Some applications of a subordination theorem for a class of analytic functions
✍ Scribed by H.M. Srivastava; Sevtap Sümer Eker
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 200 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
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 Sȃlȃgean derivative operator. Some interesting corollaries and consequences of our results are also considered.
📜 SIMILAR VOLUMES
A normalized analytic function f defined on the open unit disk is a Janowski starlike , where A and B are complex numbers satisfying the conditions |B| ≤ 1 and A ̸ = B. In this paper, a new class of analytic functions defined by means of subordination is introduced. Sufficient conditions are obtain
Let A(p) denote the class of functions f (z) = z p + ∞ n=p+1 a n z n (p ∈ 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 β is sharp.