Starlikeness and close-to-convexity involving certain differential inequalities

Authors

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

DOI:

https://doi.org/10.24193/subbmath.2024.1.04

Keywords:

Meromorphic functions, meromorphic starlike function, meromorphic close-to-convex function, multivalent functions

Abstract

In the present paper, we study certain differential inequalities involving meromorphic functions in the open unit disk and obtain certain sufficient conditions for starlikeness and close-to-convexity of meromorphic functions.

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

Received 06 April 2021; Accepted 11 October 2022

References

Goyal, S.P., Prajapat, J.K., A new class of meromorphic functions involving certain linear operator, Tamsui Oxford J. Math. Sci., 25(2)(2009), 167-176.

Jack, I.S., Functions starlike and convex of order α, J. London Math. Soc., 3(1971), 469-474.

Wang, Z.G., Liu, Z.H., Xiang, R.G., Some criteria for meromorphic multivalent starlike functions, Applied Mathematics and Computation, 218 (2011), 1107-1111.

Xu, N., Yang, D., On starlikeness and close-to-convexity of certain meromorphic functions, J. Korea Soc. Math. Educ. Ser. B. Pure. Appl. Math., 10(1)(2003), 1-11.

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Published

2024-03-20

How to Cite

SHERGILL, K. K. ., & BILLING, S. S. . (2024). Starlikeness and close-to-convexity involving certain differential inequalities. Studia Universitatis Babeș-Bolyai Mathematica, 69(1), 67–73. https://doi.org/10.24193/subbmath.2024.1.04

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