MATH 385 Special Functions of Applied Mathematics

Gamma and Beta functions. Pochhammer’s symbol. Hypergeometric series. Hypergeomet-ric differential equation; ordinary and con-fluent hypergeometric functions. Generalized hypergeometric functions; the contiguous function relations. Orthogonal polynomials. Bessel function; the functional relationships, Bessel’s differential equation. Orthogonality of Bessel functions.