Here we investigate a majorization problem involving starlike function of complex order belonging to a certain class defined by means of fractional derivatives. Relevant connections of the main results obtained in this paper with those given by earlier workers on the subject are also pointed out.
Majorization for certain classes of analytic functions using multiplier transformation
✍ Scribed by Pranay Goswami; Bhavna Sharma; Teodor Bulboacă
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 271 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
✦ Synopsis
In the present paper we investigate the majorization properties for certain classes of multivalent analytic functions defined by multiplier transformation. Moreover, we point out some new or known consequences of our main result.
📜 SIMILAR VOLUMES
A denote the class of analytic functions with the normalization f(0) = f' (0)-1 = 0 in the open unit disk L/, set s:,(~) = ~ + ~ ~,~--~) z k (s ~ ~; ~ > -:;. ~ u), and define f~:~,, in terms of the Hadamard product z z = (t~ > 0; z E hi). ## A( ) \* fL.(z) "(1 -z)~ In this paper, the authors intro
We denote by A, the class of all analytic functions f in the unit disc ∆ = {z ∈ C : |z| < 1} with the normalization f (0) = f ′ (0) -1 = 0. For a positive number λ > 0, we denote by ∈ A, such that a 3 -a 2 2 = 0, and satisfying the condition In this paper, we find conditions on λ, α and γ such tha
In the present investigation, by making use of the familiar concept of neighborhoods of analytic and multivalent functions, we derive coefficient bounds and distortion inequalities, associated inclusion relations for the (n, δ)-neighborhoods of subclasses of analytic and multivalent functions with n