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Certain Geometric Properties of Lommel and Hyper-Bessel Functions

Author

Listed:
  • Saima Mushtaq

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

  • Mohsan Raza

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

  • Muhey U Din

    (Department of Mathematics, Government Post Graduate Islamia College Faisalabad, Faisalabad 38000, Pakistan)

Abstract

In this article, we are mainly interested in finding the sufficient conditions under which Lommel functions and hyper-Bessel functions are close-to-convex with respect to the certain starlike functions. Strongly starlikeness and convexity of Lommel functions and hyper-Bessel functions are also discussed. Some applications are also the part of our investigation.

Suggested Citation

  • Saima Mushtaq & Mohsan Raza & Muhey U Din, 2019. "Certain Geometric Properties of Lommel and Hyper-Bessel Functions," Mathematics, MDPI, vol. 7(3), pages 1-12, March.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:3:p:240-:d:211633
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