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A STUDY OF POLY-BERNOULLI POLYNOMIALS ASSOCIATED WITH HERMITE POLYNOMIALS WITH q-PARAMETER
( Waseem A Khan ) , ( Divesh Srivastava )
UCI I410-ECN-0102-2021-400-000548992

This paper is designed to introduce a Hermite-based­poly- 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.

1. Introduction
2. Hermite-based-poly-Bernoulli polynomials with q-param-eter
3. Summation formulae for Hermite poly-Bernoulli polyno-mials with q-parameter
4. Relation with Stirling numbers of the second kind
5. General symmetric identities
6. Concluding Remark
7. AcknowledgementReferences
[자료제공 : 네이버학술정보]
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