Meromorphic close-to-convex functions satisfying a differential inequality

Authors

  • Kuldeep Kaur SHERGILL Sri Guru Granth Sahib World University, Department of Mathematics, Fatehgarh Sahib-140407 (Punjab), India, e-mail: kkshergill16@gmail.com
  • Sukhwinder Singh BILLING Sri Guru Granth Sahib World University, Department of Mathematics, Fatehgarh Sahib-140407 (Punjab), India, e-mail: ssbilling@gmail.com https://orcid.org/0000-0002-6801-2521

DOI:

https://doi.org/10.24193/subbmath.2020.3.06

Keywords:

Meromorphic function, meromorphic starlike function, meromorphic close-to-convex function.

Abstract

In the present paper, we study the differential inequality

...

where f ∈ Σ and notice that the members of class Σ which satisfy the above inequality are meromorphic close-to-convex.

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

References

Goyal, S.P., Prajapat J.K., A new class of meromorphic functions involving certain linear operator, Tamsui Oxford J. Math. Sci., (25)(2009), no. 2, 167-176.

Miller, S.S., Mocanu, P.T., Differential subordinations and inequalities in the complex plane, J. Differential Equations, (67)(1987), 199-211.

Wang Jing, Guo Lifeng, Sufficient conditions for meromorphic close-to-convex functions, Int. Electron. J. Pure Appl. Math., (3)(2014), 375-379.

Wang Jing, Li Bo, Sufficient conditions for meromorphic close-to-convexity of order α, Sch. J. Eng. Tech., (2)(2B)(2014), 305-308.

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Published

2020-09-15

How to Cite

SHERGILL, K. K., & BILLING, S. S. (2020). Meromorphic close-to-convex functions satisfying a differential inequality. Studia Universitatis Babeș-Bolyai Mathematica, 65(3), 373–378. https://doi.org/10.24193/subbmath.2020.3.06

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