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On the distribution of the zeros of generalized Airy functions

Authors: V. B. Headley and V. K. Barwell
Journal: Math. Comp. 29 (1975), 863-877
MSC: Primary 65D20; Secondary 33A70
MathSciNet review: 0378360
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Abstract: We give tables of zeros and values of the generalized Airy functions introduced by Swanson and Headley [SIAM J. Appl. Math., v. 15, 1967, pp. 1400-1412]. The tables enable us to sharpen substantially results on the distribution of the zeros. We show that the nonreal zeros are asymptotically close to the boundary rays of the sectors obtained in the paper cited. We conjecture from the numerical evidence that the zeros monotonically approach the rays.

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Keywords: Generalized Airy functions, tables of zeros, asymptotic distribution of zeros, turning points
Article copyright: © Copyright 1975 American Mathematical Society