On determinants of modified Bessel functions and entire solutions of double confluent Heun equations

DOI10.1088/0951-7715/29/12/3857zbMath1356.33004arXiv1509.01725OpenAlexW3098747906MaRDI QIDQ2958858

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Publication date: 3 February 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01725

zbMATH Keywords

modified Bessel functionsrotation numberentire solutionsdouble confluent Heun equationsJosephson effect in superconductivityordinary differential equations on two-torusphase-lock areas

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05)

Related Items (10)

On families of constrictions in model of overdamped Josephson junction and Painlevé 3 equation* ⋮ Solution space monodromy of a special double confluent Heun equation and its applications ⋮ On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect ⋮ Reducible \(M\)-curves for Le-networks in the totally-nonnegative Grassmannian and KP-II multiline solitons ⋮ On constrictions of phase-lock areas in model of overdamped Josephson effect and transition matrix of the double-confluent Heun equation ⋮ On spectral curves and complexified boundaries of the phase-lock areas in a model of Josephson junction ⋮ Unnamed Item ⋮ The rotation number integer quantization effect in braid groups ⋮ Stokes matrices of a reducible double confluent Heun equation via monodromy matrices of a reducible general Heun equation with symmetric finite singularities ⋮ Total positivity, Grassmannian and modified Bessel functions

Cites Work

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• Tractrices, Bicycle Tire Tracks, Hatchet Planimeters, and a 100-year-old Conjecture
• Asymptotic properties of Arnold tongues and Josephson effect
• Possible new effects in superconductive tunnelling
• Double Bruhat cells and total positivity

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