The authors investigate various inclusion and other properties of a certain class of meromorphicMly p-valent functions which are defined here by means of a linear operator. The familiar concept of neighborhood of analytic functions is also extended and applied to the meromorphically p-valent functio
Some Properties of Multivalent Functions Associated with a Certain Operator
โ Scribed by He, P.; Zhang, D.
- Book ID
- 125370067
- Publisher
- Springer
- Year
- 2014
- Tongue
- English
- Weight
- 95 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0041-5995
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๐ SIMILAR VOLUMES
The object of the present paper is to derive some properties of certain multivalent functions in the unit disk. A conjecture for certain multivalent functions will be given.
## 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~
In this paper, we introduce and investigate various inclusion relationships and convolution properties of a certain class of meromorphically p-valent functions, which are defined in this paper by means of a linear operator.
Making use of a certain linear operator, which is defined here by means of the Hadamard product (or convolution), we introduce two novel subclasses P a,c (A, B; p, ฮป) and P + a,c (A, B; p, ฮป) of the class A( p) of normalized p-valent analytic functions in the open unit disk. The main objective of t