Certain sufficient conditions for close-to-convexity and starlikeness of multivalent functions

Authors

  • Mohamed K. Aouf Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516
  • Teodor Bulboacă Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca
  • Adela O. Mostafa Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516

DOI:

https://doi.org/10.12697/ACUTM.2019.23.18

Keywords:

analytic functions, multivalent functions, starlike, convex and close-to-convex functions, p-valently starlike functions, Jack–Miller–Mocanu lemma

Abstract

By using Jack's lemma, we derive simple sufficient conditions for analytic functions to be multivalent close-to-convex and multivalent starlike.

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Published

2020-01-14

Issue

Section

Articles