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http://dx.doi.org/10.14317/jami.2017.611

A NOTE ON q-ANALOGUE OF POLY-BERNOULLI NUMBERS AND POLYNOMIALS  

Hwang, Kyung Won (Department of Mathematics, Dong-A University)
Nam, Bo Ryeong (Department of Mathematics, Hannam University)
Jung, Nam-Soon (College of Talmage Liberal Arts, Hannam University)
Publication Information
Journal of applied mathematics & informatics / v.35, no.5_6, 2017 , pp. 611-621 More about this Journal
Abstract
In this paper, we define a q-analogue of the poly-Bernoulli numbers and polynomials which is generalization of the poly Bernoulli numbers and polynomials including q-polylogarithm function. We also give the relations between generalized poly-Bernoulli polynomials. We derive some relations that are connected with the Stirling numbers of second kind. By using special functions, we investigate some symmetric identities involving q-poly-Bernoulli polynomials.
Keywords
poly-Bernoulli polynomials; q-analogue of poly-Bernoulli polynomials; Stirling numbers of the second kind; q-polylogarithm function;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
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