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http://dx.doi.org/10.14317/jami.2021.643

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)
Publication Information
Journal of applied mathematics & informatics / v.39, no.5_6, 2021 , pp. 643-654 More about this Journal
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
Q-poly-Bernoulli polynomials of the first type; q-poly-tangent polynomials of the first type; q-Stirling numbers of the second kind; Gaussian binomials coefficient; q-polylogarithm function;
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