Spectral functions of zeros in the Besselq-functions |
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Authors: | A A Kvitsinsky |
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Institution: | (1) Research Institute of Physics of St. Petersburg State University, USSR |
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Abstract: | Zeta functions v(z; q)=
n=1
jvn(q)]–z and partition functions Zv(t; q)= n
exp–tj
vn
2
(q)] related to the zeros jvn(q) of the Bessel q-functions Jv(x; q) and J
v
(2)
(x; q) are studied and explicit formulas for v(2n; q) at n=±1, ±2, ... are obtained. The poles of v(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.Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 107, No. 3, pp. 397–414, June, 1996. |
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Keywords: | |
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