## Abstract and Applied Analysis

### Convolution Properties for Some Subclasses of Meromorphic Functions of Complex Order

#### Abstract

Making use of the operator ${\mathcal{L}}_{\upsilon }$ for functions of the form $f(z)=1/z+{\sum }_{k=1}^{\mathrm{\infty }}{a}_{k}{z}^{k-1}$, which are analytic in the punctured unit disc ${\mathbb{U}}^{\ast }=\{z:z\in \mathbb{C}$ and $0<|z|<1\}=\mathbb{U}\setminus \{0\}$, we introduce two subclasses of meromorphic functions and investigate convolution properties, coefficient estimates, and containment properties for these subclasses.

#### Article information

Source
Abstr. Appl. Anal., Volume 2015 (2015), Article ID 973613, 6 pages.

Dates
First available in Project Euclid: 17 August 2015

https://projecteuclid.org/euclid.aaa/1439816239

Digital Object Identifier
doi:10.1155/2015/973613

Mathematical Reviews number (MathSciNet)
MR3378565

Zentralblatt MATH identifier
06929079

#### Citation

Aouf, M. K.; Mostafa, A. O.; Zayed, H. M. Convolution Properties for Some Subclasses of Meromorphic Functions of Complex Order. Abstr. Appl. Anal. 2015 (2015), Article ID 973613, 6 pages. doi:10.1155/2015/973613. https://projecteuclid.org/euclid.aaa/1439816239

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