Some Identities on Sums of Finite Products of Chebyshev Polynomials of the Third and Fourth Kinds

Jugal Kishore; Vipin Verma; Ajay Kumar Sharma

doi:10.26713/cma.v14i1.2079

Authors

Jugal Kishore Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University, Phagwara 144411, Punjab, India https://orcid.org/0000-0001-6803-968X (unauthenticated)
Vipin Verma Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University, Phagwara 144411, Punjab, India https://orcid.org/0000-0002-1501-3723 (unauthenticated)
Ajay Kumar Sharma Department of Mathematics, Government Degree College, Udhampur 182101, Jammu & Kashmir, India https://orcid.org/0009-0001-3534-3770 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v14i1.2079

Keywords:

Chebyshev polynomials, Pell polynomials, Fibonacci polynomials, Jacobi polynomials, Gegenbauer polynomials, Vieta-Fibonacci polynomials, Vieta-Pell polynomials

Abstract

In this paper, we will introduce some identities involving sums of the finite products of Chebyshev polynomials of the third and fourth kinds, Fibonacci, and Lucas numbers in terms of the derivatives of Pell, Fibonacci, Jacobi, Gegenbauer, Vieta-Fibonacci, Vieta-Pell, and second-kind Chebyshev polynomials.

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