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Generalized Hypergeometric Series 32 32 by G. H. HARDY, is a nonfiction available to read on EtoBox.

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Before the year 1923 the literature dealing with generalizedhypergeometric series was somewhat scattered, but in that yearProfessor G. H. Hardy published his paper ''A chapter from Ra-manujan's note-book" in which he gave an account and proofs ofthe results then known, most of which had been rediscovered byRamanujan. Since then numerous papers have been written onthe subject, and it seems desirable that the mass of special results,obtained by one method or another, should be collected together.This is the primary object of this tract.No attempt has been made to give a complete account of theordinary hypergeometric series. In fact the first chapter simplygives the minimum required for the succeeding chapters. Again,all parts of the subject, such as asymptotic expansions, whichdefinitely belong to function theory, have been deliberatelyignored.Although the main part of the work deals with generalizedhypergeometric series, there are also short accounts of Heine'sbasic hypergeometric series and Appell's hypergeometric func-tions of two variables ..My thanks are due to Professor G.

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Common subject areas: history, science, philosophy, social sciences.

Author
G. H. HARDY,
Published
1935
Language
EN
Category
nonfiction
Subjects
Mathematics, Mathematical Theory, Stem

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