Properties of certain transforms defined by convolution of analytic functions
β Scribed by Ming-Sheng Liu; Shigeyoshi Owa; Nian-Sheng Song
- Book ID
- 119187059
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 201 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0096-3003
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let A(p, k)(p, k β N = {1, 2, 3, . . .}) be the class of functions f (z) = z p + a p+k z p+k + β’ β’ β’ 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, Ξ΄; h) of A(p, k) and derive some interesting properties for th
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