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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Contents

Chapter I Asymptotic Expansions
1
Chapter II The Gamma Function and Related Functions
8
Chapter III Hypergeometric Functions
38
Chapter IV Confluent Hypergeometric Functions
115
Chapter V The Generalized Hypergeometric Function and the GFunction
136
Chapter VI Identification of the pFq and GFunctions with the Special Functions of Mathematical Physics
209
Chapter VII Asymptotic Expansions of pFq for Large Parameters
235

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