On the Connection Problem for Painlevé Differential Equation in View of Geometric Function Theory

Rabha W. Ibrahim; Rafida M. Elobaid; Suzan Jabbar Obaiys

doi:10.3390/math8071198

On the Connection Problem for Painlevé Differential Equation in View of Geometric Function Theory

Rabha W. Ibrahim, Rafida M. Elobaid, Suzan Jabbar Obaiys

School of Mathematical & Computer Sciences

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

24 Downloads (Pure)

Abstract

Asymptotic analysis is a branch of mathematical analysis that describes the limiting behavior of the function. This behavior appears when we study the solution of differential equations analytically. The recent work deals with a special class of third type of Painleve differential equation (PV). Our aim is to find asymptotic, symmetric univalent solution of this class in a symmetric domain with respect to the real axis. As a result that the most important problem in the asymptotic expansion is the connections bound (coefficients bound), we introduce a study of this problem.

Original language	English
Article number	1198
Journal	Mathematics
Volume	8
Issue number	7
Early online date	21 Jul 2020
DOIs	https://doi.org/10.3390/math8071198
Publication status	Published - Jul 2020

Keywords

Analytic function
Asymptotic expansion
Open unit disk
Painlevé differential equation
Subordination and superordination
Symmetric solution
Univalent function

ASJC Scopus subject areas

General Mathematics

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title = "On the Connection Problem for Painlev{\'e} Differential Equation in View of Geometric Function Theory",

abstract = "Asymptotic analysis is a branch of mathematical analysis that describes the limiting behavior of the function. This behavior appears when we study the solution of differential equations analytically. The recent work deals with a special class of third type of Painleve differential equation (PV). Our aim is to find asymptotic, symmetric univalent solution of this class in a symmetric domain with respect to the real axis. As a result that the most important problem in the asymptotic expansion is the connections bound (coefficients bound), we introduce a study of this problem.",

keywords = "Analytic function, Asymptotic expansion, Open unit disk, Painlev{\'e} differential equation, Subordination and superordination, Symmetric solution, Univalent function",

author = "Ibrahim, {Rabha W.} and Elobaid, {Rafida M.} and Obaiys, {Suzan Jabbar}",

year = "2020",

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T1 - On the Connection Problem for Painlevé Differential Equation in View of Geometric Function Theory

AU - Ibrahim, Rabha W.

AU - Elobaid, Rafida M.

AU - Obaiys, Suzan Jabbar

PY - 2020/7

Y1 - 2020/7

N2 - Asymptotic analysis is a branch of mathematical analysis that describes the limiting behavior of the function. This behavior appears when we study the solution of differential equations analytically. The recent work deals with a special class of third type of Painleve differential equation (PV). Our aim is to find asymptotic, symmetric univalent solution of this class in a symmetric domain with respect to the real axis. As a result that the most important problem in the asymptotic expansion is the connections bound (coefficients bound), we introduce a study of this problem.

AB - Asymptotic analysis is a branch of mathematical analysis that describes the limiting behavior of the function. This behavior appears when we study the solution of differential equations analytically. The recent work deals with a special class of third type of Painleve differential equation (PV). Our aim is to find asymptotic, symmetric univalent solution of this class in a symmetric domain with respect to the real axis. As a result that the most important problem in the asymptotic expansion is the connections bound (coefficients bound), we introduce a study of this problem.

KW - Analytic function

KW - Asymptotic expansion

KW - Open unit disk

KW - Painlevé differential equation

KW - Subordination and superordination

KW - Symmetric solution

KW - Univalent function

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U2 - 10.3390/math8071198

DO - 10.3390/math8071198

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SN - 2227-7390

VL - 8

JO - Mathematics

JF - Mathematics

IS - 7

M1 - 1198

ER -

On the Connection Problem for Painlevé Differential Equation in View of Geometric Function Theory

Abstract

Keywords

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