Generalized Hypergeometric Function

In mathematics, a generalized hypergeometric series is a power series in which the ratio of successive coefficients is a rational function of the index. When such a series converges, it defines a generalized hypergeometric function, which can then be extended over a wider domain of its argument by analytic continuation. Generalized hypergeometric functions include the ordinary hypergeometric function and the confluent hypergeometric function as special cases, and those in turn have many further special functions as special cases, including elementary functions, Bessel functions, and the classical orthogonal polynomials. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/