On the univalence of integral operations involving meromorphic functions
Abstract
The main object of this paper is to give sufficient conditions for integral
operators $\mathrm{{\mathcal{H}}}_{\alpha,\beta,\gamma}$ and
$\mathrm{{\mathcal{G}}}_{\lambda,\mu}$, which are defined here by means of the meromorphic functions, to be univalent in the open unit disk. In particular cases, we find the corresponding simpler conditions for these integral operators.
operators $\mathrm{{\mathcal{H}}}_{\alpha,\beta,\gamma}$ and
$\mathrm{{\mathcal{G}}}_{\lambda,\mu}$, which are defined here by means of the meromorphic functions, to be univalent in the open unit disk. In particular cases, we find the corresponding simpler conditions for these integral operators.
Keywords
analytic functions; punctured unit disk; meromorphic functions; univalence conditions; integral operators
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PDFISSN: 1331-0623 (Print), 1848-8013 (Online)