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 com...

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Bibliographic Details
Published in:Journal of the Egyptian Mathematical Society 2022-01, Vol.30 (1), p.1-20, Article 4
Main Authors: Patra, Asim, Panda, Gopal Krishna
Format: Article
Language:English
Subjects:
Chebyshev polynomials
Finite products
Hypergeometric functions
Mathematics
Mathematics and Statistics
Numbers
Original Research
Pell polynomials
Polynomials
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Summary: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.
ISSN:2090-9128
1110-256X
2090-9128
DOI:10.1186/s42787-022-00137-y