User:Mondain/Books/Special Functions

A Companion to Wang and Kuo's Introduction

 * Series and Expansions
 * Bernoulli polynomials
 * Bernoulli number
 * Euler number
 * Euler–Maclaurin formula
 * Lagrange inversion theorem
 * Mittag-Leffler's theorem
 * Infinite product
 * Weierstrass factorization theorem
 * Asymptotic expansion
 * Watson's lemma
 * Frobenius method


 * Second Order Ordinary Differential Equations
 * Regular singular point
 * Riemann's differential equation
 * Hermitian adjoint
 * Integral transform
 * Cauchy–Euler equation


 * Gamma Function
 * Gamma function
 * Beta function
 * Pochhammer contour
 * Stirling's approximation
 * Riemann zeta function
 * Möbius function


 * Hypergeometric Function
 * Hypergeometric function
 * Barnes integral
 * Jacobi polynomials
 * Chebyshev polynomials
 * Generalized hypergeometric function
 * Appell series


 * Legendre Function
 * Legendre polynomials
 * Associated Legendre polynomials
 * Legendre function
 * Spherical harmonics
 * Gegenbauer polynomials
 * Confluent hypergeometric function
 * Whittaker function
 * Parabolic cylinder function
 * Hermite polynomials
 * Laguerre polynomials
 * Error function
 * Incomplete gamma function
 * Logarithmic integral function
 * Exponential integral


 * Bessel Function
 * Bessel function
 * Poisson kernel
 * Kelvin functions
 * Neumann polynomial
 * Airy function


 * Weierstrass Elliptic Function
 * Elliptic integral
 * Elliptic function
 * Weierstrass's elliptic functions


 * Theta Function
 * Theta function
 * Legendre form
 * Landen's transformation


 * Jacobi's Elliptic Function
 * Jacobi's elliptic functions


 * Lamé Function
 * Lamé function


 * Mathieu Function
 * Mathieu function
 * Hill equation


 * Appendix
 * Cubic function
 * Quartic function
 * Cylindrical coordinate system
 * Spherical coordinate system
 * Elliptic cylindrical coordinates
 * Parabolic cylindrical coordinates
 * Conical coordinates
 * Ellipsoidal coordinates
 * Prolate spheroidal coordinates
 * Oblate spheroidal coordinates
 * Parabolic coordinates
 * Paraboloidal coordinates
 * Bispherical coordinates