NOTE ON THE ZEROS OF FUNCTIONS WITH UNIVALENT DERIVATIVES

NOTE ON THE ZEROS OF FUNCTIONS WITH UNIVALENT DERIVATIVES

Let E denote the class of functions f(z) analytic in the unit disc D, normalized so that f(0)= 0= f'(0) -1, such that each f^(k)(z), k≥0 is univalent in D. In this paper we establish conditions for some functions to belong to class E.

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Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences 1986, Vol.1986 (1), p.81-88
1. Verfasser: Salmassi, Mohammad
Format: Artikel
Sprache:eng
Schlagworte:
close-to-convex functions
entire functions
univalent functions
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Zusammenfassung:Let E denote the class of functions f(z) analytic in the unit disc D, normalized so that f(0)= 0= f'(0) -1, such that each f^(k)(z), k≥0 is univalent in D. In this paper we establish conditions for some functions to belong to class E.
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171286000108