Univalency of certain analytic functions

Yang, Dinggong; Owa, Shigeyoshi

Proc. Japan Acad. Ser. A Math. Sci., Tome 78 (2002) no. 10, p. 148-151 / Harvested from Project Euclid

Résumé

Let $\mathcal{A}$ be the class of functions $f(z)$ which are analytic in the open unit disk $\mathbf{U}$ with $f(0) = 0$ and $f'(0) = 1$. Using $g(z) \in \mathcal{A}$, the subclass $\mathcal{T}(\lambda, \mu, g)$ of $\mathcal{A}$ consisting of functions $f(z)$ is introduced. The object of the present paper is to consider some univalence conditions for functions $f(z)$ belonging to the class $\mathcal{T}(\lambda, \mu, g)$ applying the subordination properties of analytic functions.

Publié le : 2002-09-14
Classification: Analytic function, univalent function, starlike function, subordination, 30C45

@article{1148392639,
     author = {Yang, Dinggong and Owa, Shigeyoshi},
     title = {Univalency of certain analytic functions},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {78},
     number = {10},
     year = {2002},
     pages = { 148-151},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148392639}
}

Yang, Dinggong; Owa, Shigeyoshi. Univalency of certain analytic functions. Proc. Japan Acad. Ser. A Math. Sci., Tome 78 (2002) no. 10, pp.  148-151. http://gdmltest.u-ga.fr/item/1148392639/