Certain sufficient conditions for \(\varphi\)-like functions in a parabolic region

Hardeep Kaur; Richa Brar; Sukhwinder Singh Billing

doi:10.24193/subbmath.2023.2.05

Authors

Hardeep Kaur Sri Guru Granth Sahib World University, Fatehgarh Sahib
Richa Brar Sri Guru Granth Sahib World University, Fatehgarh Sahib
Sukhwinder Singh Billing Sri Guru Granth Sahib World University, Fatehgarh Sahib

DOI:

https://doi.org/10.24193/subbmath.2023.2.05

Keywords:

Analytic function, differential subordination, parabolic φ like func- tion, parabolic starlike function, close-to-convex function

Abstract

To obtain the main result of the present paper we use the technique of differential subordination. As special cases of our main result, we obtain sufficient conditions for \(f\in A\) to be \(\varphi\)-like, starlike and close-to-convex in a parabolic region.

Author Biographies

Hardeep Kaur, Sri Guru Granth Sahib World University, Fatehgarh Sahib

Assistant Professor, Department of Mathematics, Sri Guru Granth Sahib World University, Fatehgarh Sahib, Punjab, India
Richa Brar, Sri Guru Granth Sahib World University, Fatehgarh Sahib

Assistant Professor, Department of Mathematics, Sri Guru Granth Sahib World University, Fatehgarh Sahib, Punjab, India
Sukhwinder Singh Billing, Sri Guru Granth Sahib World University, Fatehgarh Sahib

Professor, Department of Mathematics, Sri Guru Granth Sahib World University, Fatehgarh Sahib, Punjab, India

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