This article is cited in 5 papers

On some criteria for the univalence of analytic functions

S. N. Kudryashov

Rostov State University

Abstract: Criteria for the univalence of functions $f(z)$ which are regular in the domain $|z|<1$ are obtained in the form of restrictions on the modulus of the quotient $f''(z)[f'(z)]^{-1}$. Analogous results are obtained also for functions which are analytic in the interior of the unit disk except for a simple pole at infinity.

UDC: 517.5

Received: 20.04.1972

 English version: Mathematical Notes, 1973, 13:3, 219–223

Bibliographic databases:

• 
•