Yazar "Açıkgöz, Mehmet" için Araştırma Çıktıları | Web of Science İndeksli Yayınlar Koleksiyonu listeleme
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Apostol type (P, Q)-Frobenius-euler polynomials and numbers
Duran, Uğur; Açıkgöz, Mehmet (University of Kragujevac, Faculty of Science, 2018)In the present paper, we introduce (p, q)-extension of Apostol type Frobenius-Euler polynomials and numbers and investigate some basic identities and properties for these polynomials and numbers, including addition theorems, ... -
Apostol type (p, q)-Frobenius-Eulerian polynomials and numbers
Khan, Waseem Ahmad; Khan, Idrees A.; Duran, Uğur; Açıkgöz, Mehmet (Springer, 2020)The main purpose of this paper is to introduce Apostol type (p, q)-Frobenius-Eulerian numbers and polynomials and investigate some of their basic identities and properties including addition theorems, difference equations, ... -
Bell-Based Bernoulli Polynomials with Applications
Duran, Uğur; Aracı, Serkan; Açıkgöz, Mehmet (MDPI, 2021)In this paper, we consider Bell-based Stirling polynomials of the second kind and derive some useful relations and properties including some summation formulas related to the Bell polynomials and Stirling numbers of the ... -
The Boole Polynomials Associated with the p-adic Gamma Function
Duran, Uğur; Açıkgöz, Mehmet (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 ... -
Construction of the type 2 poly-Frobenius-Genocchi polynomials with their certain applications
Duran, Uğur; Açıkgöz, Mehmet; Aracı, Serkan (Springer, 2020)Kim and Kim (Russ. J. Math. Phys. 26(1):40-49, 2019) have studied the type 2 poly-Bernoulli polynomials. Inspired by their work, we consider a new class of the Frobenius-Genocchi polynomials, which is called the type 2 ... -
Generalized Apostol Type Polynomials Based on Twin-Basic Numbers
Duran, Uğur; Açıkgöz, Mehmet; Dutta, Hemen (Rgn Publ, 2020)In this work, we consider a class of new generating function for (p, q)-analog of Apostol type polynomials of order alpha including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order alpha. By making ... -
Multifarious correlations for p-adic gamma function and weighted q-Daehee polynomials
Duran, Uğur; Açıkgöz, Mehmet (Maejo University, 2019)Diverse relations and identities for p-adic gamma function and p- adic Euler constant by means of weighted p-adic q-integral on pZ and Mahler expansion of the function are investigated. Then several correlations and formulas ... -
A New Approach to the Poisson Distribution: Degenerate Poisson Distribution
Duran, Uğur; Açıkgöz, Mehmet (University of Prishtina, 2020)The main purpose of this paper is to introduce and investigate degenerate Poisson distribution which is a new extension of the Poisson distribution including the degenerate exponential function. We then provide several ... -
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 Degenerate Truncated Special Polynomials
Duran, Uğur; Açıkgöz, Mehmet (Mdpi, 2020)The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation ... -
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 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 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 ... -
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 ...