where p(x) is a continuous positive function for 0<x< oo. Equation (1) is said to be nonoscillatory in (a, oo) if no solution of (1) vanishes more than once in this interval. Because of the Sturmâ€¦ (More)

It is customary to formulate the inequalities of the "Verzerrungssatz" type for analytic functions wâ€”f(z), schlicht in the unit circle, with reference to a specific normalization. The twoâ€¦ (More)

is the Schwarzian derivative of w =/(z). The two cases treated in [3 ] were m(\z\) =ir2/2 and m(\z\) =2(1 â€” \z\ 2)~2. The constants appearing in both criteria are the largest possible. In the firstâ€¦ (More)

which is univalent for p < | z\ <1. Most of the simple devices used in the treatment of univalent Taylor series cannot be profitably applied to the series (1), mainly because even the most elementaryâ€¦ (More)

The fifty-ninth Annual Meeting of the American Mathematical Society was held at Washington University, St. Louis, Missouri, Saturday through Monday, December 27-29, 1952, in conjunction with meetingsâ€¦ (More)

Theorems due to Nehari and Ahlfors give sufficient conditions for the univalence of an analytic function in relation to the growth of its Schwarzian derivative. Nehari's theorem is for the unit discâ€¦ (More)

Study of different isolation and enrichment media for recovering Yersinia enterocolitica has been carried out. The best data have been obtained after enrichment in phosphate buffer with sorbitol andâ€¦ (More)

The objective of this paper is to give an alternative derivation of results on bounded analytic functions recently obtained by Ahlfors [l] and Garabedian [2].1 While it is admitted that the main ideaâ€¦ (More)

J. E. Adney, E. S. Allen, Emilio Baiada, I. A. Barnett, W. R. Baum, L. G. Belai, W. D. Berg, Dewey Blair, Louis Brand, R. W. Bryant, E. D. Cashwell, Lamberto Cesari, V. F. Cowling, E. H. Crisler, R.â€¦ (More)