New generating functions for multivariate biorthogonal polynomials on the N-sphere. (1995)

• Record Type: Journal Article
• Authors: Exton, Harold
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 8:Number 1(1995)
• Page Start: 85
• Page End: 90
• Publication Date: 1995
• Subjects: generating functions -- biorthogonal polynomials; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953395000086
• Languages: English
• ISSNs: 1048-9533

Abstract

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.