Certain sufficient conditions for parabolic starlike and uniformly close-to-convex functions

Authors

  • 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

Keywords:

Analytic function, univalent function, parabolic starlike function, uniformly close-to-convex function, differential subordination.

Abstract

In the present paper, we study certain differential subordinations and obtain sufficient conditions for parabolic starlikeness and uniformly close-toconvexity of analytic functions.

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

References

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Published

2016-03-30

How to Cite

BRAR, R., & BILLING, S. S. (2016). Certain sufficient conditions for parabolic starlike and uniformly close-to-convex functions. Studia Universitatis Babeș-Bolyai Mathematica, 61(1), 53–62. Retrieved from https://studia.reviste.ubbcluj.ro/index.php/subbmathematica/article/view/5511

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