Index A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | R | S | T | U | V | W | Z A airy_ai() (in module sage.functions.airy) airy_bi() (in module sage.functions.airy) annihilating_ore_polynomial() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_GFp method) approximate() (sage.functions.transcendental.DickmanRho method) B base_ring() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic method) (sage.functions.hypergeometric_algebraic.HypergeometricFunctions method) Bessel() (in module sage.functions.bessel) bottom() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic method) C change_ring() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic method) (sage.functions.hypergeometric_algebraic.HypergeometricFunctions method) change_variable_name() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic method) (sage.functions.hypergeometric_algebraic.HypergeometricFunctions method) ChebyshevFunction (class in sage.functions.orthogonal_polys) clebsch_gordan() (in module sage.functions.wigner) closed_form() (in module sage.functions.hypergeometric) coefficient() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic method) convolution() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method) critical_points() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method) D deflated() (sage.functions.hypergeometric.Hypergeometric.EvaluationMethods method) degree() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic method) derivative() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic method) DickmanRho (class in sage.functions.transcendental) differential_operator() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic method) domain() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method) domains() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method) dwork_image() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_padic method) dwork_relation() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_GFp 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) 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.Func_hahn method) (sage.functions.orthogonal_polys.Func_krawtchouk method) (sage.functions.orthogonal_polys.Func_legendre_Q method) (sage.functions.orthogonal_polys.Func_meixner method) (sage.functions.orthogonal_polys.OrthogonalFunction method) eval_gen_poly() (sage.functions.orthogonal_polys.Func_assoc_legendre_P method) eval_helper() (sage.functions.min_max.MinMax_base method) eval_recursive() (sage.functions.orthogonal_polys.Func_assoc_legendre_Q method) (sage.functions.orthogonal_polys.Func_hahn method) (sage.functions.orthogonal_polys.Func_krawtchouk method) (sage.functions.orthogonal_polys.Func_legendre_Q method) (sage.functions.orthogonal_polys.Func_meixner 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_assoc_legendre_P (class in sage.functions.orthogonal_polys) Func_assoc_legendre_Q (class in sage.functions.orthogonal_polys) 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_hahn (class in sage.functions.orthogonal_polys) Func_hermite (class in sage.functions.orthogonal_polys) Func_jacobi_P (class in sage.functions.orthogonal_polys) Func_krawtchouk (class in sage.functions.orthogonal_polys) Func_laguerre (class in sage.functions.orthogonal_polys) Func_legendre_P (class in sage.functions.orthogonal_polys) Func_legendre_Q (class in sage.functions.orthogonal_polys) Func_meixner (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_binomial (class in sage.functions.other) Function_cases (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_crootof (class in sage.functions.other) Function_csc (class in sage.functions.trig) Function_csch (class in sage.functions.hyperbolic) Function_dilog (class in sage.functions.log) Function_elementof (class in sage.functions.other) Function_erf (class in sage.functions.error) Function_erfc (class in sage.functions.error) Function_erfi (class in sage.functions.error) Function_erfinv (class in sage.functions.error) 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_Fresnel_cos (class in sage.functions.error) Function_Fresnel_sin (class in sage.functions.error) 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_limit (class in sage.functions.other) Function_log1 (class in sage.functions.log) Function_log2 (class in sage.functions.log) 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_prod (class in sage.functions.other) Function_real_nth_root (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_sum (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) FunctionSignum (class in sage.functions.generalized) FunctionUnitStep (class in sage.functions.generalized) G gaunt() (in module sage.functions.wigner) generalized() (sage.functions.hypergeometric.Hypergeometric_M.EvaluationMethods method) (sage.functions.hypergeometric.Hypergeometric_U.EvaluationMethods method) good_reduction_primes() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_QQ method) H hadamard_product() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic method) has_good_reduction() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_QQ method) hurwitz_zeta() (in module sage.functions.transcendental) 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) HypergeometricAlgebraic (class in sage.functions.hypergeometric_algebraic) HypergeometricAlgebraic_GFp (class in sage.functions.hypergeometric_algebraic) HypergeometricAlgebraic_padic (class in sage.functions.hypergeometric_algebraic) HypergeometricAlgebraic_QQ (class in sage.functions.hypergeometric_algebraic) HypergeometricFunctions (class in sage.functions.hypergeometric_algebraic) HypergeometricToSR (class in sage.functions.hypergeometric_algebraic) I in_operands() (sage.functions.piecewise.PiecewiseFunction static method) insert_zeroes() (in module sage.functions.hypergeometric_algebraic) 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_algebraic() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_GFp method) (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_QQ method) is_equal_as_series() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic method) (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_GFp method) is_equal_symbolically() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic method) is_globally_bounded() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_QQ method) is_lucas() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_GFp method) is_maximum_unipotent_monodromy() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_QQ method) is_mum() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_QQ method) is_polynomial() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic 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) JacobiAmplitude (class in sage.functions.jacobi) K kernel() (in module sage.functions.hypergeometric_algebraic) L laplace() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method) latex_variable_name() (sage.functions.hypergeometric_algebraic.HypergeometricFunctions method) legendre_phi() (in module sage.functions.prime_pi) log_radius_of_convergence() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_padic method) M MaxSymbolic (class in sage.functions.min_max) MinMax_base (class in sage.functions.min_max) MinSymbolic (class in sage.functions.min_max) module sage.functions.airy sage.functions.bessel sage.functions.error sage.functions.exp_integral sage.functions.generalized sage.functions.hyperbolic sage.functions.hypergeometric sage.functions.hypergeometric_algebraic sage.functions.jacobi sage.functions.log sage.functions.min_max sage.functions.orthogonal_polys sage.functions.other sage.functions.piecewise sage.functions.prime_pi sage.functions.special sage.functions.spike_function sage.functions.transcendental sage.functions.trig sage.functions.wigner monodromy() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_QQ method) N newton_polygon() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_padic method) O OrthogonalFunction (class in sage.functions.orthogonal_polys) P p_curvature() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_GFp method) p_curvature_corank() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_GFp method) p_curvature_coranks() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_QQ method) 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) polynomial() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic method) polynomial_ring() (sage.functions.hypergeometric_algebraic.HypergeometricFunctions method) power_series() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic method) (sage.functions.transcendental.DickmanRho method) power_series_ring() (sage.functions.hypergeometric_algebraic.HypergeometricFunctions method) PrimePi (class in sage.functions.prime_pi) R racah() (in module sage.functions.wigner) rational_param_as_tuple() (in module sage.functions.hypergeometric) residue() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_padic method) restriction() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method) S sage.functions.airy module sage.functions.bessel module sage.functions.error module sage.functions.exp_integral module sage.functions.generalized module sage.functions.hyperbolic module sage.functions.hypergeometric module sage.functions.hypergeometric_algebraic 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 scalar() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic method) ScalarMultiplication (class in sage.functions.hypergeometric_algebraic) section() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_GFp method) series() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic method) shift() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic method) 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) symbolic_equality() (sage.functions.hypergeometric_algebraic.HypergeometricFunctions method) T tate_series() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_padic method) terms() (sage.functions.hypergeometric.Hypergeometric.EvaluationMethods method) top() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic method) trapezoid() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method) U unextend_zero() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method) V valuation() (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_padic method) (sage.functions.hypergeometric_algebraic.HypergeometricAlgebraic_QQ method) variable_name() (sage.functions.hypergeometric_algebraic.HypergeometricFunctions method) 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 zero() (sage.functions.hypergeometric_algebraic.HypergeometricFunctions method) zeta_symmetric() (in module sage.functions.transcendental)