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.
Laguerre polynomials, Hermite polynomials, Bernoulli polynomials, generalized Laguerre-Bernoulli polynomials, summation formulae, symmetric identities
KHAN, NABIULLAH; USMAN, TALHA; and CHOI, JUNESANG
"A new class of generalized polynomials associated with Laguerre and Bernoulli polynomials,"
Turkish Journal of Mathematics: Vol. 43:
1, Article 39.
Available at: https://journals.tubitak.gov.tr/math/vol43/iss1/39