On Lemniscate of Bernoulli of q-Janowski type

Authors

  • Afis Saliu Department of Mathematics, Gombe State University P.M.B 127, Tudun Wada, Gombe, Gombe State, Nigeria; Department of Mathematics, University of the Gambia, MDI Road, Kanifing P.O. Box 3530, Serrekunda, The Gambia
  • Semiu Oladipupo Oladejo Department of Mathematics, Gombe State University P.M.B 127, Tudun Wada, Gombe, Gombe State, Nigeria

Keywords:

Univalent functions, Schwarz functions, Lemniscate of Bernoulli, Subordination, Janowski Functions

Abstract

In this article, we introduce the q-analogue of functions characterized by the lemniscate of Bernoulli in the right-half plane and define the class $\mathbb{L}^{\ast}_{q}(A, B)$. Furthermore, we study the geometric properties of this class, which include coefficient inequalities, subordination factor sequence property, radii results and Fekete-Szeg$\ddot{\textup{o}}$ problems. Some deductions of our results show relevant connections between this present work and the existing ones in many literature. It is worthy of note that some of our results are sharp.

Dimensions

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Published

2022-10-08

How to Cite

On Lemniscate of Bernoulli of q-Janowski type. (2022). Journal of the Nigerian Society of Physical Sciences, 4(4), 961. https://doi.org/10.46481/jnsps.2022.961

Issue

Volume 4, Issue 4, November 2022

Section

Original Research
Copyright & Licensing

Copyright (c) 2022 Afis Saliu, Semiu Oladipupo Oladejo

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

On Lemniscate of Bernoulli of q-Janowski type. (2022). Journal of the Nigerian Society of Physical Sciences, 4(4), 961. https://doi.org/10.46481/jnsps.2022.961