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

Mohamed K. Aouf; Teodor Bulboacă; Adela O. Mostafa

doi:10.12697/ACUTM.2019.23.18

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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