The authors introduce and study three novel subclasses of analytic and p-valent functions with negative coefficients. In addition to finding a necessary and sufficient condition for a function to belong to each of these subclasses, a number of other potentially useful properties and characteristics
Some families of multivalent functions
β Scribed by M.K. Aouf; H.M. Hossen; H.M. Srivastava
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 374 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0898-1221
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π SIMILAR VOLUMES
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, Ξ») and P + a,c (A, B; p, Ξ») of the class A( p) of normalized p-valent analytic functions in the open unit disk. The main objective of t
## Abstract Certain subclasses π~__p__~(__j__, Ξ±), β¬οΈ~__p__~(__j__, Ξ±) and π’~__p,b__~(__j__, Ξ±) 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 π~__p__~(__j__, Ξ±), β¬οΈ~__p__~(__j__, Ξ±), or π’~
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.
While presenting an interesting improvement of a result of R. M. Robinson Ε½ .
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