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On the von Staudt-Clausen's theorem related to q-Frobenius-Euler numbers 

Araci, Serkan; Acikgoz, Mehmet (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2016-02)
In this paper, we introduce q-Frobenius-Euler numbers and derive some new properties. From those properties, we show that this number is a p-adic integer, and can be expressed by von Staudt-Clausen's theorem. We also get ...
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Multifarious implicit summation formulae of Hermite-based poly-Daehee polynomials 

Khan, Waseem Ahmad; Nisar, Kottakkaran Sooppy; Duran, Ugur; Acikgoz, Mehmet; Araci, Serkan (Natural Sciences Publishing USA, 2018-03-01)
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 ...
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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 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, ...



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Acikgoz, Mehmet (4)
Araci, Serkan (4)Duran, Ugur (2)Bagdasaryan, Armen (1)Esi, Ayhan (1)He, Yuan (1)Khan, Waseem Ahmad (1)Nisar, Kottakkaran Sooppy (1)Subject
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Hermite polynomials (3)(p,q)-Calculus (1)Apostol-Bernoulli polynomials of higher order (1)Apostol-Euler polynomials of higher order (1)Bernoulli polynomials (1)Bernoulli polynomials of higher order (1)Bernstein polynomials (1)Cauchy product (1)Daehee polynomials (1)... View MoreDate Issued2016 (2)2018 (2)Full Text StatusWith Full Text (4)

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