A New Operator for Meromorphic Functions

Hatun Özlem Güney, Daniel Breaz and Shigeyoshi Owa
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Hatun Özlem Güney: Department of Mathematics, Faculty of Science, Dicle University, Diyarbakır 21280, Turkey
Daniel Breaz: Department of Exact Sciences and Engineering, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, Romania
Shigeyoshi Owa: “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, Romania

Mathematics, 2022, vol. 10, issue 12, 1-13

Abstract: Let Σ be the class of functions f ( z ) of the form f ( z ) = 1 z + ∑ k = 0 ∞ a k z k , which are analytic in the punctured disk. Using the differentiations and integrations, new operator D n f ( z ) is introduced for f ( z ) ∈ Σ . The object of the present paper is to discuss some interesting properties for D n f ( z ) and some properties concerned with different boundary points of the open unit disk. Moreover, some simple examples for our results are shown.

Keywords: analytic function; meromorphic function; differential operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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