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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

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
DOI: https://doi.org/10.1090/S0002-9947-1986-0860385-6
MathSciNet review: 860385
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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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Additional Information

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