Certain applications of q-sigmoid function to neighborhood of analytic functions

Uzoamaka Nwugo EZEAFULUKWE and Uzoamaka Azuka EZEAFULUKWE *

Department of Mathematics, Faculty of Physical Sciences, University of Nigeria, Nsukka, Enugu State, Nigeria.
 
Review Article
World Journal of Advanced Research and Reviews, 2023, 19(02), 1554–1561
Article DOI: 10.30574/wjarr.2023.19.2.1190

 

Publication history: 
Received on 17 July 2023; revised on 26 August 2023; accepted on 29 August 2023
 
Abstract: 
In the present investigation a q-sigmoid function will be introduced to improve some earlier results in geometric function theory. In particular modified q-sigmoid function q-Jack lemma will be applied to certain well defined neighborhood of analytic functions. 
 
Keywords: 
Analytic functions; Sigmoid function; q-Sigmoid functions; Neighborhoods; Jack’s lemma; q-Jack’s lemma.
 
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