Bayley M.A.  Generalized hypergeometric series

Название: 
Generalized hypergeometric series 
Автор: 
Bayley M.A. 
Категория: 
Математика

Тип: 
Книга 
Дата: 
30.12.2008 22:48:17 
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Описание: 
Before the year 1923 the literature dealing with generalized hypergeometric series was somewhat scattered, but in that year Professor G. H. Hardy published his paper "A chapter from Ramanujan's notebook" in which he gave an account and proofs of the results then known, most of which had been rediscovered by Ramanujan. Since then numerous papers have been written on the 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 the ordinary hypergeometric series. In fact the first chapter simply gives the minimum required for the succeeding chapters. Again, all parte of the subject, such as asymptotic expansions, which definitely belong to function theory, have been deliberately ignored.
Although the main part of the work deals with generalized hypergeometric series, there are also short accounts of Heine's basic hypergeometric series and Appell's hypergeometric functions of two variables.
My thanks are due to Professor G. H. Hardy who made valuable suggestions regarding the general plan of the work, and to Professor L. J. Mordell who suggested the desirability of a tract on this subject. 
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