Browsing by Author "Açıkgöz, Mehmet"
Now showing items 1-20 of 29
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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, ... -
Apostol type (p, q)-Frobenius–Eulerian polynomials and numbers
Khan, Waseem Ahmad; Khan, Idrees A.; Duran, Uğur; Açıkgöz, Mehmet (Springer, 2021)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 ... -
Hermite based poly-bernoulli polynomials with a q-parameter
Duran, Uğur; Açıkgöz, Mehmet; Aracı, Serkan (Jangjeon Mathematical Society, 2018)We introduce the Hermite based poly-Bernoulli 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 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 ... -
Multifarious implicit summation formulae of Hermite-based poly-Daehee 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 Hermite-based poly-Daehee numbers and polynomials. By making use of this generating function, we investigate some new and interesting identities for the Hermite-based ... -
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 q-Fubini polynomials
Duran, Uğur; Aracı, Serkan; Açıkgöz, Mehmet (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 ... -
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 Hermite-based 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 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 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 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 ...
