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Zeros of generalized Airy functions

Published online by Cambridge University Press:  26 February 2010

P. Baldwin
P. Baldwin
Affiliation:
Department of Engineering Mathematics, The University of Newcastle-upon-Tyne, Newcastle-upon-Tyne. NE1 7RU
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Extract

Some interlacing properties of the zeros of the generalized Airy functions A1(z, p) are given for non-positive integral values of p. The result that A1 (z,p) has no real zero for is extended to show that all the zeros of A1(z,p) are real and simple if . It is also shown that all the zeros of the functions Bk(z,p, 1) for k = 1, 2, 3 are simple for non-positive integral p.

Type
Research Article
Information
Mathematika , Volume 32 , Issue 1 , June 1985 , pp. 104 - 117
Copyright
Copyright © University College London 1985

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