On a remarkable sequence of Bessel matrices

DOI10.1134/S0001434615110024zbMath1345.15008MaRDI QIDQ268071

S. I. Tertychnyi, Victor M. Buchstaber

Publication date: 14 April 2016

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

modified Bessel function of the first kindanalytic solutionToeplitz matrixconjectureLaurent seriesJosephson junctionBessel matricesdouble confluent Heun equationHessenberg matrix

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (6)

On families of constrictions in model of overdamped Josephson junction and Painlevé 3 equation* ⋮ On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect ⋮ On constrictions of phase-lock areas in model of overdamped Josephson effect and transition matrix of the double-confluent Heun equation ⋮ On determinants of modified Bessel functions and entire solutions of double confluent Heun equations ⋮ The rotation number integer quantization effect in braid groups ⋮ Total positivity, Grassmannian and modified Bessel functions

Cites Work

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• Holomorphic solutions of the double confluent Heun equation associated with the RSJ model of the Josephson junction
• Explicit solution family for the equation of the resistively shunted Josephson junction model

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