Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A NOTE ON THE GENERALIZED BERNOULLI POLYNOMIALS WITH (p, q)-POLYLOGARITHM FUNCTION

  • JUNG, N.S. (College of Talmage Liberal Arts, Hannam University)
  • Received : 2019.11.06
  • Accepted : 2020.01.14
  • Published : 2020.01.30
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Abstract

In this article, we define a generating function of the generalized (p, q)-poly-Bernoulli polynomials with variable a by using the polylogarithm function. From the definition, we derive some properties that is concerned with other numbers and polynomials. Furthermore, we construct a special functions and give some symmetric identities involving the generalized (p, q)-poly-Bernoulli polynomials and power sums of the first integers.

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References

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Cited by

  1. IDENTITIES INVOLVING THE DEGENERATE GENERALIZED (p, q)-POLY-BERNOULLI NUMBERS AND POLYNOMIALS vol.38, pp.5, 2020, https://doi.org/10.14317/jami.2020.601