On the Order of Starlikeness of the Class UST
β Scribed by I.R. Nezhmetdinov
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 84 KB
- Volume
- 234
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
## Abstract Let __f__(__z__) = __z__ + __a__~2~__z__^2^ + β¦ be an analytic function in the unit disk π° = {__z__ : |__z__| < 1}. Such a function belongs to the class __G__~__b__~ defined by Silverman if the quotient of the analytic representations of convexity and starlikeness of the function maps t
## Abstract For analytic and __p__ βvalent functions __f__ (__z__) in the open unit disk π, a new subclass $ \tilde S^\*\_p $(__Ξ±__, __Ξ²__) consisting of the functions __f__ (__z__) which are strongly starlike __p__ βvalent of order __Ξ²__ and type __Ξ±__ is introduced. The object of the present pape
Let Q be the class of functions of the form f z s y1rz q c q c z q ΠΈΠΈΠΈ 0 1 < < which are meromorphic in the unit disk z -1 and satisfy there the condition Ε½ . Γ 4 Γ Ε½ .4 f z / 0 and α£ z ΠΈ α£ f z ) 0 for nonreal z. We determine the radius of starlikeness of order β£, yΟ± -β£ -1, and the maximal domain o