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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Institutions

HASSAN USMAN KATSINA POLYTECHNIC (NCE), KATSINA, KATSINA STATE 4
Hassan Usman Katsina Polytechnic, Katsina, Katsina State 5
Heritage Polytechnic, Ikot Udota, Akwa Ibom State 46
Hussaini Adamu Federal Polytechnic, Kazaure, Jigawa State 8
Ibrahim Badamasi Babangida University, Lapai, Niger State 24
Igbinedion University, Okada, Benin City, Edo State 2
Ignatius Ajuru University of Education, Port Harcourt, Rivers State 8
Imo State Polytechnic, Umuagwo, Owerri, Imo State 3
Imo State University, Owerri, Imo State 45
Institute of Management and Technology, Enugu, Enugu State 11