用超几何函数表示佩尔多项式的有限积和

Patra, Asim, Panda, Gopal Krishna
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引用次数: 0

摘要

本文研究了佩尔多项式的有限积和,并用一些特殊的正交多项式来表示它们。此外,通过显式计算将得到的表达式表示为涉及超几何函数的经典多项式的线性组合。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Sums of finite products of Pell polynomials in terms of hypergeometric functions
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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