On the zeros of successive derivatives of even Laguerre-Pólya functions

Shen, Li-Chien

doi:10.1090/S0002-9947-1986-0860385-6

On the zeros of successive derivatives of even Laguerre-Pólya functions
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Trans. Amer. Math. Soc. 298 (1986), 643-652 Request permission

Abstract:

Using "method of steepest descent", we prove that the final set (in the sense of Polya) of a class of even Laguerre-Polya functions is the entire real axis.

References

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