Convolution Properties for Subclasses of Meromorphic Univalent Functions of Complex Order


Teodor Bulboacă, Mohamed K. Aouf, Rabha M. El-Ashwah




Using the new linear operator $\Cal{L}$ $^m(\lambda,l)f(z)=\frac{1}{z}+\sum_{k=1}^{\infty}(\frac{l}{l+\lambda k})^m a_kz^{k-1}, \quad f\in \sum,$\\ where $l>0$, $\lambda \geq 0$, and $m \in \mathbb{N}_0=\mathbb{N}$ $\cup\{0\}$, we introduce two subclasses of meromorphic analytic functions, and we investigate several convolution properties, coefficient inequalities, and inclusion relations for these classes.we introduce two subclasses of meromorphic analytic functions, and we investigate several convolution properties, coefficient inequalities, and inclusion relations for these classes.