22 citations · 109 across the 25 of their papers we have counts for
25 papers
Canonical metric on a mildly singular Kähler varieties with an intermediate log Kodaira dimension
Hassan Jolany
Existence of canonical metric on a canonical model of projective singular variety was a long standing conjecture and the major part of this conjecture is about varieties which do n…
Generalized Hitchin-Kobayashi correspondence and Weil-Petersson current
Hassan Jolany
In this paper we extend Hitchin-Kobayashi correspondence along holomorphic fibre space and we show that there exists a generalized Hermitian-Einstein metric which is twisted with W…
Generalized Sasaki-Einstein metric twisted with Weil-Petersson metric
Hassan Jolany
Existence of canonical metric on a Sasakian variety was a long standing conjecture and the major part of this conjecture is about varieties which do not have definite basic first C…
An identity for the infinite sum
Hassan Jolany
In this short note, we give an identity for the function where , , in the case .
Canonical metric on moduli spaces of log Calabi-Yau varieties
Hassan Jolany
In this paper, by applying Greene-Shapere-Vafa-Yau semi-flat metric, we give a new proof of closed formula of Weil-Petersson metric on moduli space of Calabi-Yau varieties.
Generalized Kähler-Einstein metric along -Fano fibration
Hassan Jolany
In this paper, we show that along -Fano fibration, when general fibres, base and central fiber (with at worst Kawamata log terminal singularities)are K-poly stable then…
Relative Kähler-Einstein metric on Kähler varieties of positive Kodaira dimension
Hassan Jolany
For projective varieties with definite first Chern class we have one type of canonical metric which is called Kähler-Einstein metric. But for varieties with an intermidiate Kodaira…
On Multi Poly-Bernoulli Polynomials
Roberto B. Corcino, Hassan Jolany, Cristina B. Corcino +1
In this paper, we define multi poly-Bernoulli polynomials using multiple polylogarithm and derive some properties parallel to those of poly-Bernoulli polynomials. Furthermore, an e…
On Generalized Multi Poly-Euler and Multi Poly-Bernoulli Polynomials
Roberto B. Corcino, Hassan Jolany, Cristina B. Corcino +1
In this paper, we establish more identities of generalized multi poly-Euler polynomials with three parameters and obtain a kind of symmetrized generalization of the polynomials. Mo…
A Note On Multi Poly-Euler Numbers And Bernoulli Polynomials
Hassan Jolany, Mohsen Aliabadi, Roberto B. Corcino +1
In this paper we introduce the generalization of Multi Poly-Euler polynomials and we investigate some relationship involving Multi Poly-Euler polynomials. Obtaining a closed formul…
More Properties on Multi Poly-Euler Polynomials
Hassan Jolany, Roberto B. Corcino
In this paper, we establish more properties of generalized poly-Euler polynomials with three parameters and we investigate a kind of symmetrized generalization of poly- Euler polyn…
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…
Ricci flow on Poincare' and Thurston's Geometrization Conjecture
Hassan Jolany
In this thesis we give a review on Ricci flow, an overview on Poincare conjecture, maximum principle, Li-Yau-Perelman estimate, Two functional F and W of Perelman, Reduced volume a…
On The Properties Of -Bernstein-Type Polynomials
Serkan Araci, Mehmet Acikgoz, Hassan Jolany +1
The aim of this paper is to give a new approach to modified -Bernstein polynomials for functions of several variables. By using these polynomials, the recurrence formulas and so…
Explicit formula for generalization of Poly-Bernoulli numbers and polynomials with a,b,c parameters
Hassan Jolany, Roberto B. Corcino
In this paper we investigate special generalized Bernoulli polynomials with a,b,c parameters that generalize classical Bernoulli numbers and polynomials. The present paper deals wi…
A Unified Generating Function of the q-Genocchi Polynomials with their Interpolation Functions
Serkan Araci, Mehmet Açikgöz, Hassan Jolany +1
The purpose of this paper is to construct of the unification q-extension Genocchi polynomials. We give some interesting relations of this type of polynomials. Finally, we derive th…
Perelman's functional and reduced volume
Hassan Jolany
In recent years, there has seen much interest and increased research activities on Perelman's paper. Section one and two of this paper aim to establish Perelman's local non-collaps…