Two new multivariable generating relations |
| |
Authors: | Harol Exton |
| |
Affiliation: | (1) “Nyuggel” Lunabister, Dunrossness, ZE2 9JH Shetland, UK |
| |
Abstract: | A multidimensional extension of Bailey's transform is utilised to deduce two new generating relations of quite a general character. These expressions are then specialised to give more practical formulae in terms of Karlsson's generalised Kampé de Fériet functions which embody very many generating relations. A number of interesting special cases are given in an appendix which includes results involving Lauricella polynomials, generalised hypergeometric polynomials and the polynomials of Meixner, Charlier and Laguerre. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|