Geodesic
Entire Functions with Some Derivatives Univalent
Canadian journal of mathematics, Tome 26 (1974) no. 1, pp. 207-213

Voir la notice de l'article provenant de la source Cambridge University Press

This paper is a continuation of the author's previous work, [6; 7], on the relationship between the radius of convergence of a power series and the number of derivatives of the power series which are univalent in a given disc.In particular, let D be the open disc centered at 0, and let f be regular there. Suppose that is a strictly-increasing sequence of positive integers such that each f(n p) is univalent in D. Let R be the radius of convergence of the power series, centered at 0, that represents f. In [7], we investigated the connection between R and . We showed that, in general 
Shah, S. M.; Trimble, S. Y. Entire Functions with Some Derivatives Univalent. Canadian journal of mathematics, Tome 26 (1974) no. 1, pp. 207-213. doi: 10.4153/CJM-1974-020-4
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