Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 12 (2016), 044, 18 pages      arXiv:1511.06057      https://doi.org/10.3842/SIGMA.2016.044
Contribution to the Special Issue on Orthogonal Polynomials, Special Functions and Applications

Polynomial Sequences Associated with the Moments of Hypergeometric Weights

Diego Dominici
Department of Mathematics, State University of New York at New Paltz, 1 Hawk Dr., New Paltz, NY 12561-2443, USA

Received November 23, 2015, in final form April 25, 2016; Published online April 29, 2016

Abstract
We present some families of polynomials related to the moments of weight functions of hypergeometric type. We also consider different types of generating functions, and give several examples.

Key words: moments; hypergeometric functions; generating functions; Stieltjes transform.

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