Open Access
August 2008 A product formula for hypergeometric polynomials of type $_2F_0$
Tomoyuki YOSHIDA
Hokkaido Math. J. 37(3): 455-462 (August 2008). DOI: 10.14492/hokmj/1253539530

Abstract

In this paper, we give a combinatorial proof to the following new product formula: \[\Pi_{i=1}^m 2F0(-a_i, -b_i; z) =\Pi_{r=0}^n p(r) 2F0(-n, -r; z).\]

Citation

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Tomoyuki YOSHIDA. "A product formula for hypergeometric polynomials of type $_2F_0$." Hokkaido Math. J. 37 (3) 455 - 462, August 2008. https://doi.org/10.14492/hokmj/1253539530

Information

Published: August 2008
First available in Project Euclid: 21 September 2009

zbMATH: 1178.05012
MathSciNet: MR2441932
Digital Object Identifier: 10.14492/hokmj/1253539530

Subjects:
Primary: 05A15
Secondary: 33C20 , 62H17

Keywords: hypergeometric distribution , hypergeometric polynomial , product formula

Rights: Copyright © 2008 Hokkaido University, Department of Mathematics

Vol.37 • No. 3 • August 2008
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