A new class of generalized polynomials | Zendy

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

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A new class of generalized polynomials

Author(s) -

Nabiullah Khan,

Talha Usman,

Junesang Choi

Publication year - 2018

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-1709-44

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

Motivated by their importance and potential for applications in a variety of research fields, recently, various polynomials and their extensions have been introduced and investigated. In this sequel, we modify the known generating functions of polynomials, due to both Milne-Thomson and Dere and Simsek, to introduce a new class of generalized polynomials and present some of their involved properties. As obvious special cases of the newly introduced polynomials, we also introduce so-called power sum-Laguerre--Hermite polynomials and generalized Laguerre and Euler polynomials and we present some of their involved identities and formulas. The results presented here, being very general, are pointed out to be specialized to yield a number of known and new identities involving relatively simple and familiar polynomials.

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