Index

A | B | C | D | E | F | G | H | I | J | L | M | O | P | R | S | T | U | V | W | Z

A

airy_ai() (in module sage.functions.airy)
airy_bi() (in module sage.functions.airy)
approximate() (sage.functions.transcendental.DickmanRho method)

B

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

C

ChebyshevFunction (class in sage.functions.orthogonal_polys)
clebsch_gordan() (in module sage.functions.wigner)
closed_form() (in module sage.functions.hypergeometric)
convolution() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method)
critical_points() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method)

D

deflated() (sage.functions.hypergeometric.Hypergeometric.EvaluationMethods method)
DickmanRho (class in sage.functions.transcendental)
domain() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method)
domains() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method)

E

eliminate_parameters() (sage.functions.hypergeometric.Hypergeometric.EvaluationMethods method)
elliptic_eu_f() (in module sage.functions.special)
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.PiecewiseFunction.EvaluationMethods 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.OrthogonalFunction method)
eval_helper() (sage.functions.min_max.MinMax_base method)
exponential_integral_1() (in module sage.functions.exp_integral)
expression_at() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method)
expressions() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method)
extension() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method)

F

fourier_series_cosine_coefficient() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method)
fourier_series_partial_sum() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method)
fourier_series_sine_coefficient() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method)
Func_chebyshev_T (class in sage.functions.orthogonal_polys)
Func_chebyshev_U (class in sage.functions.orthogonal_polys)
Func_gen_laguerre (class in sage.functions.orthogonal_polys)
Func_hermite (class in sage.functions.orthogonal_polys)
Func_laguerre (class in sage.functions.orthogonal_polys)
Func_ultraspherical (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_exp_polar (class in sage.functions.log)
Function_factorial (class in sage.functions.other)
Function_floor (class in sage.functions.other)
Function_frac (class in sage.functions.other)
Function_gamma (class in sage.functions.other)
Function_gamma_inc (class in sage.functions.other)
Function_gamma_inc_lower (class in sage.functions.other)
Function_Hankel1 (class in sage.functions.bessel)
Function_Hankel2 (class in sage.functions.bessel)
Function_harmonic_number (class in sage.functions.log)
Function_harmonic_number_generalized (class in sage.functions.log)
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_Order (class in sage.functions.other)
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_stieltjes (class in sage.functions.transcendental)
Function_Struve_H (class in sage.functions.bessel)
Function_Struve_L (class in sage.functions.bessel)
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)
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)
gen_legendre_P() (in module sage.functions.orthogonal_polys)
gen_legendre_Q() (in module sage.functions.orthogonal_polys)
generalized() (sage.functions.hypergeometric.Hypergeometric_M.EvaluationMethods method)
(sage.functions.hypergeometric.Hypergeometric_U.EvaluationMethods method)

H

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_M (class in sage.functions.hypergeometric)
Hypergeometric_M.EvaluationMethods (class in sage.functions.hypergeometric)
Hypergeometric_U (class in sage.functions.hypergeometric)
Hypergeometric_U.EvaluationMethods (class in sage.functions.hypergeometric)

I

in_operands() (sage.functions.piecewise.PiecewiseFunction static method)
incomplete_gamma() (in module sage.functions.other)
integral() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods 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)
items() (sage.functions.piecewise.PiecewiseFunction.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

laplace() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods 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)

M

MaxSymbolic (class in sage.functions.min_max)
MinMax_base (class in sage.functions.min_max)
MinSymbolic (class in sage.functions.min_max)

O

OrthogonalFunction (class in sage.functions.orthogonal_polys)

P

partial_sieve_function() (in module sage.functions.prime_pi)
pieces() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method)
piecewise_add() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method)
PiecewiseFunction (class in sage.functions.piecewise)
PiecewiseFunction.EvaluationMethods (class in sage.functions.piecewise)
plot() (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)
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)
restriction() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods 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)
simplify() (sage.functions.piecewise.PiecewiseFunction static method)
sorted_parameters() (sage.functions.hypergeometric.Hypergeometric.EvaluationMethods method)
spherical_bessel_f() (in module sage.functions.bessel)
SphericalBesselJ (class in sage.functions.bessel)
SphericalBesselY (class in sage.functions.bessel)
SphericalHankel1 (class in sage.functions.bessel)
SphericalHankel2 (class in sage.functions.bessel)
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

terms() (sage.functions.hypergeometric.Hypergeometric.EvaluationMethods method)
trapezoid() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method)

U

unextend_zero() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method)

V

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

W

which_function() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods 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)