Spectral functions of zeros in the Bessel \(q\)-functions

DOI10.1007/BF02070382zbMath1041.33502MaRDI QIDQ1292047

Andrej A. Kvitsinskij

Publication date: 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Other functions defined by series and integrals (33E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

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• On the variation with respect to a parameter of zeros of Bessel and q- Bessel functions
• The zeros of basic Bessel functions, the functions J(nu+ax)(x), and associated orthogonal polynomials
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• Asymptotic expansions for \(q\)-gamma, \(q\)-exponential, and \(q\)-Bessel functions
• Zeta functions, heat kernel expansions, and asymptotics for \(q\)-Bessel functions
• Sum rules for quantum billiards
• Spectral zeta functions for Aharonov-Bohm quantum billiards
• On q-Analogues of the Fourier and Hankel Transforms
• Zeta function of the Bessel operator on the negative real axis
• Spectral zeta functions for q-Bessel equations
• Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen q‐Differenzengleichung. Das q‐Analogon der Laplace‐Transformation
• Die mechanische Deutung einer geometrischen Differenzgleichung

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