On some geometric properties of normalized Wright functions

Evrim Toklu; Neslihan Karagöz

On some geometric properties of normalized Wright functions

Complex Variables 2020-04-07 v2

Authors: Evrim Toklu , Neslihan Karagöz

Abstract

The main purpose of the present paper is to determine the radii of starlikeness and convexity associated with lemniscate of Bernoulli and the Janowski function, $(1+Az)/(1+Bz)$ for $-1\leq B<A\leq 1,$ of normalized Wright functions. The key tools in the proof of our main results are the infinite product representation of Wright function and properties of real zeros of the Wright function and its derivative.

Keywords

starlike functions

Cite

@article{arxiv.1911.11613,
  title  = {On some geometric properties of normalized Wright functions},
  author = {Evrim Toklu and Neslihan Karagöz},
  journal= {arXiv preprint arXiv:1911.11613},
  year   = {2020}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1911.07901

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