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Turkish Journal of Mathematics

DOI

10.3906/mat-1811-56

Abstract

Motivated by their importance and potential for applications in certain problems in number theory, combinatorics, classical and numerical analysis, and other fields of applied mathematics, a variety of polynomials and numbers with their variants and extensions have recently been introduced and investigated. In this paper, we aim to introduce generalized Laguerre-Bernoulli polynomials and investigate some of their properties such as explicit summation formulas, addition formulas, implicit formulas, and symmetry identities. Relevant connections of the results presented here with those relatively simple numbers and polynomials are considered.

Keywords

Laguerre polynomials, Hermite polynomials, Bernoulli polynomials, generalized Laguerre-Bernoulli polynomials, summation formulae, symmetric identities

First Page

486

Last Page

497

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Mathematics Commons

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