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Inclusion of the Generalized Bessel Functions in the Janowski Class

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  • Saiful R. Mondal
  • Mohammed Al Dhuain

Abstract

Sufficient conditions on , , , , and are determined that will ensure the generalized Bessel function satisfies the subordination . In particular this gives conditions for , , to be close-to-convex. Also, conditions for to be Janowski convex and to be Janowski starlike in the unit disk are obtained.

Suggested Citation

  • Saiful R. Mondal & Mohammed Al Dhuain, 2016. "Inclusion of the Generalized Bessel Functions in the Janowski Class," International Journal of Analysis, Hindawi, vol. 2016, pages 1-8, October.
    • Handle: RePEc:hin:ijanal:4740819
    DOI: 10.1155/2016/4740819
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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, 2022. "On Lemniscate Starlikeness of the Solution of General Differential Equations," Mathematics, MDPI, vol. 10(18), pages 1-10, September.

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