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

Author

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  • Rabha W. Ibrahim

    (Informetrics Research Group, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam
    Faculty of Mathematics & Statistics, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam
    These authors contributed equally to this work.)

  • Rafida M. Elobaid

    (Department of General Sciences, Prince Sultan University, Riyadh 12435, Saudi Arabia
    These authors contributed equally to this work.)

  • Suzan J. Obaiys

    (School of Mathematical and Computer Sciences, Heriot-Watt University Malaysia, Putrajaya 62200, Malaysia
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Rabha W. Ibrahim & Rafida M. Elobaid & Suzan J. Obaiys, 2020. "On the Connection Problem for Painlevé Differential Equation in View of Geometric Function Theory," Mathematics, MDPI, vol. 8(7), pages 1-11, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1198-:d:387733
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    Cited by:

    1. Georgia Irina Oros, 2022. "Geometrical Theory of Analytic Functions," Mathematics, MDPI, vol. 10(18), pages 1-4, September.

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