Aksoy, Ümit

Profile Picture
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
Status
Website
ORCID ID
Scopus Author ID
Turkish CoHE Profile ID
Google Scholar ID
WoS Researcher ID

Sustainable Development Goals

SDG data is not available
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Scholarly Output

42

Articles

33

Views / Downloads

236/317

Supervised MSc Theses

2

Supervised PhD Theses

0

WoS Citation Count

790

Scopus Citation Count

866

Patents

0

Projects

0

WoS Citations per Publication

18.81

Scopus Citations per Publication

20.62

Open Access Source

6

Supervised Theses

2

JournalCount
Complex Variables and Elliptic Equations6
Filomat3
Integral Transforms and Special Functions2
Applied and Computational Mathematics2
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas2
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2019 - 201912020 - 20211
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Author: Aksoy, UmitSubject: 30E25

Scholarly Output Search Results

Now showing 1 - 2 of 2
  • Thumbnail Image
    Article
    Citation - WoS: 12
    Citation - Scopus: 15
    Schwarz Problem for Higher-Order Complex Partial Differential Equations in the Upper Half Plane
    (Wiley-v C H verlag Gmbh, 2019) Aksoy, Umit; Begehr, Heinrich; Celebi, A. Okay
    Linear and nonlinear elliptic complex partial differential equations of higher-order are considered under Schwarz conditions in the upper-half plane, Firstly, using the integral representations for the solutions of the inhomogeneous polyanalytic equation with Schvvarz conditions, a class of integral operators is introduced together with some of their properties. Then, these operators are used to transform the problem for linear equations into singular integral equations. In the case of nonlinear equations such a transformation yields a system of integro-differential equations. Existence of the solutions of the relevant boundary value problems for linear and nonlinear equations are discussed via Fredholm theory and fixed point theorems, respectively.
  • Thumbnail Image
    Article
    Citation - WoS: 8
    Citation - Scopus: 9
    Av Bitsadze's Observation on Bianalytic Functions and the Schwarz Problem Revisited
    (Taylor & Francis Ltd, 2021) Aksoy, Umit; Begehr, Heinrich; Celebi, A. Okay
    The extension of the Schwarz representation formula to simply connected domains with harmonic Green function and its polyanalytic generalization is not valid in general. They do hold only for certain domains.