Representations of the Klein group determined by quadruples of polynomials associated with the double confluent Heun equation

DOI10.1134/S0001434618030033zbMath1395.34086OpenAlexW2800912248WikidataQ129958105 ScholiaQ129958105MaRDI QIDQ722143

S. I. Tertychnyi, Victor M. Buchstaber

Publication date: 23 July 2018

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

Full work available at URL: https://doi.org/10.1134/s0001434618030033

zbMATH Keywords

double confluent Heun equationrepresentations of Klein groupring of Laurent polynomialssemilinear mappings

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15) 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 ⋮ On constrictions of phase-lock areas in model of overdamped Josephson effect and transition matrix of the double-confluent Heun equation ⋮ Symmetries of the space of solutions to special double confluent Heun equations of integer order

Cites Work

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• Automorphisms of the solution spaces of special double-confluent Heun equations
• Holomorphic solutions of the double confluent Heun equation associated with the RSJ model of the Josephson junction

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