Integral operators preserving subordination and superordination for multivalent functions

M. K. Aouf; T.  Bulboacă; T.  Seoudy

doi:10.37863/umzh.v73i6.437

M. K. Aouf Department of Mathematics, Faculty of Science, Mansoura Univ., Egypt https://orcid.org/0000-0001-6427-6960
T. Bulboacă Babe¸s-Bolyai Univ., Cluj-Napoca, Romania https://orcid.org/0000-0001-8026-218X
T. Seoudy Dep. Math., Fayoum Univ., Egypt and Jamoum Univ. College, Umm Al-Qura Univ., Makkah, Saudi Arabia https://orcid.org/0000-0001-6427-6960

DOI: https://doi.org/10.37863/umzh.v73i6.437

Keywords: Analytic function, convex function, differential subordination and superordination, subordination chain, integral operator

Abstract

UDC 517.9

We obtain subordination, superordination and sandwich-preserving new theorems for certain integral operators defined on multivalent functions. The sandwich-type theorem for these integral operators is also derived and our results extend some earlier ones. Combining these new theorems with some previous related results, we give interesting subordination and superordination consequences for a wide class of analytic integral operators.

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