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.
Citation
Harol Exton. "Two new multivariable generating relations." Ark. Mat. 30 (1-2) 245 - 258, 1992. https://doi.org/10.1007/BF02384873
Information