İSTE Yazarı "Duran, Uğur" Makale Koleksiyonu İçin Listeleme
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On (p, q)-Sine and (p, q)-Cosine Fubini Polynomials
Khan, Waseem Ahmad; Muhiuddin, Ghulam; Duran, Uğur; Al-Kadi, Deena (MDPI, 2022)In recent years, (p, q)-special polynomials, such as (p, q)-Euler, (p, q)-Genocchi, (p, q)-Bernoulli, and (p, q)-Frobenius-Euler, have been studied and investigated by many mathematicians, as well physicists. It is important ... -
On applications for Mahler expansion associated with p-adic q-integrals
Duran, Uğur; Açıkgöz, Mehmet (World Scientific Publishing Co. Pte Ltd, 2019)In this paper, we primarily consider a generalization of the fermionic p-adic q-integral on p including the parameters ? and ? and investigate its some basic properties. By means of the foregoing integral, we introduce two ... -
On applications of blending generating functions of q-Apostol-type polynomials
Duran, Uğur; Açıkgöz, Mehmet; Aracı, Serkan (Bulgarian Academy of Sciences, 2019)Motivated by Kurt's blending generating functions of q-Apostol polynomials [16], we investigate some new identities and relations. We also aim to derive several new connections between these polynomials and generalized ... -
On generalized degenerate Gould-Hopper based fully degenerate Bell polynomials
Duran, Uğur; Açıkgöz, Mehmet (Journal Mathematics & Computer Science, 2020)In this paper, we introduce both the generalized degenerate Gould-Hopper based degenerate Stirling polynomials of the second kind and the generalized degenerate Gould-Hopper based fully degenerate Bell polynomials. We study ... -
On Gould-Hopper-based fully degenerate poly-Bernoulli polynomials with a q-parameter
Duran, Uğur; Sadjang, Patrick Njionou (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 ... -
On Mahler Expansion of p-adic gamma Function Affiliated With the q-boole Polynomials
Duran, Uğur; Açıkgöz, Mehmet (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 p-adic gamma function related to q-Daehee polynomials and numbers
Duran, Uğur; Açıkgöz, Mehmet (Universidad Catolica del Norte, 2019)In this paper, we investigate p-adic q-integral (q-Volkenborn integral) on Zp of p-adic gamma function via their Mahler expansions. We also derived two q-Volkenborn integrals of p-adic gamma function in terms of q-Daehee ... -
On Two Bivariate Kinds of (p,q)-Bernoulli Polynomials
Sadjang, Patrick Njionou; Duran, Uğur (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 ... -
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, 2021)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 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 ... -
Some Identities of the Degenerate Multi-Poly-Bernoulli Polynomials of Complex Variable
Muhiuddin, G.; Khan, Waseem Ahmad; Duran, Uğur; Al-Kadi, Deena S. (Hindawi Limited, 2021)In this paper, we introduce degenerate multi-poly-Bernoulli polynomials and derive some identities of these polynomials. We give some relationship between degenerate multi-poly-Bernoulli polynomials degenerate Whitney ... -
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, ... -
Two-Variable Type 2 Poly-Fubini Polynomials
Muhiuddin, Ghulam; Khan, Waseem Ahmad; Duran, Uğur (MDPI, 2021)In the present work, a new extension of the two-variable Fubini polynomials is introduced by means of the polyexponential function, which is called the two-variable type 2 poly-Fubini polynomials. Then, some useful 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 ...