Construction of a new class of symmetric function of binary products of (p, q)-numbers with 2-orthogonal Chebyshev polynomials

In this paper, we give some new generating functions of the products of ( p ,  q )-Fibonacci numbers, ( p ,  q ) -Lucas numbers, ( p ,  q )-Pell numbers, p , q -Pell Lucas numbers, ( p ,  q )-Jacobsthal numbers, and ( p ,  q )-Jacobsthal Lucas numbers with 2-orthogonal Chebyshev polynomials and triv...

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Bibliographic Details
Published in:Boletín de la Sociedad Matemática Mexicana 2021-03, Vol.27 (1), Article 7
Main Authors: Saba, Nabiha, Boussayoud, Ali, Araci, Serkan, Kerada, Mohamed, Acikgoz, Mehmet
Format: Article
Language:English
Subjects:
Chebyshev approximation
Fibonacci numbers
Mathematical analysis
Mathematics
Mathematics and Statistics
Numbers
Original Article
Polynomials
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Summary:In this paper, we give some new generating functions of the products of ( p ,  q )-Fibonacci numbers, ( p ,  q ) -Lucas numbers, ( p ,  q )-Pell numbers, p , q -Pell Lucas numbers, ( p ,  q )-Jacobsthal numbers, and ( p ,  q )-Jacobsthal Lucas numbers with 2-orthogonal Chebyshev polynomials and trivariate Fibonacci polynomials.
ISSN:1405-213X
2296-4495
DOI:10.1007/s40590-021-00316-4