SPECIAL FUNCTIONS

Γ(α), Β(x,y) and ψ(α) functions, the error functions erfx, sine and cosine Fresnel integrals. Asymptotic expansions. Bessel functions (1^st kind, 2^nd kind, spherical, modified). Applications of Bessel functions (oscillations of circular membranes, temperature distribution on a solid cylinder, temperature distribution on a solid sphere, diffraction from a conductive cylinder), orthogonal polynomials (Legendre, Chebychev, Jacobi, Laguerre,Hermite). Associated Legendre functions. Hypergeometric functions, confluent hypergeometric functions. Applications of the associated Legendre functions.