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http://dx.doi.org/10.14317/jami.2018.475

A RESEARCH ON THE GENERALIZED POLY-BERNOULLI POLYNOMIALS WITH VARIABLE a  

JUNG, Nam-Soon (College of Talmage Liberal Arts, Hannam University)
RYOO, Cheon Seoung (Department of Mathematics, Hannam University)
Publication Information
Journal of applied mathematics & informatics / v.36, no.5_6, 2018 , pp. 475-489 More about this Journal
Abstract
In this paper, by using the polylogarithm function, we introduce a generalized poly-Bernoulli numbers and polynomials with variable a. We find several combinatorial identities and properties of the polynomials. We give some properties that is connected with the Stirling numbers of second kind. Symmetric properties can be proved by new configured special functions. We display the zeros of the generalized poly-Bernoulli polynomials with variable a and investigate their structure.
Keywords
Generalized poly-Bernoulli polynomials with variable a; Stirling numbers of the second kind; polylogarithm function; power sum polynomials; special function;
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Times Cited By KSCI : 2  (Citation Analysis)
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