Let A A be the class of normalized analytic functions in the unit disk β¬ and define the class
Certain subclasses of analytic and bi-univalent functions
β Scribed by H.M. Srivastava; A.K. Mishra; P. Gochhayat
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 257 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
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 other results, bounds for the Taylor-Maclaurin coefficients |a 2 | and |a 3 | are found in our investigation.
π SIMILAR VOLUMES
In this paper, we find the necessary and sufficient conditions for functions zF (a, b; c; z) in the generalized class of Ξ² uniformly starlike and Ξ² uniformly convex functions of order Ξ± and also consequences of the results are pointed out.
several useful results of certain inequalities dealing with analytic and univalent functions are obtained and then certain consequences of them are also indicated.