Contributions to the theory of generalised hypergeometric series

Agarwala, R. P.

(1953)

Agarwala, R. P. (1953) Contributions to the theory of generalised hypergeometric series.

Our Full Text Deposits

Full text access: Open

10097981.pdf - 13.19 MB

Abstract

This thesis deals with various aspects of development in the field of both ordinary and basic hypergeometric functions. It comprises six chapters. The first chapter gives a brief survey of some of the recents developments in this field including the work done in the present thesis. The second chapter gives a systematic study of the transformations connected with the partial sums of generalised hypergeometric series, both ordinary and basic. The main theorem proved in the chapter gives the most general relation of its type. The third chapter is concerned with the development of the transformation theory of bilateral cognate trigonometrical series and generalises all the known results in that field. The fourth chapter gives the integral analogues of some of the transformations of basic series analogous to those for the ordinary series in Chapter VI of Bailey's Cambridge Tract. The fifth chapter deals with a systematic classification and study of two and three term relations between special kinds of well-poised series of the type and gives a new method, by integrals, of deducing these transformations easily. The last and the sixth chapter gives a number of identities involving basic analogues of Appell's hypergeometric functions of two variables and some associated functions.

Information about this Version

This is a Accepted version
This version's date is: 1953
This item is not peer reviewed

Link to this Version

https://repository.royalholloway.ac.uk/items/d5d12b9a-3cd2-4590-9dfe-e01d9c77287c/1/

Item TypeThesis (Doctoral)
TitleContributions to the theory of generalised hypergeometric series
AuthorsAgarwala, R. P.
Uncontrolled KeywordsTheoretical Mathematics; Pure Sciences; Contributions; Generalised; Hypergeometric; Hypergeometric Functions; Hypergeometric Functions; Series; Theory
Departments

Identifiers

ISBN978-1-339-62047-3

Deposited by () on 31-Jan-2017 in Royal Holloway Research Online.Last modified on 31-Jan-2017

Notes

Digitised in partnership with ProQuest, 2015-2016. Institution: University of London, Bedford College (United Kingdom).


Details