On an inequality of Nehari
نویسندگان
چکیده
منابع مشابه
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On a Theorem of Nehari and Quasidiscs
Let f be a locally injective analytic map of the unit disc D and let ff; zg be its Schwarzian derivative. Suppose jff; zgj 2p(jzj). We use the classical connection between Schwarzian derivative and second order linear equations to show that, for a particular class of functions p , the image f (D) is a quasidisc. The analysis centers on the diierential equation y 00 + py = 0 and a niteness condi...
متن کاملNote on a Theorem of Nehari
hFih, x) > hFih, x) (0 è h < h < oo). In the course of this investigation the question arose whether a C2 solution of (1), with F subject to (2), is uniquely determined by the conditions (C) yia) = y'ib) = 0, y(x) > 0 for x E (a, b\. Nehari conjectured that this solution is unique under an additional condition on the behavior of Fit, x) as a function of x. The purpose of this note is to show th...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1969
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1969-0240388-0