Antiquantization of the Double Confluent Heun Equation. The Teukolsky Equation

DOI10.20537/nd190108zbMath1420.34101OpenAlexW2925485932WikidataQ128104503 ScholiaQ128104503MaRDI QIDQ5225015

A. A. Salatich, S. Yu. Slavyanov

Publication date: 25 July 2019

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/nd642

zbMATH Keywords

double confluent Heun equationantiquantizationTeukolsky equationPainlevé equation \(P^3\)

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items (4)

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 ⋮ First-order ODE systems generating confluent Heun equations ⋮ Stokes matrices of a reducible double confluent Heun equation via monodromy matrices of a reducible general Heun equation with symmetric finite singularities

Cites Work

• Unnamed Item
• Unnamed Item
• Isomonodromy, Painlevé transcendents and scattering off of black holes
• Antiquantization of deformed Heun-class equations
• The spectrum of electromagnetic jets from Kerr black holes and naked singularities in the Teukolsky perturbation theory
• Euler integral symmetries for the confluent Heun equation and symmetries of the Painlevé equation PV
• Painlevé equations as classical analogues of Heun equations
• Antiquantization, isomonodromy, and integrability
• Asymptotic and numeric study of eigenvalues of the double confluent Heun equation
• On modeling for Kerr black holes: basis learning, QNM frequencies, and spherical-spheroidal mixing coefficients

This page was built for publication: Antiquantization of the Double Confluent Heun Equation. The Teukolsky Equation