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http://dx.doi.org/10.5831/HMJ.2019.41.4.781

A STUDY OF POLY-BERNOULLI POLYNOMIALS ASSOCIATED WITH HERMITE POLYNOMIALS WITH q-PARAMETER  

Khan, Waseem A. (Department of Mathematics, Faculty of Science, Integral University)
Srivastava, Divesh (Department of Mathematics, Faculty of Science, Integral University)
Publication Information
Honam Mathematical Journal / v.41, no.4, 2019 , pp. 781-798 More about this Journal
Abstract
This paper is designed to introduce a Hermite-based-poly-Bernoulli numbers and polynomials with q-parameter. By making use of their generating functions, we derive several summation formulae, identities and some properties that is connected with the Stirling numbers of the second kind. Furthermore, we derive symmetric identities for Hermite-based-poly-Bernoulli polynomials with q-parameter by using generating functions.
Keywords
Hermite polynomials; Hermite-based-poly-Bernoulli polynomials with q-parameter; Stirling numbers of the second kind; polylogarithm function;
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