International Journal of Nonlinear Analysis and Applications

On a class of multivalent meromorphic functions defined by the combinational differential operator

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran

2 Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran

10.22075/ijnaa.2024.35082.5237

Abstract

In this paper, we define a class of meromorphically multivalent functions in $\mathbb{U^{\ast}}=\{z:z\in\mathbb{C}:0<|z|<1\}$ by using a differential operator. Important properties of this class such as coefficient estimates, distortion theorem, radius of starlikeness and convexity, closure theorems, and convolution properties are obtained. We also study $\delta$-neighboorhoods and partial sums for this class.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 07 January 2025
  • Receive Date: 20 August 2024
  • Accept Date: 06 October 2024