22 citations · 109 across the 25 of their papers we have counts for
8 papers · 1 filter
Generalizations of Poly-Bernoulli numbers and polynomials
Hassan Jolany, M. R. Darafsheh, R. Eizadi Alikelaye
The Concepts of poly-Bernoulli numbers , poly-Bernoulli polynomials and the generalized poly-bernoulli numbers are generalized to $B_{n…
The hyper Wiener index of one pentagonal carbon nanocone
M. H. Khalifeh, M. R. Darafsheh, Hassan Jolany
The aim of this paper is the computing one of topological indices of One-pentagonal carbon Nanocone. One-pentagonal carbon nanocone consists of one pentagone as its core surrounded…
Calabi Conjecture
Hassan Jolany
This memoire consists of two main results. In the first one we describe Ricci flow theory and we give an educative way for proving Elliptization Conjecture and then we prove Poinca…
Identities involving q-Genocchi numbers and polynomials
Serkan Araci, Mehmet Acikgoz, Hassan Jolany +1
In this paper, we focus on the q-Genocchi numbers and polynomials. We shall introduce new identities of the q-Genocchi numbers and polynomials by using the fermionic p-adic integra…
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 modified q-Genocchi numbers and polynomials with weight (α,β) and their interpolation function at negative integers
Serkan Araci, Mehmet Açikgöz, Feng Qi +1
The purpose of this paper concerns to establish modified q-Genocchi numbers and polynomials with weight (α,β). In this paper we investigate special generalized q-Genocchi polynomia…
p-adic interpolating function associated with modified Dirichlet's type of twisted q-euler numbers and polynomials with weight alpha
Serkan Araci, Mehmet Acikgoz, Hassan Jolany
The q-calculus theory is a novel theory that is based on finite difference re-scaling. The rapid development of q-calculus has led to the discovery of new generalizations of q-Eule…
A unification of the multiple twisted Euler and Genocchi numbers and polynomials associated with p adic q integral on Zp at q=-1
Serkan Araci, Mehmet Acikgoz, Kyoung Ho Park +1
The present paper deals with unification of the multiple twisted Euler and Genocchi numbers and polynomials associated with p-adic q-integral on Zp at q = 1. Some earlier results o…