Axioms (Jan 2023)

On the Strong Starlikeness of the Bernardi Transform

  • Zahra Orouji,
  • Ali Ebadian,
  • Nak Eun Cho

DOI
https://doi.org/10.3390/axioms12010091
Journal volume & issue
Vol. 12, no. 1
p. 91

Abstract

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Many papers concern both the starlikeness and the convexity of Bernardi integral operator. Using the Nunokawa’s Lemma, we want to determine conditions for the strong starlikeness of the Bernardi transform of normalized analytic functions g, such that |arg{g′(z)}| απ2 in the open unit disk Δ where 0α2. Our results include the results of Mocanu, Nunokawa and others on the Libera transform.

Keywords