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

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

Research output: Contribution to journalArticle

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 languageEnglish
Article number1198
JournalMathematics
Volume8
Issue number7
Early online date21 Jul 2020
DOIs
Publication statusPublished - Jul 2020

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

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