Vol. 31, No. 3, 1969

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The Schwarzian derivative and multivalence

W. J. Kim

Vol. 31 (1969), No. 3, 717–724
Abstract

A generalization of the Schwarzian derivative and a sufficient condition for disconjugacy of the nth-order differential equation with analytic coefficients are obtained. These results are lhen used to establish a multivalence criterion for a certain family of analytic functions.

Mathematical Subject Classification
Primary: 30.44
Secondary: 34.00
Milestones
Received: 28 May 1969
Published: 1 December 1969
Authors
W. J. Kim