Yazar "Açıkgöz, Mehmet" için listeleme
-
On unified gould-hopper based apostol-type polynomials
Khan, Waseem Ahmad; Nisar, Kottakkaran Sooppy; Açıkgöz, Mehmet; Duran, Uğur; Abusufian, Abdallah Hassan (International Scientific Research Publications, 2022)In this paper, we consider unified Gould-Hopper based Apostol-type polynomials and investigate some of their formulas including several implicit summation formulae and some symmetric identities by the series manipulation ... -
On weighted q-Daehee polynomials with their applications
Aracı, Serkan; Duran, Uğur; Açıkgöz, Mehmet (Elsevier, 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
Duran, Uğur; Açıkgöz, Mehmet; Aracı, Serkan (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 ... -
Some (p, q)-analogues of Apostol type numbers and polynomials
Açıkgöz, Mehmet; Aracı, Serkan; Duran, Uğur (University of Tartu Press, 2019)We consider a new class of generating functions of the generalizations of Bernoulli and Euler polynomials in terms of (p, q)-integers. By making use of these generating functions, we derive (p, q)-generalizations of several ... -
A Study on Novel Extensions for the p-adic Gamma and p-adic Beta Functions
Duran, Uğur; Açıkgöz, Mehmet (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 ... -
A Study on Some New Results Arising from (p, q)-Calculus
Duran, Uğur; Açıkgöz, Mehmet; Aracı, Serkan (Institute of Applied Mathematics, 2020)This paper includes some new investigations and results for post quantum calculus, denoted by (p, q)-calculus. A chain rule for (p, q)-derivative is given. Also, a new (p, q)-analogue of the exponential function is introduced ... -
Truncated Fubini polynomials
Duran, Uğur; Açıkgöz, Mehmet (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, ... -
Unified (p, q)-analog of Apostol Type Polynomials of Order alpha
Duran, Uğur; Açıkgöz, Mehmet; Aracı, Serkan (University of Nis, 2018)In this work, we introduce a class of a new generating function for (p, q)-analog of Apostol type polynomials of order a including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order alpha. By making ... -
Unified Degenerate Central Bell Polynomials
Açıkgöz, Mehmet; Duran, Uğur (University of Prishtina, 2020)In this paper, we firstly consider extended degenerate central factorial numbers of the second kind and provide some properties of them. We then introduce unified degenerate central Bell polynomials and numbers and investigate ...