Some Inequalities Involving Meromorphically Multivalent Functions
โ Scribed by Shigeyoshi Owa; Oh Sang Kwon; Nak Eun Cho
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 117 KB
- Volume
- 212
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
โฆ Synopsis
While presenting an interesting improvement of a result of R. M. Robinson ลฝ .
๐ SIMILAR VOLUMES
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
## Abstract Certain subclasses ๐~__p__~(__j__, ฮฑ), โฌ๏ธ~__p__~(__j__, ฮฑ) and ๐ข~__p,b__~(__j__, ฮฑ) of multivalent functions in the unit disk are introduced. The object of the present paper is to derive some properties of functions belonging to the classes ๐~__p__~(__j__, ฮฑ), โฌ๏ธ~__p__~(__j__, ฮฑ), or ๐ข~
## Abstract Themeromorphic maps __f~ฮป~__ (__z__) = __ฮป__ (1 โ exp(โ2__z__))^โ1^, __ฮป__ > 0, of the complex plane are thoroughly investigated. With each map __f~ฮป~__ associated is its projection __F~ฮป~__ on the infinite cylinder __Q__. This map and the set __J~r~__ (__F~ฮป~__) consisting of those poi
A formula is derived from which one can obtain a family of two-sided inequali-ลฝ n r . 1r r ties involving the elementary mean values ร w x . In particular, one member of this family provides a new refinement of the arithmetic mean-geometric mean inequality.