On discrete orthogonal U-Bernoulli Korobov-type polynomials

Year 2024, Volume: 7 Issue: Special Issue: AT&A, 1 - 10, 16.12.2024

Alejandro Urieles , William Ramirez , Clemente Cesarano

https://doi.org/10.33205/cma.1502670

Abstract

The primary objective of this paper is to introduce and examine the new class of discrete orthogonal polynomials called $U$-Bernoulli Korobov-type polynomials. Furthermore, we derive essential recurrence relations and explicit representations for this polynomial class. Most of the results are proven through the utilization of generating function methods. Lastly, we place particular emphasis on investigating the orthogonality relation associated with these polynomials.

Keywords

Bernoulli polynomials, U–Bernoulli Korobov, discrete orthogonal polynomials

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