Ümit Aksoy

Aksoy, Ümit

Profile URL

https://hdl.handle.net/20.500.14411/6803

Name Variants

U., Aksoy
A., Umit
Ü., Aksoy
Aksoy,U.
Aksoy,Umit
Aksoy, Umit
Umit, Aksoy
U.,Aksoy
Ü.,Aksoy
Ümit Aksoy
A.,Umit
Aksoy U.
Aksoy, Ümit
Aksoy,Ü.
Ümit, Aksoy
A., Ümit
A.,Ümit
Aksoy, U.
Aksoy, Ue.
Aksoy, Ue

Job Title

Profesör Doktor

Email Address

umit.aksoy@atilim.edu.tr

Main Affiliation

Mathematics

Full item page

Sustainable Development Goals

SDG data is not available

This researcher does not have a Scopus ID.

This researcher does not have a WoS ID.

Scholarly Output

42

Articles

33

Views / Downloads

241/336

Supervised MSc Theses

2

Supervised PhD Theses

0

WoS Citation Count

731

Scopus Citation Count

715

Patents

0

Projects

0

WoS Citations per Publication

17.40

Scopus Citations per Publication

17.02

Open Access Source

6

Supervised Theses

2

Journal	Count
Complex Variables and Elliptic Equations	6
Filomat	3
Integral Transforms and Special Functions	2
Applied and Computational Mathematics	2
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas	2

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Current Page: 1 / 5

Scopus Quartile Distribution

Competency Cloud

Scholarly Output Search Results

Now showing 1 - 7 of 7

Citation - WoS: 2
Citation - Scopus: 5
Schwarz problem for higher order linear equations in a polydisc
(Taylor & Francis Ltd, 2017) Aksoy, U.; Celebi, A. O.
In this paper, we discuss the Schwarz boundary value problem for higher order linear complex differential equations in the unit polydisc of C-2. After the relevant preparations, we give the solution for a model equation with homogeneous boundary conditions. Then we obtain the solutions of a linear equation involving Schwarz boundary conditions on the unit polydisc.
Citation - WoS: 7
Citation - Scopus: 9
Norm Estimates of a Class of Calderon-Zygmund Type Strongly Singular Integral Operators
(Taylor & Francis Ltd, 2007) Aksoy, Ue; Celebi, A. O.; Elebi, A.O.
In this article, we prove the L-p boundedness of a class of Calderon - Zygmund type strongly singular operators. In particular, we give an estimate for the L-2 norm of these operators in the unit disc of the complex plane.
Citation - WoS: 14
Citation - Scopus: 19
Neumann problem for generalized n-Poisson equation
(Academic Press inc Elsevier Science, 2009) Aksoy, Ue.; Celebi, A. O.
Using a hierarchy of integral operators having higher-order Neumann functions and their derivatives as kernels, the Neumann problem for a 2nth order linear partial complex differential equation is discussed. The solvability of the problem is obtained. (C) 2009 Elsevier Inc. All rights reserved.
Citation - WoS: 3
Citation - Scopus: 5
Polyharmonic Robin Problem for Complex Linear Partial Differential Equations
(Taylor & Francis Ltd, 2014) Aksoy, U.; Celebi, A. O.
In this article, generalized polyharmonic Robin functions are introduced together with some of their properties. A hierarchy of integral operators with relevant kernel functions are investigated. These operators are used to transform the Robin problem for a 2nth order linear partial complex differential equation with polyharmonic leading term (generalized n-Poisson equation) into a singular integral equation having Fredholm property.
Citation - WoS: 13
Dirichlet Problems for the Generalized n-poisson Equation
(Birkhauser verlag Ag, 2010) Aksoy, U.; Celebi, A. O.
Polyharmonic hybrid Green functions, obtained by convoluting polyharmonic Green and Almansi Green functions, are taken as kernels to define a hierarchy of integral operators. They are used to investigate the solvability of some types of Dirichlet problems for linear complex partial differential equations with leading term as the polyharmonic operator.
Citation - WoS: 6
Citation - Scopus: 9
Dirichlet Problem for a Generalized Inhomogeneous Polyharmonic Equation in an Annular Domain
(Taylor & Francis Ltd, 2012) Aksoy, U.; Celebi, A. O.
In this article, we investigate the solvability of the Dirichlet problems in ring domains for elliptic linear complex partial differential equations having polyharmonic operators as main parts. First, we give higher order Green functions as fundamental solutions of the homogeneous problems using the iteration of harmonic Green functions for ring domains. Second, we introduce some classes of operators related to Dirichlet problems together with their basic properties. Next, we transform the original problems into equivalent singular integral equations. Finally, solvability of the problems is discussed by defining the adjoint problems and using Fredholm alternative.
Citation - WoS: 15
Citation - Scopus: 18
Schwarz problem for higher-order complex elliptic partial differential equations
(Taylor & Francis Ltd, 2008) Aksoy, U.; Celebi, A. O.
In this paper, we investigate the solvability of a higher order elliptic differential equation with the Schwarz conditions on the unit disc of the complex plane.