Certain Subclasses of Meromorphic Univalent Function Involving Differential Operator


  • Teba Rzaij Al-Kubaisi Department of Mathematics, College of Education, University of Anbar.
  • AbdulRahman Salman Juma Department of Mathematics, College of Education, University of Anbar.




Meromorphic univalent function, differential operator, hadamard product, starlike function, convex function, Neighborhood


The main object of the present paper is to introduce the class of meromorphic univalent function K* (σ,τ,S) defined by differential operator with study some geometric properties like coefficient inequality , growth theorem and distortion theorem, radii of starlikeness and convexity of f(z) in the class K* (σ,τ,S) .Also the concept of convolution (Hadamard product) investigate and Neighborhoods of the elements of class K* (σ,τ,S) are obtained.


M.Darus, S.B.Joshi, N.D.Sangl, Meromor-phic starlike function with alternating and missing coefficients, Gen. Math. 14 (4) (2006), 113-126.

CrossRef DOI: https://doi.org/10.1179/174313406X104321

A.W. Goodman. Univalent function non analytic curves, pros. Amer. Math. Soc., (1957), vol.8, no.3, pp.598-601.

CrossRef DOI: https://doi.org/10.1090/S0002-9939-1957-0086879-9

A. R. S. Juma, H.H. Ebrahim and Sh. I. Ahmed. On Subclass of Meromorphic Univalent Function by Derivative Operator, Gen. Math. Notes, Vol. 26, No.2(2015), pp.79-96.

J. L. Lin and H.M.S. Srivastava, A linear operator and associated families of Mero-morphically multivalent function, J. Math. Ana1.App1.259(2001),566-581.


M .Sh .Mahmoud ,A .R .S .Juma and R. A.Mansor , on a class of meromorphic univ-alent function involving hypergeometric, JQCM, vol. 11(3)(2019), pp maty.12-20.

CrossRef DOI: https://doi.org/10.29304/jqcm.2019.11.2.544

D. Raducanu ,H .Orhan, subclasses of analytic function defined by ageneralized differential operator, Int. Journ. Math. Anal., 4(1)(2010),1-15.

CrossRef DOI: https://doi.org/10.1006/jmaa.2000.7430

S.Ruscheweyh. Neighborhoods of univalent function, proc. Amer. Math. Soc., (1981), vol. 81, no. 4, pp.521-527.

CrossRef DOI: https://doi.org/10.1090/S0002-9939-1981-0601721-6




How to Cite

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.