• Title/Summary/Keyword: Gaussian binomials coefficient

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IDENTITIES INVOLVING q-ANALOGUE OF MODIFIED TANGENT POLYNOMIALS

  • JUNG, N.S.;RYOO, C.S.
    • Journal of applied mathematics & informatics
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    • v.39 no.5_6
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    • pp.643-654
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    • 2021
  • 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.

ON FULLY MODIFIED q-POLY-EULER NUMBERS AND POLYNOMIALS

  • C.S. RYOO
    • Journal of Applied and Pure Mathematics
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    • v.6 no.1_2
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    • pp.1-11
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    • 2024
  • In this paper, we define a new fully modified q-poly-Euler numbers and 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.