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GEOMETRIC PROPERTIES OF GENERALIZED DINI FUNCTIONS

Deniz, Erhan;Goren, Seyma

  • Received : 2018.05.22
  • Accepted : 2019.01.14
  • Published : 2019.03.25

Abstract

In this paper our aim is to establish some geometric properties (like starlikeness, convexity and close-to-convexity) for the generalized and normalized Dini functions. In order to prove our main results, we use some inequalities for ratio of these functions in normalized form and classical result of Fejer.

Keywords

Bessel functions of the fist kind;convex functions;starlike functions;close-to-convex functions;Dini function

Acknowledgement

Supported by : Kafkas University