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

Abstract

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