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from __future__ import absolute_import
from sage.misc.lazy_import import lazy_import
lazy_import('sage.functions.piecewise_old', 'Piecewise') # deprecated lazy_import('sage.functions.piecewise', 'piecewise') lazy_import('sage.functions.error', ['erf', 'erfc', 'erfi', 'erfinv'])
from .trig import ( sin, cos, sec, csc, cot, tan, asin, acos, atan, acot, acsc, asec, arcsin, arccos, arctan, arccot, arccsc, arcsec, arctan2, atan2)
from .hyperbolic import ( tanh, sinh, cosh, coth, sech, csch, asinh, acosh, atanh, acoth, asech, acsch, arcsinh, arccosh, arctanh, arccoth, arcsech, arccsch )
reciprocal_trig_functions = {'sec': cos, 'csc': sin, 'cot': tan, 'sech': cosh, 'csch': sinh, 'coth': tanh}
from .other import ( ceil, floor, abs_symbolic, sqrt, arg, real_part, real, frac, factorial, binomial, imag_part, imag, imaginary, conjugate, cases, complex_root_of) from .log import (exp, exp_polar, log, ln, polylog, dilog, lambert_w, harmonic_number)
from .transcendental import (zeta, zetaderiv, zeta_symmetric, hurwitz_zeta, dickman_rho, stieltjes)
from .bessel import (bessel_I, bessel_J, bessel_K, bessel_Y, Bessel, struve_H, struve_L, hankel1, hankel2, spherical_bessel_J, spherical_bessel_Y, spherical_hankel1, spherical_hankel2)
from .special import (spherical_harmonic, elliptic_e, elliptic_f, elliptic_ec, elliptic_eu, elliptic_kc, elliptic_pi, elliptic_j, error_fcn)
from .jacobi import (jacobi, inverse_jacobi, jacobi_nd, jacobi_ns, jacobi_nc, jacobi_dn, jacobi_ds, jacobi_dc, jacobi_sn, jacobi_sd, jacobi_sc, jacobi_cn, jacobi_cd, jacobi_cs, jacobi_am, inverse_jacobi_nd, inverse_jacobi_ns, inverse_jacobi_nc, inverse_jacobi_dn, inverse_jacobi_ds, inverse_jacobi_dc, inverse_jacobi_sn, inverse_jacobi_sd, inverse_jacobi_sc, inverse_jacobi_cn, inverse_jacobi_cd, inverse_jacobi_cs)
from .orthogonal_polys import (chebyshev_T, chebyshev_U, gen_laguerre, gen_legendre_P, gen_legendre_Q, hermite, jacobi_P, laguerre, legendre_P, legendre_Q, ultraspherical, gegenbauer)
from .spike_function import spike_function
from .prime_pi import legendre_phi, partial_sieve_function, prime_pi
from .wigner import (wigner_3j, clebsch_gordan, racah, wigner_6j, wigner_9j, gaunt)
from .generalized import (dirac_delta, heaviside, unit_step, sgn, sign, kronecker_delta)
from .min_max import max_symbolic, min_symbolic
from .airy import airy_ai, airy_ai_prime, airy_bi, airy_bi_prime
from .exp_integral import (exp_integral_e, exp_integral_e1, log_integral, li, Li, log_integral_offset, sin_integral, cos_integral, Si, Ci, sinh_integral, cosh_integral, Shi, Chi, exponential_integral_1, Ei, exp_integral_ei)
from .hypergeometric import hypergeometric, hypergeometric_M, hypergeometric_U
from .gamma import (gamma, psi, beta, log_gamma, gamma_inc, incomplete_gamma, gamma_inc_lower) |