A new class of generalized polynomials associated with Laguerre and Bernoulli polynomials | Zendy

Nabiullah Khan | Zendy; Talha Usman | Zendy; Junesang Choi | Zendy

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A new class of generalized polynomials associated with Laguerre and Bernoulli polynomials

Author(s) -

Nabiullah Khan,

Talha Usman,

Junesang Choi

Publication year - 2019

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1811-56

Subject(s) - laguerre polynomials , mathematics , classical orthogonal polynomials , discrete orthogonal polynomials , orthogonal polynomials , difference polynomials , variety (cybernetics) , bernoulli polynomials , class (philosophy) , wilson polynomials , algebra over a field , hahn polynomials , laguerre's method , pure mathematics , discrete mathematics , gegenbauer polynomials , computer science , statistics , artificial intelligence

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.

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