On Some Differential Operators Related to A Type of Meromorphic Univalent Functions

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Published: Aug 25, 2023
DOI: https://doi.org/10.25130/tjps.v28i4.1530
Keywords:
Meromorphic, Operator, Distortion, Starlike, Convex, Function

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Majida Kh. Abdullah
Department of Mathematics, College of Education for Women, Tikrit University, Tikrit, Iraq
Abdul Rahman S. Juma
Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Ramadi, Iraq

Abstract

The goal of this article is to introduce a class of a type of meromorphic function which defined by some differential operators. Then we study various properties of these operators such as, coefficient inequality, both of growth and distortion theorems, radii of Star likeness and convexity of f(z) in the class that we present it.

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How to Cite
Abdullah, M. K., & Juma, A. R. S. (2023). On Some Differential Operators Related to A Type of Meromorphic Univalent Functions. Tikrit Journal of Pure Science, 28(4), 75–79. https://doi.org/10.25130/tjps.v28i4.1530
Issue
Vol. 28 No. 4 (2023)
Section
Articles
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References

[1] Z. Yildirim, E. Deniz, S. Kazimoğlu, Some Families of Meromorphic Functions Involving a Differential Operator, 5th INTERNATIONAL CONFERENCE ON MATHEMATICS “An Istanbul Meeting for World Mathematicians” 1-3 December 2021, Istanbul, Turkey.

[2] T. R. Al-Kubaisi and A. S. Juma, Certain Subclasses of Meromorphic Univalent Function Involving Differential Operator, MJS, vol. 31, no. 4, pp. 80–86, Dec. 2020.

[3] O. N. Kassar, A. S. Juma, CERTAIN SUBCLASSES OF MEROMORPHIC FUNCTIONS WITH POSITIVE COEFFICIENTS ASSOCIATED WITH LINEAR OPERATOR, Kragujevac Journal of Mathematics, Volume 47(1) (2023), Pages 143–151.

[4] A. S. Shinde, R. N. Ingle and P. Th. Reddy, On Certain Subclass of Meromorphic Functions With Positive Coefficients, Palestine Journal of Mathematics, Vol. 10 (2) (2021), 685-693.

[5] J. Clunie, On meromorphic schlicht functions, J. London Math. Soc., 34, 215-216 (1959).

[6] Ch. Pommerenke, On meromorphic starlike functions, Pacfic J. Math., 13, 221-235 (1963).

[7] W. C. Royster, Meromorphic starlike multivalent functions, Trans. Amer. Math. Soc., 107, 300-308

(1963).

[8] B. Venkateshwarlu, P.Thirupathi Reddy and N. Rani, Certain subclass of meromorphic functions involving generalized differential operator, Tbilisi Math. J. (Accepted).

[9] B. Madhavi, T. Srinivas and P. Thirupathi Reddy, A new subclass of meromorphically uniformly convex functions with positive coefficients, Palestine J. of Math., 6(1), 179–187 (2017).