On the distribution of the zeros of generalized Airy functions

Headley, V. B.; Barwell, V. K.

doi:10.1090/S0025-5718-1975-0378360-3

On the distribution of the zeros of generalized Airy functions
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by V. B. Headley and V. K. Barwell PDF

Math. Comp. 29 (1975), 863-877 Request permission

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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