as_tuple() (in module sage.functions.hypergeometric)

riemann_sum() (sage.functions.piecewise.PiecewisePolynomial method) riemann_sum_integral_approximation() (sage.functions.piecewise.PiecewisePolynomial method)

S

sage.functions.airy (module) sage.functions.bessel (module) sage.functions.exp_integral (module) sage.functions.generalized (module) sage.functions.hyperbolic (module) sage.functions.hypergeometric (module) sage.functions.jacobi (module) sage.functions.log (module) sage.functions.min_max (module) sage.functions.orthogonal_polys (module) sage.functions.other (module) sage.functions.piecewise (module) sage.functions.prime_pi (module) sage.functions.special (module)

sage.functions.spike_function (module) sage.functions.transcendental (module) sage.functions.trig (module) sage.functions.wigner (module) sine_series_coefficient() (sage.functions.piecewise.PiecewisePolynomial method) sorted_parameters() (sage.functions.hypergeometric.Hypergeometric.EvaluationMethods method) spherical_bessel_J() (in module sage.functions.special) spherical_bessel_Y() (in module sage.functions.special) spherical_hankel1() (in module sage.functions.special) spherical_hankel2() (in module sage.functions.special) SphericalHarmonic (class in sage.functions.special) spike_function (in module sage.functions.spike_function) SpikeFunction (class in sage.functions.spike_function) sqrt() (in module sage.functions.other)

T

tangent_line() (sage.functions.piecewise.PiecewisePolynomial method) terms() (sage.functions.hypergeometric.Hypergeometric.EvaluationMethods method)

trapezoid() (sage.functions.piecewise.PiecewisePolynomial method) trapezoid_integral_approximation() (sage.functions.piecewise.PiecewisePolynomial method)

U

ultraspherical() (in module sage.functions.orthogonal_polys)

unextend() (sage.functions.piecewise.PiecewisePolynomial method)

V

vector() (sage.functions.spike_function.SpikeFunction method)

W

which_function() (sage.functions.piecewise.PiecewisePolynomial method) wigner_3j() (in module sage.functions.wigner)

wigner_6j() (in module sage.functions.wigner) wigner_9j() (in module sage.functions.wigner)

Z

zeta_symmetric() (in module sage.functions.transcendental)