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On Geometric Properties of Bessel–Struve Kernel Functions in Unit Disc

Author

Listed:
  • Najla M. Alarifi

    (Department of Mathematics, Imam Abdulrahman Bin Faisal University, Dammam 31113, Saudi Arabia
    These authors contributed equally to this work.)

  • Saiful R. Mondal

    (Department of Mathematics and Statistics, College of Science, King Faisal University, Al Hasa 31982, Saudi Arabia
    These authors contributed equally to this work.)

Abstract

The Bessel–Struve kernel function defined in the unit disc is used in this study. The Bessel–Struve kernel functions are generalized in this article, and differential equations are derived. We found conditions under which the generalized Bessel–Struve function is Lemniscate convex by using a subordination technique. The relation between the Janowski class and exponential class is also derived.

Suggested Citation

  • Najla M. Alarifi & Saiful R. Mondal, 2022. "On Geometric Properties of Bessel–Struve Kernel Functions in Unit Disc," Mathematics, MDPI, vol. 10(14), pages 1-15, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:14:p:2516-:d:866639
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    References listed on IDEAS

    as
    1. Selinger, V., 1995. "Geometric properties of normalized Bessel functions," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 6(2-3), pages 273-277.
    2. Rosihan M. Ali & V. Ravichandran & N. Seenivasagan, 2007. "Sufficient Conditions for Janowski Starlikeness," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2007, pages 1-7, August.
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    Cited by:

    1. Saiful R. Mondal, 2024. "On the Containment of the Unit Disc Image by Analytical Functions in the Lemniscate and Nephroid Domains," Mathematics, MDPI, vol. 12(18), pages 1-20, September.

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