Proceedings of the American Mathematical Society

Author(s): David A. Cardon
Journal: Proc. Amer. Math. Soc. 130 (2002), 1725-1734.
MSC (2000): Primary 44A35, 30C15
Posted: October 17, 2001
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Abstract: Let

be a real entire function of order less than

with only real zeros. Then we classify certain distribution functions

such that the convolution $(G*dF)(z)=\int_{-\infty}^{\infty} G(z-is)\,dF(s)$ has only real zeros.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 44A35, 30C15

David A. Cardon
Affiliation: Department of Mathematics, Brigham Young University, Provo, Utah 84602
Email: cardon@math.byu.edu

DOI: 10.1090/S0002-9939-01-06351-1
PII: S 0002-9939(01)06351-1
Keywords: Convolution, zeros of entire functions, Laguerre-P\'olya class
Received by editor(s): December 5, 2000
Posted: October 17, 2001
Communicated by: Dennis A. Hejhal
Copyright of article: Copyright 2001, American Mathematical Society

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