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mZmZmZmZmZmZmZmZmZmZmZmZmZ ddlmZmZmZmZmZmZmZm Z  ddl!m"Z"m#Z#m$Z$m%Z%m&Z&m'Z'm(Z(m)Z)m*Z*m+Z+m,Z,m-Z-m.Z.m/Z/ ddl0m1Z1m2Z2m3Z3m4Z4m5Z5m6Z6m7Z7m8Z8m9Z9m:Z:m;Z;m<Z<m=Z=m>Z> ddl?m@Z@mAZAmBZBmCZC ddlDmEZEmFZFmGZGmHZHmIZImJZJmKZKmLZLmMZMmNZNmOZOmPZP dd	lQmRZRmSZSmTZT dd
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Combinatorial - factorial, fibonacci, harmonic, bernoulli...
Elementary - hyperbolic, trigonometric, exponential, floor and ceiling, sqrt...
Special - gamma, zeta,spherical harmonics...
    )	factorial
factorial2rfffbinomialRisingFactorialFallingFactorialsubfactorial)
carmichael	fibonaccilucas
tribonacciharmonic	bernoullibelleulercatalangenocchiandre	partitionmotzkin)sqrtrootMinMaxId	real_rootcbrtRem)reimsignAbs	conjugatearg
polar_liftperiodic_argumentunbranched_argumentprincipal_branch	transposeadjointpolarify
unpolarify)sincostanseccsccotsincasinacosatanasecacscacotatan2)	exp_polarexplogLambertW)sinhcoshtanhcothsechcschasinhacoshatanhacothasechacsch)floorceilingfrac)	Piecewisepiecewise_foldpiecewise_exclusive)erferfcerfierf2erfinverfcinverf2invEiexpintE1liLiSiCiShiChifresnelsfresnelc)gamma
lowergamma
uppergamma	polygammaloggammadigammatrigamma
multigamma)dirichlet_etazetalerchphipolylog	stieltjes
riemann_xi)Eijk
LeviCivitaKroneckerDelta)SingularityFunction)
DiracDelta	Heaviside)bspline_basisbspline_basis_setinterpolating_spline)besseljbesselybesselibesselkhankel1hankel2jnynjn_zeroshn1hn2airyaiairybiairyaiprimeairybiprimemarcumq)hypermeijergappellf1)legendreassoc_legendrehermitehermite_prob
chebyshevt
chebyshevuchebyshevu_rootchebyshevt_rootlaguerreassoc_laguerre
gegenbauerjacobijacobi_normalized)YnmYnm_cZnm)
elliptic_k
elliptic_f
elliptic_eelliptic_pi)betabetaincbetainc_regularized)mathieusmathieucmathieusprimemathieucprimer   r   r   r   r   r   r   r	   r
   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r    r!   r"   r#   r$   r%   r&   r'   r(   r)   r*   r+   r,   r-   r.   r/   r0   r1   r2   r3   r4   r5   r6   r7   r8   r9   r:   r;   r<   lnr=   r>   r?   r@   rA   rB   rC   rD   rE   rF   rG   rH   rI   rJ   rK   rL   rM   rN   rO   rP   rQ   rR   rS   rT   rU   rV   rW   rX   rY   rZ   r[   r\   r]   r^   r_   r`   ra   rb   rc   rd   re   rf   rg   rh   ri   rj   rk   rl   rm   rn   ro   rp   rq   rr   rs   rt   ru   rv   rw   rx   ry   rz   r{   r|   r}   r~   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   N)__doc__Z(sympy.functions.combinatorial.factorialsr   r   r   r   r   r   r   r	   Z%sympy.functions.combinatorial.numbersr
   r   r   r   r   r   r   r   r   r   r   r   r   Z(sympy.functions.elementary.miscellaneousr   r   r   r   r   r   r   r   Z$sympy.functions.elementary.complexesr   r    r!   r"   r#   r$   r%   r&   r'   r(   r)   r*   r+   r,   Z(sympy.functions.elementary.trigonometricr-   r.   r/   r0   r1   r2   r3   r4   r5   r6   r7   r8   r9   r:   Z&sympy.functions.elementary.exponentialr;   r<   r=   r>   Z%sympy.functions.elementary.hyperbolicr?   r@   rA   rB   rC   rD   rE   rF   rG   rH   rI   rJ   Z#sympy.functions.elementary.integersrK   rL   rM   Z$sympy.functions.elementary.piecewiserN   rO   rP   Z'sympy.functions.special.error_functionsrQ   rR   rS   rT   rU   rV   rW   rX   rY   rZ   r[   r\   r]   r^   r_   r`   ra   rb   Z'sympy.functions.special.gamma_functionsrc   rd   re   rf   rg   rh   ri   rj   Z&sympy.functions.special.zeta_functionsrk   rl   rm   rn   ro   rp   Z(sympy.functions.special.tensor_functionsrq   rr   rs   Z-sympy.functions.special.singularity_functionsrt   Z'sympy.functions.special.delta_functionsru   rv   Z sympy.functions.special.bsplinesrw   rx   ry   Zsympy.functions.special.besselrz   r{   r|   r}   r~   r   r   r   r   r   r   r   r   r   r   r   Zsympy.functions.special.hyperr   r   r   Z#sympy.functions.special.polynomialsr   r   r   r   r   r   r   r   r   r   r   r   r   Z+sympy.functions.special.spherical_harmonicsr   r   r   Z*sympy.functions.special.elliptic_integralsr   r   r   r   Z&sympy.functions.special.beta_functionsr   r   r   Z)sympy.functions.special.mathieu_functionsr   r   r   r   r   __all__ r   r   W/var/www/html/Darija-Ai-API/env/lib/python3.8/site-packages/sympy/functions/__init__.py<module>   s  (<(@@8P( H<                                                                                                                                   