Includes bibliographical references and index.

V.2. Expansions of generalized hypergeometric functions series of functions of the same kind -- T-method -- Polynomial and rational approximations to generalized hypergeometric functions -- Recursion formulas for polynomials and functions which occur in infinite series and rational approximations to generalized hypergeometric functions -- Trapezoidal rule integration formulas - Applications. These volumes are designed to provide scientific workers with a self-contained and unified development for many of the mathematical functions which arise in applied problems, as well as the attendant mathematical theory for their approximations. These functions are often called the special functions of mathematical physics or more simply the special functions.