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14 papers · 2 filters
Extended Fermionic p-Adic q-Integrals On Zp In Connection With Applications Of Umbral Calculus
Serkan Araci, Mehmet Acikgoz, Erdoğan Şen
The purpose of this paper is to derive some applications of umbral calculus by using extended fermionic p-adic q-integral on Zp. From those applications, we derive some new interes…
A New Approach to Multivariate q-Euler polynomials by using Umbral calculus
Serkan Araci, Xiangxing Kong, Mehmet Acikgoz +1
In this work, we derive numerous identities for multivariate q-Euler polynomials by using umbral calculus.
Some New Identities of Genocchi Numbers and Polynomials involving Bernoulli and Euler polynomials
Serkan Araci, Mehmet Acikgoz, Erdoğan Şen
In this paper, we will deal with some new formulae for two product Genocchi polynomials together with both Euler polynomials and Bernoulli polynomials. We get some applications for…
On the Dirichlet's type of Eulerian polynomials
Serkan Araci, Mehmet Acikgoz, Deyao Gao
In the present paper, we introduce Eulerian polynomials attached to by using p-adic q-integral on Zp . Also, we give new interesting identities via the generating functions of Diri…
On the families of q-Euler numbers and polynomials and their applications
Serkan Araci, Mehmet Acikgoz, Hassan Jolany
In the present paper, we investigate special generalized q-Euler numbers and polynomials. Some earlier results of T. Kim in terms of q-Euler polynomials with weight alpha can be de…
A note on the (h,q)-Zeta type function with weight alpha
E. Cetin, M. Acikgoz, I. N. Cangul +1
The objective of this paper is to derive symmetric property of (h,q)-Zeta function with weight alpha. By using this property, we give some interesting identities for (h,q)-Genocchi…