Browsing by Author "Açıkgöz, Mehmet"
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Apostol type (P, Q)Frobeniuseuler 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 FrobeniusEuler polynomials and numbers and investigate some basic identities and properties for these polynomials and numbers, including addition theorems, ... 
The Boole Polynomials Associated with the padic Gamma Function
Duran, Uğur; Açıkgöz, Mehmet (Publications de l'Institut Mathématique, 2019)We set some correlations between Boole polynomials and padic gamma function in conjunction with padic Euler contant. We develop diverse formulas for padic gamma function by means of their Mahler expansion and fermionic ... 
Generalized Apostol Type Polynomials Based on TwinBasic 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 ApostolBernoulli, ApostolEuler and ApostolGenocchi polynomials of order alpha. By making ... 
Hermite based polybernoulli polynomials with a qparameter
Duran, Uğur; Açıkgöz, Mehmet; Aracı, Serkan (Jangjeon Mathematical Society, 2018)We introduce the Hermite based polyBernoulli polynomials with a q parameter and give some of their basic properties including not only addition property, but also derivative properties and integral representations. We ... 
Multifarious correlations for padic gamma function and weighted qDaehee polynomials
Duran, Uğur; Açıkgöz, Mehmet (Maejo University, 2019)Diverse relations and identities for padic gamma function and p adic Euler constant by means of weighted padic qintegral on pZ and Mahler expansion of the function are investigated. Then several correlations and formulas ... 
Multifarious implicit summation formulae of Hermitebased polyDaehee polynomials
Khan, Waseem Ahmad; Nisar, Kottakkaran Sooppy; Duran, Uğur; Açıkgöz, Mehmet; Aracı, Serkan (Natural Sciences Publishing USA, 2018)In this paper, we introduce the generating function of Hermitebased polyDaehee numbers and polynomials. By making use of this generating function, we investigate some new and interesting identities for the Hermitebased ... 
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 ... 
A note on qFubini polynomials
Duran, Uğur; Aracı, Serkan; Açıkgöz, Mehmet (Jangjeon Mathematical Society, 2019)Motivated by the construction of the generating functions of cBernoulli polynomials and qEuler polynomials satisfying with their important results, we define a new gclass of the Fubini polynomials. We give some new ... 
A novel kind of hermite based frobenius type Eulerian polynomials
Khan, Waseem Ahmad; Nisar, Kottakkaran Sooppy; Açıkgöz, Mehmet; Duran, Uğur (Jangjeon Research Institute for Mathematical Sciences and Physics, 2019)We introduce a new kind of extended Hermitebased Frobenius type Eulerian polynomials and then derive diverse explicit and implicit summation equations including some symmetric formulas by utilizing series manupulation ... 
On applications for Mahler expansion associated with padic qintegrals
Duran, Uğur; Açıkgöz, Mehmet (World Scientific Publishing Co. Pte Ltd, 2019)In this paper, we primarily consider a generalization of the fermionic padic qintegral 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 qApostoltype polynomials
Duran, Uğur; Açıkgöz, Mehmet; Aracı, Serkan (Bulgarian Academy of Sciences, 2019)Motivated by Kurt's blending generating functions of qApostol 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 GouldHopper based fully degenerate Bell polynomials
Duran, Uğur; Açıkgöz, Mehmet (Journal Mathematics & Computer Science, 2020)In this paper, we introduce both the generalized degenerate GouldHopper based degenerate Stirling polynomials of the second kind and the generalized degenerate GouldHopper based fully degenerate Bell polynomials. We study ... 
On Mahler Expansion of padic gamma Function Affiliated With the qboole Polynomials
Duran, Uğur; Açıkgöz, Mehmet (Mili Publ, 2019)In this paper, we investigate several relations for padic gamma function by means of their Mahler expansion and fermionic padic qintegral on Z(p). We also derive two fermionic padic qintegrals of padic gamma function ... 
On padic gamma function related to qDaehee polynomials and numbers
Duran, Uğur; Açıkgöz, Mehmet (Universidad Catolica del Norte, 2019)In this paper, we investigate padic qintegral (qVolkenborn integral) on Zp of padic gamma function via their Mahler expansions. We also derived two qVolkenborn integrals of padic gamma function in terms of qDaehee ... 
On weighted qDaehee polynomials with their applications
Aracı, Serkan; Duran, Uğur; Açıkgöz, Mehmet (Elsevier, 2019)In this paper, we first consider a generalization of Kim's padic qintegral on Z(p) including parameters alpha and beta. By using this integral, we introduce the qDaehee polynomials and numbers with weight (alpha, beta). ... 
Research on Some New Results Arising from Multiple qCalculus
Duran, Uğur; Açıkgöz, Mehmet; Aracı, Serkan (University of Nis, 2018)In this paper, we develop the theory of the multiple qanalogue of the Heine's binomial formula, chain rule and Leibniz's rule. We also derive many useful definitions and results involving multiple qantiderivative 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 padic Gamma and padic Beta Functions
Duran, Uğur; Açıkgöz, Mehmet (Mdpi, 2019)In this paper, we introduce the (rho, q)analog of the padic factorial function. By utilizing some properties of (rho, q)numbers, we obtain several new and interesting identities and formulas. We then construct the padic ... 
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 ...