On a Property of Infinite Sequence of Univalent Functions

Student: Azeez Olaniyi Adebayo (Project, 2025)
Department of Mathematics
University of Ilorin, Kwara State

Abstract

In this work a property of infinite sequence of univalent functions is established. In particular, it is established that if {fn(z)} is an infinite sequence of univalent functions converging to a function f(z) on a domain D.
Then f(z) is either a constant or a univalent function in D.

Keywords

property infinite sequence univalent functions

For the full publication, please contact the author directly at: adebayorolaniyi57@gmail.com

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UMA UKPAI SCHOOL OF THEOLOGY, UYO, AKWA IBOM STATE (AFFL TO UNIVERSITY OF UYO) 1
Umaru Ali Shinkafi Polytechnic, Sokoto, Sokoto State 24
Umaru Musa Yaradua University, Katsina, Katsina State 28
Umca, Ilorin (Affiliated To University of Ibadan), Kwara State 1
University of Abuja, Abuja, Fct 116
University of Africa, Toru-Orua, Bayelsa State 4
University of Benin, Benin City, Edo State 362
University of Calabar Teaching Hospital School of Health Information Mgt. 1
University of Calabar, Calabar, Cross River State 240
University of Ibadan, Ibadan, Oyo State 14