Hypergeometric connections between balancing polynomials and Chebyshev polynomials of first and second kinds

Armenian Journal of Mathematics

article

Adikanda Behera¹  Prasanta Kumar Ray¹ 

[1] Sambalpur University

关键词: Balancing polynomials;    Chebyshev polynomials of the first kind;    Chebyshev polynomials of the second kind;    Hypergeometric functions;   

DOI  :  10.52737/18291163-2022.14.12-1-20

学科分类：环境科学（综合）

来源: National Academy of Sciences of the Republic of Armenia

【 摘 要 】

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.

【 授权许可】

CC BY