Spectral functions of zeros in the Besselq-functions

Autor: A. A. Kvitsinsky
Rok vydání: 1996
Předmět:
Zdroj: Theoretical and Mathematical Physics. 107:740-754
ISSN: 1573-9333
0040-5779
DOI: 10.1007/bf02070382
Popis: Zeta functions ζv(z; q)=Σ n= [jvn(q)]−z and partition functions Zv(t; q)=Σn exp[−tj vn 2 (q)] related to the zeros jvn(q) of the Bessel q-functions Jv(x; q) and J v () (x; q) are studied and explicit formulas for ζv(2n; q) at n=±1, ±2, ... are obtained. The poles of ζv(z; q) in the complex plane and the corresponding residues are found. Asymptotics of the partition functions Zv(t; q) at t →0 are investigated.
Databáze: OpenAIRE
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