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Singularities of bessel-zeta functions and Hawkins' polynomials

Published online by Cambridge University Press:  26 February 2010

Kenneth B. Stolarsky
Kenneth B. Stolarsky
Affiliation:
Department of Mathematics, 1409 West Green Street, University of Illinois, Urbana, Illinois, 61801, U.S.A.
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Abstract

The asymptotic behaviour of a sequence of polynomials cm = cm(v) satisfying

is established. These polynomials occur in Hawkins' formula for the residues of a Bessel-zeta function at its possible poles in the left half plane. The results imply that cm(v)/cm(0) converges uniformly to cos πV on compact sets. This in turn implies that, for v not a half odd integer, all but finitely many of the possible poles are actual poles.

Type
Research Article
Information
Mathematika , Volume 32 , Issue 1 , June 1985 , pp. 96 - 103
Copyright
Copyright © University College London 1985

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