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

被引：0
作者：
Asim Patra
Gopal Krishna Panda
机构：
[1] National Institute of Technology,Department of Mathematics
来源：
Journal of the Egyptian Mathematical Society | / 30卷 / 1期
关键词：
Pell polynomials; Chebyshev polynomials; Hypergeometric functions; Finite products;
D O I：
10.1186/s42787-022-00137-y
中图分类号：
学科分类号：
摘要：
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.
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