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d-Gaussian Pell-Lucas Polynomials and Their Matrix Representations

Turkish Journal of Mathematics and Computer Science, ISSN: 2148-1830, Vol: 14, Issue: 2, Page: 262-270
2022
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Article Description

We define a new generalization of Gaussian Pell-Lucas polynomials. We call it d−Gaussian Pell-Lucas polynomials. Then we present the generating function and Binet formula for the polynomials. We give a matrix representation of d−Gaussian Pell-Lucas polynomials. Using the Riordan method, we obtain the factorizations of Pascal matrix involving the polynomials.

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