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Certain inequalities of meromorphic univalent functions associated with the Mittag-Leffler function

Aouf Mohamed K., Mostafa Adela O.

Journal of Applied Analysis

2019

Vol. 25, nr 2

173--178

The purpose of this paper is to prove differential inequalities for meromorphic univalent functions by using a new operator associated with the Mittag-Leffler function.

Holomorphic and meromorphic properties of the g-Drazin inverse

Koliha J., Rakočević V.

Demonstratio Mathematica

2005

Vol. 38, nr 3

657-666

If A(z) is a function of a complex variable with values in the space B(X) of all bounded linear operators on a Banach space X with each A (z) g-Drazin invertible, we study the conditions under which the g-Drazin inverse A°(z) is holomorphic and finite-meromorphic. Prom our results we recover a theorem of Steinberg on meromorphic families of compact operators.