(2022). Sums of finite products of Pell polynomials in terms of hypergeometric functions. test, 30(1), 1-20. doi: 10.1186/s42787-022-00137-y
. "Sums of finite products of Pell polynomials in terms of hypergeometric functions". test, 30, 1, 2022, 1-20. doi: 10.1186/s42787-022-00137-y
(2022). 'Sums of finite products of Pell polynomials in terms of hypergeometric functions', test, 30(1), pp. 1-20. doi: 10.1186/s42787-022-00137-y
Sums of finite products of Pell polynomials in terms of hypergeometric functions. test, 2022; 30(1): 1-20. doi: 10.1186/s42787-022-00137-y

Sums of finite products of Pell polynomials in terms of hypergeometric functions

Journal of the Egyptian Mathematical Society
Article 4, Volume 30, Issue 1, 2022, Pages 1-20    PDF (2.69 M)
DOI: 10.1186/s42787-022-00137-y
Abstract
In this work, we study sums of finite products of Pell polynomials and express them
in terms of some special orthogonal polynomials. Furthermore, each of the obtained
expression is represented as linear combinations of classical polynomials involving
hypergeometric functions by means of explicit computations.
Keywords
Pell polynomials; Chebyshev polynomials; Hypergeometric functions; Finite products
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