Certain sufficient conditions for φ -like functions in a parabolic region

Authors

  • Hardeep KAUR Sri Guru Granth Sahib World" University, Department of Mathematics, Fatehgarh Sahib, 140407, Punjab, India e-mail: kaurhardeep959@gmail.com
  • Richa BRAR “Sri Guru Granth Sahib World” University Department of Mathematics Fatehgarh Sahib, 140 407 Punjab, India e-mail: richabrar4@gmail.com
  • Sukhwinder Singh BILLING “Sri Guru Granth Sahib World” University Department of Mathematics Fatehgarh Sahib, 140 407 Punjab, India e-mail: ssbilling@gmail.com https://orcid.org/0000-0002-6801-2521

DOI:

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

Keywords:

Analytic function, differential subordination, parabolic φ like function, 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 φ -like, starlike and close-to-convex in a parabolic region.

Mathematics Subject Classification (2010): 30C80, 30C45.

Received 21 May 2020; Accepted 21 July 2020.

References

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Rabha W. Ibrahim, On certain univalent class associated with first order differential sub- ordinations, Tamkang Journal of Mathematics, 42, 4(2011), 445-451.

V. Ravichandran, N. Mahesh and R. Rajalakshmi, On Certain Applications of Differential Subordinations for φ-like Functions, Tamkang J. Math., 36, 2 (2005), 137-142.

F. Ronning, Uniformly convex functions and a corresponding class of starlike functions, Proc. Amer. Math. Soc., 118, (1993), no. 1, 189-196.

St. Ruscheweyh, A subordination theorem for φ-like functions, J. London Math. Soc., 2, 13 (1976), 275-280.

T.N. Shanmugam, S. Sivassubramanian and Maslina Darus, Subordination and superordination results for φ-like functions, Journal of ineq. in pure and applied mathematics, 8, 1(2007), Art.20, 1-6.

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Published

2023-06-14

How to Cite

KAUR, H., BRAR, R., & BILLING, S. S. (2023). Certain sufficient conditions for φ -like functions in a parabolic region. Studia Universitatis Babeș-Bolyai Mathematica, 68(2), 279–293. https://doi.org/10.24193/subbmath.2023.2.05

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