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On The Zeros Of Solutions Of Second-Order Linear Differential Equations

Published online by Cambridge University Press:  20 November 2018

P. R. Beesack  and
Binyamin Schwarz
P. R. Beesack
Affiliation:
Hamilton College, McMaster University, Hamilton, Canada
Binyamin Schwarz
Affiliation:
Technion (Israel Institute of Technology), Haifa, Israel
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Introduction. In §1 of this paper we consider the complex differential equation

1, |z| < 1,

where q(z) is a regular function in the open unit circle. We shall give a lower bound for the non-Euclidean distance of any pair of zeros of any non-trivial (i.e., not identically zero) solution u(z) of (1).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 8 , 1956 , pp. 504 - 515
Copyright
Copyright © Canadian Mathematical Society 1956

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