Multiple-Poly-Bernoulli Polynomials of the Second Kind Associated with Hermite Polynomials | Zendy

Waseem Ahmad Khan | Zendy; Mohd Ghayasuddin | Zendy; Mohd Shadab | Zendy

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Multiple-Poly-Bernoulli Polynomials of the Second Kind Associated with Hermite Polynomials

Author(s) -

Waseem Ahmad Khan,

Mohd Ghayasuddin,

Mohd Shadab

Publication year - 2017

Publication title -

fasciculi mathematici

Language(s) - English

Resource type - Journals

ISSN - 0044-4413

DOI - 10.1515/fascmath-2017-0007

Subject(s) - hermite polynomials , mathematics , generalization , classical orthogonal polynomials , discrete orthogonal polynomials , orthogonal polynomials , wilson polynomials , pure mathematics , difference polynomials , class (philosophy) , bernoulli polynomials , hahn polynomials , symmetry (geometry) , algebra over a field , gegenbauer polynomials , mathematical analysis , computer science , geometry , artificial intelligence

In this paper, we introduce a new class of Hermite multiple-poly-Bernoulli numbers and polynomials of the second kind and investigate some properties for these polynomials. We derive some implicit summation formulae and general symmetry identities by using different analytical means and applying generating functions. The results derived here are a generalization of some known summation formulae earlier studied by Pathan and Khan.

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