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A New Operator for Meromorphic Functions

Author

Listed:
  • 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)

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.

Suggested Citation

  • Hatun Özlem Güney & Daniel Breaz & Shigeyoshi Owa, 2022. "A New Operator for Meromorphic Functions," Mathematics, MDPI, vol. 10(12), pages 1-13, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:1985-:d:834418
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