The object of the present paper is to derive some interesting conditions for the class of strongly starlike functions of order  and type ␣ in the open unit disk. Some examples for the special cases of our main result are also given. ᮊ 1997
Some sufficient conditions for -valent strongly starlike functions
✍ Scribed by Ding-Gong Yang; Jin-Lin Liu
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 439 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0898-1221
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📜 SIMILAR VOLUMES
Let A be the class of analytic functions in the unit disc that are of the form are studied, as sufficient conditions for starlikeness and convexity.
The purpose of the present paper is to derive some sufficient conditions for Carathéodory functions in the open unit disk by using Miller and Mocanu's lemma. Several special cases are considered as the corollaries of main results.
## Starlike of order α Convex of order α a b s t r a c t For analytic functions f (z) in the open unit disk U, there are many sufficient conditions for f (z) to be starlike and convex in U. In view of the paper by P.T. Mocanu [P.T. Mocanu, Some starlikeness conditions for analytic functions, Rev.
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