Neighborhoods for certain subclasses of multivalently analytic functions defined by using a differential operator
✍ Scribed by Osman Altıntaş; Hüseyin Irmak; H.M. Srivastava
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 220 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
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 negative coefficients, which are defined by means of a certain nonhomogenous differential equation. Several special cases of the main results are mentioned.
📜 SIMILAR VOLUMES
Let A(p, k)(p, k ∈ N = {1, 2, 3, . . .}) be the class of functions f (z) = z p + a p+k z p+k + • • • which are analytic in the unit disk E = {z : |z| < 1}. By using a linear operator L p,k (a, c), we introduce a new subclass T p,k (a, c, δ; h) of A(p, k) and derive some interesting properties for th
product Linear multiplier fractional differential operator a b s t r a c t By using a linear multiplier fractional differential operator a new subclass of analytic functions generalized β-uniformly convex functions, denoted by β-SP n,α λ,µ (γ ), is introduced. For this class the Fekete-Szegö proble
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