Armenian Journal of Mathematics, 14(12)
2022; 1–20
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Hypergeometric connections between balancing polynomials and Chebyshev polynomials of first and second kinds

Adikanda Behera*, Prasanta Kumar Ray

Received: 2024-12-05 · Published: 2022-09-23

© 2022 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
Hypergeometric connections between balancing polynomials and Chebyshev polynomials of first and second kinds
Authors
Adikanda Behera, Prasanta Kumar Ray
Source journal
Armenian Journal of Mathematics, 14(12)
Published
2022-09-23
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.52737/18291163-2022.14.12-1-20

Abstract

In the present study, we find several connections between balancing polynomials and the Chebyshev polynomials of the first and second kinds. The Chebyshev polynomials of the first and second kinds are expressed as the sum of two terms of balancing polynomials with hypergeometric coefficients. As an inversion, the balancing polynomials are also expressed as the sum of two terms of the Chebyshev polynomials of the first kind and the Chebyshev polynomials of the second kind with hypergeometric coefficients.
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