# A. Okay Celebi

## Yeditepe Üniversitesi

H-index: 13

Asia-Turkey

## About A. Okay Celebi

A. Okay Celebi, With an exceptional h-index of 13 and a recent h-index of 8 (since 2020), a distinguished researcher at Yeditepe Üniversitesi, specializes in the field of Real or Complex partial differential equations.

His recent articles reflect a diverse array of research interests and contributions to the field:

Dirichlet-type problems for n-Poisson equation in Clifford analysis

Schwarz problem in a ring domain

A Note on the Schwarz Problem in a Ring Domain

Dirichlet problem for inhomogeneous biharmonic equation in Clifford analysis

AV Bitsadze's observation on bianalytic functions and the Schwarz problem revisited

### A. Okay Celebi Information

University | Yeditepe Üniversitesi |
---|---|

Position | Professor of Mathematics |

Citations(all) | 738 |

Citations(since 2020) | 224 |

Cited By | 587 |

hIndex(all) | 13 |

hIndex(since 2020) | 8 |

i10Index(all) | 17 |

i10Index(since 2020) | 6 |

University Profile Page | Yeditepe Üniversitesi |

#### A. Okay Celebi Skills & Research Interests

Real or Complex partial differential equations

## Top articles of A. Okay Celebi

### Dirichlet-type problems for n-Poisson equation in Clifford analysis

Authors

Ümit Aksoy,A Okay Çelebi

Journal

Applicable Analysis

Published Date

2022/7/24

Iterated Dirichlet problem, also called as Riquier or Navier problem, and polyharmonic Dirichlet problem are studied for n-Poisson equation in Clifford analysis using iterated polyharmonic Green function and polyharmonic Green-Almansi type function appropriate for the boundary conditions of the problems.

### Schwarz problem in a ring domain

Authors

A Okay Çelebi,Pelin Ayşe Gökgöz

Journal

Applicable Analysis

Published Date

2022/7/24

In this article, we discuss the solutions of Schwarz problem in a ring domain. Firstly we introduce the solutions of inhomogeneous Cauchy-Riemann equation. Afterwards we extend the discussions to higher-order equations. The relevant solvability conditions are obtained. The last part is reserved for the solutions of higher-order linear equations in .

### A Note on the Schwarz Problem in a Ring Domain

Authors

A Okay Çelebi,Pelin Ayşe Gökgöz

Published Date

2021/10/18

In this presentation we discuss the Schwarz problem in a ring domain. After the preliminaries we have taken the inhomogeneous Cauchy–Riemann equation with revised boundary conditions. In the next section we give the unique solution of the Schwarz problem for generalized Beltrami equation in a ring domain using Fredholm alternative.

### Dirichlet problem for inhomogeneous biharmonic equation in Clifford analysis

Authors

Ümit Aksoy,A Okay Çelebi

Published Date

2021/10/18

An integral representation formula in terms of the bi-Laplacian operator is obtained and Dirichlet problem for the bi-Poisson equation is solved in Clifford analysis.

### AV Bitsadze's observation on bianalytic functions and the Schwarz problem revisited

Authors

Ümit Aksoy,Heinrich Begehr,A Okay Çelebi

Journal

Complex Variables and Elliptic Equations

Published Date

2021/4/3

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.

## A. Okay Celebi FAQs

### What is A. Okay Celebi's h-index at Yeditepe Üniversitesi?

The h-index of A. Okay Celebi has been 8 since 2020 and 13 in total.

### What are A. Okay Celebi's top articles?

The articles with the titles of

Dirichlet-type problems for n-Poisson equation in Clifford analysis

Schwarz problem in a ring domain

A Note on the Schwarz Problem in a Ring Domain

Dirichlet problem for inhomogeneous biharmonic equation in Clifford analysis

AV Bitsadze's observation on bianalytic functions and the Schwarz problem revisited

are the top articles of A. Okay Celebi at Yeditepe Üniversitesi.

### What are A. Okay Celebi's research interests?

The research interests of A. Okay Celebi are: Real or Complex partial differential equations

### What is A. Okay Celebi's total number of citations?

A. Okay Celebi has 738 citations in total.

### What are the co-authors of A. Okay Celebi?

The co-authors of A. Okay Celebi are Elgiz Bairamov, Aydin Tiryaki, Ömer Akın, Ümit Aksoy.