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

Author

Ibrahim, Rabha W., Elobaid, Rafida M., and Obaiys, Suzan J.

Subjects
*PAINLEVE equations, *DIFFERENTIAL equations, *SYMMETRIC domains, *GEOMETRIC function theory, *MATHEMATICAL analysis, *ANALYTIC functions
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 Painlevé 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. [ABSTRACT FROM AUTHOR]

Published
2020
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