Now showing items 1-5 of 5
ON MAHLER EXPANSION OF p-ADIC GAMMA FUNCTION AFFILIATED WITH THE q-BOOLE POLYNOMIALS
(Mili Publ, 2019)
In this paper, we investigate several relations for p-adic gamma function by means of their Mahler expansion and fermionic p-adic q-integral on Z(p). We also derive two fermionic p-adic q-integrals of p-adic gamma function ...
ON TWO BIVARIATE KINDS OF (p,q)-BERNOULLI POLYNOMIALS
(Univ Miskolc Inst Math, 2019)
The main aim of this paper is to introduce and investigate (p, q)-extensions of two bivariate kinds of Bernoulli polynomials and numbers. We firstly examine several (p, q)-analogues of the Taylor expansions of products of ...
On weighted q-Daehee polynomials with their applications
(ELSEVIER SCIENCE BV, 2019)
In this paper, we first consider a generalization of Kim's p-adic q-integral on Z(p) including parameters alpha and beta. By using this integral, we introduce the q-Daehee polynomials and numbers with weight (alpha, beta). ...
Research on Some New Results Arising from Multiple q-Calculus
(UNIV NIS, FAC SCI MATH, 2018)
In this paper, we develop the theory of the multiple q-analogue of the Heine's binomial formula, chain rule and Leibniz's rule. We also derive many useful definitions and results involving multiple q-antiderivative and ...
On applications for Mahler expansion associated with p-adic q-integrals
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2019)
In this paper, we primarily consider a generalization of the fermionic p-adic q-integral on Z(p) including the parameters alpha and beta and investigate its some basic properties. By means of the foregoing integral, we ...