Zeta function of the Bessel operator on the negative real axis

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, , Citation S Leseduarte and A Romeo 1994 J. Phys. A: Math. Gen. 27 2483 DOI 10.1088/0305-4470/27/7/025

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1 Dept. d'Estructura i Constituents de la Materia, Barcelona Univ., Spain

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0305-4470/27/7/2483

Abstract

We investigate the pole structure of the zeta function zeta Anu (s)= Sigma k lambda k-s built out of the eigenvalues lambda k of a Bessel operator Anu subject to Dirichlet boundary conditions at one end of the domain. This leads us to the study of zeta Anu on the negative real axis, where most of the singularities occur.

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