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

Rabha W. Ibrahim, Rafida M. Elobaid and Suzan J. Obaiys
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Rabha W. Ibrahim: Informetrics Research Group, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam
Rafida M. Elobaid: Department of General Sciences, Prince Sultan University, Riyadh 12435, Saudi Arabia
Suzan J. Obaiys: School of Mathematical and Computer Sciences, Heriot-Watt University Malaysia, Putrajaya 62200, Malaysia

Mathematics, 2020, vol. 8, issue 7, 1-11

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.

Keywords: Painlevé differential equation; symmetric solution; asymptotic expansion; univalent function; subordination and superordination; analytic function; open unit disk (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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