We denote by A, the class of all analytic functions f in the unit disc β = {z β C : |z| < 1} with the normalization f (0) = f β² (0) -1 = 0. For a positive number Ξ» > 0, we denote by β A, such that a 3 -a 2 2 = 0, and satisfying the condition In this paper, we find conditions on Ξ», Ξ± and Ξ³ such tha
A characterization theorem for a certain class of analytic functions
β Scribed by H.M. Srivastava; Shigeyoshi Owa
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 199 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The object of the present paper is to derive various properties and characteristics of certain subclasses of p-valently analytic functions in the open unit disk by using the techniques involving the Briot-Bouquet differential subordination. The results presented here not only improve and sharpen the
By making use of a subordination theorem for analytic functions, we derive several subordination relationships between certain subclasses of analytic functions which are defined by means of the SΘlΘgean derivative operator. Some interesting corollaries and consequences of our results are also consid
Let A(p) denote the class of functions f (z) = z p + β n=p+1 a n z n (p β N = {1, 2, . . .}) which are analytic and p-valent in the unit disc U = {z : |z| < 1}. The objective of the present work is to obtain some convolution properties for the class , where the value Ξ² is sharp.