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

Author:
Li-Chien Shen

Journal:
Trans. Amer. Math. Soc. **298** (1986), 643-652

MSC:
Primary 30D15; Secondary 30C15

MathSciNet review:
860385

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Abstract | References | Similar Articles | Additional Information

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.

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DOI:
https://doi.org/10.1090/S0002-9947-1986-0860385-6

Keywords:
The final set,
Laguerre-Polya function,
method of steepest descent,
Phragmen-Lindelöf indicator,
proximate order

Article copyright:
© Copyright 1986
American Mathematical Society