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Toplam kayıt 19, listelenen: 11-19
Truncated Fubini polynomials
(MDPI AG, 2019)
In this paper, we introduce the two-variable truncated Fubini polynomials and numbers and then investigate many relations and formulas for these polynomials and numbers, including summation formulas, recurrence relations, ...
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
(University of Miskolc, 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 ...
The Boole Polynomials Associated with the p-adic Gamma Function
(Publications de l'Institut Mathématique, 2019)
We set some correlations between Boole polynomials and p-adic gamma function in conjunction with p-adic Euler contant. We develop diverse formulas for p-adic gamma function by means of their Mahler expansion and fermionic ...
On Gould-Hopper-based fully degenerate poly-Bernoulli polynomials with a q-parameter
(MDPI AG, 2019)
We firstly consider the fully degenerate Gould-Hopper polynomials with a q parameter and investigate some of their properties including difference rule, inversion formula and addition formula. We then introduce the ...
A Study on Novel Extensions for the p-adic Gamma and p-adic Beta Functions
(Mdpi, 2019)
In this paper, we introduce the (rho, q)-analog of the p-adic factorial function. By utilizing some properties of (rho, q)-numbers, we obtain several new and interesting identities and formulas. We then construct the p-adic ...
Research on Some New Results Arising from Multiple q-Calculus
(University of Nis, 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 ...
A survey on p-adic integrals
(Springer International Publishing, 2019)
The p-adic numbers are a counterintuitive arithmetic system and were firstly introduced circa end of the nineteenth century. In conjunction with the introduction of these numbers, many mathematicians and physicists started ...
A note on q-Fubini polynomials
(Jangjeon Mathematical Society, 2019)
Motivated by the construction of the generating functions of c-Bernoulli polynomials and q-Euler polynomials satisfying with their important results, we define a new g-class of the Fubini polynomials. We give some new ...