Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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IDENTITIES INVOLVING q-ANALOGUE OF MODIFIED TANGENT POLYNOMIALS

  • JUNG, N.S. (College of Talmage Liberal Arts, Hannam University) ;
  • RYOO, C.S. (Department of Mathematics, Hannam University)
  • Received : 2021.05.03
  • Accepted : 2021.08.04
  • Published : 2021.09.30
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Abstract

In this paper, we define a modified q-poly-Bernoulli polynomials of the first type and modified q-poly-tangent polynomials of the first type by using q-polylogarithm function. We derive some identities of the modified polynomials with Gaussian binomial coefficients. We also explore several relations that are connected with the q-analogue of Stirling numbers of the second kind.

Keywords

Acknowledgement

This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. NRF-2019R1G1A1100687).

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