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

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

References

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Published

2023-06-13

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Articles