A Generating Function for Certain Coefficients Involving Several Complex Variables
- 1 October 1970
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 67 (2) , 1079-1080
- https://doi.org/10.1073/pnas.67.2.1079
Abstract
In an attempt to unify a number of generating functions for certain classes of generalized hypergeometric polynomials, Lagrange's expansion formula is applied to prove a generating relation for an n-dimensional polynomial with arbitrary coefficients. It is also shown how these coefficients can be specialized to obtain the generalized Lauricella function as a generating function for a class of generalized hypergeometric polynomials of several complex variables.Keywords
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