A Study Of Exton's Triple Hypergeometric Series

ISBN-13: 9783659185137 / Angielski / Miękka / 2012 / 220 str.

Radha Mathur

Opis

Exton has developed 20 triple hypergeometric functions X1 to X20, their Laplace integral representations, reduction and transformation formulas. The present investigation consist of the new results of reducibility, transformations and also integral representations of Euler kind for the Extons function X1 and X20. In this thesis, we have presented some new techniques to obtain reduction and transformation cases with integral representations for Extons functions X1 to X20. These results are useful in the study of multiple hypergeometric series.

O autorze

Dr. Radha Mathur is presently working as Head, Deptt. of Mathematics, Govt. Engineering College Bikaner. She obtained M.Sc., M.Phil.degrees from the Deptt. of Mathematics, University of Rajasthan, Jaipur and Ph.D. from M.G.S.University, Bikaner. Her area of interest includes special functions, integral transforms and fluid dynamics.