The Special Functions and Their Approximations

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Yudell L. Luke
Academic Press, 1969 - Mathematics - 348 pages
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A detailed and self-contained and unified treatment of many mathematical functions which arise in applied problems, as well as the attendant mathematical theory for their approximations. many common features of the Bessel functions, Legendre functions, incomplete gamma functions, confluent hypergeometric functions, as well as of otherw, can be derived. Hitherto, many of the material upon which the volumes are based has been available only in papers scattered throughout the literature.

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Chapter I Asymptotic Expansions
Chapter II The Gamma Function and Related Functions
Chapter III Hypergeometric Functions
Chapter IV Confluent Hypergeometric Functions
Chapter V The Generalized Hypergeometric Function and the GFunction
Chapter VI Identification of the pFq and GFunctions with the Special Functions of Mathematical Physics
Chapter VII Asymptotic Expansions of pFq for Large Parameters

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