Some analytic properties of Janowski q-class functions

Uzoamaka Azuka Ezeafulukwe *

Mathematics Department, Faculty of Physical Sciences, University of Nigeria, Nsukka, Nigeria.
 
Research Article
World Journal of Advanced Research and Reviews, 2022, 13(02), 523–535
Article DOI: 10.30574/wjarr.2022.13.2.0003
 
Publication history: 
Received on 22 December 2021; revised on 11 February 2022; accepted on 14 February 2022
 
Abstract: 
The q-derivative operator was stated as a convolution of two analytic functions. The necessary and sufficient conditions for a Janowski’s harmonic q-starlike functions were studied. Also, some subordination properties of Janowski’s analytic q-starlike functions were studied. This article ends with a few open questions.
 
Keywords: 
q−Derivative operator; q−Integral operator; Janowski harmonic functions; Janowski analytic functions.
 
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