An operator on families of univalent functions
β Scribed by Herb Silverman
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 302 KB
- Volume
- 122
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
In this note our aim is to deduce some sufficient conditions for integral operators involving Bessel functions of the first kind to be univalent in the open unit disk. The key tools in our proofs are the generalized versions of the well-known Ahlfors' and Becker's univalence criteria and some inequa
## Abstract Let __D__ denote the open unit disc and __f__ : __D__ β \documentclass{article} \usepackage{amssymb} \pagestyle{empty} \begin{document} $ \overline {\mathbb C} $ \end{document} be meromorphic and injective in __D__. We assume that __f__ is holomorphic at zero and has the expansion Espe
Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), the authors introduce (and investigate the various properties and characteristics of) two novel families of meromorphically multivalent functions. They also extend the familiar concept of neighb