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Zbl 0562.30007
Baldwin, P.
Zeros of generalized Airy functions. (English)
[J] Mathematika 32, 104-117 (1985). ISSN 0025-5793; ISSN 2041-7942/e

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

MSC 2000:: *30C15 Zeros of polynomials, etc. (one complex variable)
33C10 Cylinder functions, etc.

Keywords: Airy functions

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