Journal of Applied Mathematics and Stochastic Analysis 
Volume 8 (1995), Issue 1, Pages 85-90
doi:10.1155/S1048953395000086

New generating functions for multivariate biorthogonal polynomials on the N-sphere

Harold Exton

“Nyuggel”, Lunabister, Dunrossness, Shetland, ZE2 9JH, United Kingdom

Received 1 July 1994; Revised 1 December 1994

Abstract

Certain multivariate biorthogonal polynomials on the N-sphere arise in connection with quantum chromodynamics. These functions can be expressed in terms of Lauricella functions of the first kind, and multi-dimensional generating functions for them are deduced by means of an extension of Bailey's theorem.