Inclusion relations between classes of functions defined by subordination
β Scribed by M Jahangiri; H Silverman; E.M Silvia
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 510 KB
- Volume
- 151
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
In this paper we investigate a class of p-valent analytic functions with ΓΏxed argument of coe cient, which is deΓΏned in terms of certain di erential-integral operators. Coe cient estimates, distortion theorems, extreme points, the radii of convexity and starlikeness in this class are given.
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.
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