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Special Functions

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Special Functions

Author

George E. Andrews (Pennsylvania State University)

,

Richard Askey (University Of Wisconsin, Madison)

,

Ranjan Roy (Beloit College, Wisconsin)

Presents an overview of the area of special functions, focusing on the hypergeometric functions and the associated hypergeometric series, such as the gamma and beta functions, Bessel functions, orthogonal polynomials, the Selberg integral and its applications, spherical harmonics, q-series, partitions, and Bailey chains. Particular emphasis is placed on formulas that can be used in computation.
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