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

نویسندگان

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

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

doi
10.22075/ijnaa.2024.35082.5237
چکیده

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.