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ON (q, r, w)-STIRLING NUMBERS OF THE SECOND KIND 

Araci, Serkan; Duran, Ugur; Acikgoz, Mehmet (UNIV PRISHTINES, 2018)
In this paper, we introduce a new generalization of the r-Stirling numbers of the second kind based on the q-numbers via an exponential generating function. We investigate their some properties and derive several relations ...
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Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis 

Araci, Serkan; Bagdasaryan, Armen; Acikgoz, Mehmet; He, Yuan (INT SCIENTIFIC RESEARCH PUBLICATIONS, 2016)
In the present paper, we introduce a method in order to obtain some new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order, which are derived from Bernoulli polynomial basis. Finally, ...
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A novel approach for obtaining new identities for the lambda extension of q- Euler polynomials arising from the q-umbral calculus 

Araci, Serkan; Acikgoz, Mehmet; Diagana, Toka; Srivastava, H. M. (INT SCIENTIFIC RESEARCH PUBLICATIONS, 2017)
In this article, a new q-generalization of the Apostol-Euler polynomials is introduced using the usual q-exponential function. We make use of such a generalization to derive several properties arising from the q-umbral ...
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An analogue of Eulerian polynomials related to L-type function 

Araci, Serkan; Acikgoz, Mehmet; Corcino, Roberto B.; Ozel, Cenap (MAEJO UNIV, 2015-05)
We introduce Dirichlet's type of twisted Eulerian polynomials by using p-adic fermionic q-invairant integral in the p-adic integer ring and obtain some new interesting identities. Using a complex contour integral representation ...
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On an Analogue of Euler Polynomials and Related to Extended Fermionic p-Adic Integrals on Z(p) 

Araci, Serkan; Qi, Feng; Acikgoz, Mehmet (SPRINGER INTERNATIONAL PUBLISHING AG, 2017-09)
In the paper, using the extended fermionic p-adic integral on Z(p), the authors find some applications of the umbral calculus. From these applications, the authors derive some identities on the weighted Euler numbers and ...
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A note on the (p,q)-Hermite polynomials 

Duran, Ugur; Acikgoz, Mehmet; Esi, Ayhan; Araci, Serkan (Natural Sciences Publishing USA, 2018-01-01)
In this paper, we introduce a new generalization of the Hermite polynomials via (p,q)-exponential generating function and investigate several properties and relations for mentioned polynomials including derivative property, ...

On applications of blending generating functions of q-Apostol-type polynomials 

Duran, Ugur; Acikgoz, Mehmet; Araci, Serkan (BULGARIAN ACAD SCIENCE, 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 ...

Generalized Szasz-Kantorovich Type Operators 

Kajla, Arun; Araci, Serkan; Goyal, Meenu; Acikgoz, Mehmet (RGN PUBL, 2019)
In this note, we present Kantorovich modification of the operators introduced by V. Mihesan [Creative Math. Inf. 17 (2008), 466 - 472]. First, we derive some indispensable auxiliary results in the second section. We present ...

Hermite based poly-bernoulli polynomials with a g-parameter 

Duran, Ugur; Acikgoz, Mehmet; Araci, 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 ...
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Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the p-Laplacian operator 

Araci, Serkan; Sen, Erdogan; Acikgoz, Mehmet; Srivastava, H. M. (SPRINGER INTERNATIONAL PUBLISHING AG, 2015-02-11)
In this article, we investigate the existence of a solution arising from the following fractional q-difference boundary value problem by using the p-Laplacian operator: D-q(gamma)(phi(p)(D(q)(delta)y(t))) + f(t,y(t)) = 0 ...
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Acikgoz, Mehmet (44)
Araci, Serkan (44)Duran, Ugur (16)Srivastava, H. M. (7)Sen, Erdogan (4)Esi, Ayhan (3)Khan, Waseem A. (3)Khan, Waseem Ahmad (3)Bagdasaryan, Armen (2)Boussayoud, Ali (2)... View MoreSubjectHermite polynomials (5)Generating function (4)Apostol-Genocchi polynomials (3)Fermionic p-adic q-integral on Z(p) (3)Symmetric identities (3)Apostol-Bernoulli polynomials (2)Bernoulli polynomials (2)Bernstein polynomials (2)Eulerian polynomials (2)Genocchi numbers and polynomials (2)... View MoreDate Issued2018 (13)2016 (8)2015 (7)2019 (7)2017 (4)2020 (3)2014 (2)Has File(s)true (39)false (5)

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