Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A RESEARCH ON THE GENERALIZED POLY-BERNOULLI POLYNOMIALS WITH VARIABLE a

  • Received : 2018.01.09
  • Accepted : 2018.08.05
  • Published : 2018.09.30
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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.

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References

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  1. A NOTE ON THE GENERALIZED BERNOULLI POLYNOMIALS WITH (p, q)-POLYLOGARITHM FUNCTION vol.38, pp.1, 2020, https://doi.org/10.14317/jami.2020.145
  2. IDENTITIES INVOLVING THE DEGENERATE GENERALIZED (p, q)-POLY-BERNOULLI NUMBERS AND POLYNOMIALS vol.38, pp.5, 2018, https://doi.org/10.14317/jami.2020.601