On the univalency and multivalency of certain analytic functions
β Scribed by M. Nunokawa
- Publisher
- Springer-Verlag
- Year
- 1968
- Tongue
- French
- Weight
- 312 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
bi-starlike functions Coefficient bounds a b s t r a c t In the present paper, we introduce and investigate two interesting subclasses of normalized analytic and univalent functions in the open unit disk U := {z : z β C and |z| < 1}, whose inverse has univalently analytic continuation to U. Among ot
several useful results of certain inequalities dealing with analytic and univalent functions are obtained and then certain consequences of them are also indicated.
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