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

다국어 초록 (Multilingual Abstract)

In this paper, by using the polylogarithm function, we intro- duce a generalized poly-Bernoulli numbers and polynomials with variable a. We nd several combinatorial identities and properties of the polynomi- als. We give some properties that is connected with the Stirling numbers of second kind. Symmetric properties can be proved by new congured special functions. We display the zeros of the generalized poly-Bernoulli polynomials with variable a and investigate their structure.

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