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On Geometric Properties of Normalized Hyper-Bessel Functions

Author

Listed:
  • Khurshid Ahmad

    (Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan)

  • Saima Mustafa

    (Department of Mathematics, PMAS Arid Agriculture University, Rawalpindi 46000, Pakistan)

  • Muhey U. Din

    (Department of Mathematics, Islamia College Faisalabad, Faisalabad 38000, Pakistan)

  • Shafiq ur Rehman

    (Department of Mathematics, COMSATS University Islamabad, Attock 43600, Pakistan)

  • Mohsan Raza

    (Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan)

  • Muhammad Arif

    (Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan)

Abstract

In this paper, the normalized hyper-Bessel functions are studied. Certain sufficient conditions are determined such that the hyper-Bessel functions are close-to-convex, starlike and convex in the open unit disc. We also study the Hardy spaces of hyper-Bessel functions.

Suggested Citation

  • Khurshid Ahmad & Saima Mustafa & Muhey U. Din & Shafiq ur Rehman & Mohsan Raza & Muhammad Arif, 2019. "On Geometric Properties of Normalized Hyper-Bessel Functions," Mathematics, MDPI, vol. 7(4), pages 1-11, March.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:316-:d:217991
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