The double confluent Heun equation: Characteristic exponent and connection formulae

Methods and Applications of Analysis ◽

10.4310/maa.1994.v1.n3.a6 ◽

1994 ◽

Vol 1 (3) ◽

pp. 348-370 ◽

Author(s):

Wolfgang Bühring

Keyword(s):

Characteristic Exponent ◽

Heun Equation ◽

Double Confluent Heun Equation ◽

Confluent Heun Equation ◽

Connection Formulae

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Representations of the Klein Group Determined by Quadruples of Polynomials Associated with the Double Confluent Heun Equation

Mathematical Notes ◽

10.1134/s0001434618030033 ◽

2018 ◽

Vol 103 (3-4) ◽

pp. 357-371 ◽

Author(s):

V. M. Buchstaber ◽

S. I. Tertychnyi

Keyword(s):

Heun Equation ◽

Klein Group ◽

Double Confluent Heun Equation ◽

Confluent Heun Equation

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Holomorphic solutions of the double confluent Heun equation associated with the RSJ model of the Josephson junction

Theoretical and Mathematical Physics ◽

10.1007/s11232-015-0267-1 ◽

2015 ◽

Vol 182 (3) ◽

pp. 329-355 ◽

Author(s):

V. M. Buchstaber ◽

S. I. Tertychnyi

Keyword(s):

Josephson Junction ◽

Heun Equation ◽

Double Confluent Heun Equation ◽

Confluent Heun Equation

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On Constrictions of Phase-Lock Areas in Model of Overdamped Josephson Effect and Transition Matrix of the Double-Confluent Heun Equation

Journal of Dynamical and Control Systems ◽

10.1007/s10883-018-9411-1 ◽

2018 ◽

Vol 25 (3) ◽

pp. 323-349 ◽

Author(s):

A. A. Glutsyuk

Keyword(s):

Transition Matrix ◽

Josephson Effect ◽

Heun Equation ◽

Double Confluent Heun Equation ◽

Confluent Heun Equation

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Solution Space Monodromy of a Special Double Confluent Heun Equation and Its Applications

Theoretical and Mathematical Physics ◽

10.1134/s0040577919100027 ◽

2019 ◽

Vol 201 (1) ◽

pp. 1426-1441 ◽

Author(s):

S. I. Tertychniy

Keyword(s):

Solution Space ◽

Heun Equation ◽

Double Confluent Heun Equation ◽

Confluent Heun Equation

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On the Central Connection Problem for the Double Confluent Heun Equation

Mathematische Nachrichten ◽

10.1002/mana.19981950115 ◽

1998 ◽

Vol 195 (1) ◽

pp. 267-276

Author(s):

Gerhard Wolf

Keyword(s):

Heun Equation ◽

Connection Problem ◽

Double Confluent Heun Equation ◽

Confluent Heun Equation

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Stokes Matrices of a Reducible Double Confluent Heun Equation via Monodromy Matrices of a Reducible General Huen Equation with Symmetric Finite Singularities

Journal of Dynamical and Control Systems ◽

10.1007/s10883-021-09571-0 ◽

2021 ◽

Author(s):

Tsvetana Stoyanova

Keyword(s):

Heun Equation ◽

Double Confluent Heun Equation ◽

Confluent Heun Equation ◽

Monodromy Matrices

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Antiquantization of the Double Confluent Heun Equation. The Teukolsky Equation

Nelineinaya Dinamika ◽

10.20537/nd190108 ◽

2019 ◽

Vol 15 (1) ◽

pp. 79-85

Author(s):

A.A. Salatich ◽

◽

S.Yu. Slavyanov ◽

Keyword(s):

Heun Equation ◽

Teukolsky Equation ◽

Double Confluent Heun Equation ◽

Confluent Heun Equation

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An algorithm to obtain global solutions of the double confluent Heun equation

Numerical Algorithms ◽

10.1007/s11075-008-9197-4 ◽

2008 ◽

Vol 49 (1-4) ◽

pp. 33-51 ◽

Author(s):

J. Abad ◽

F. J. Gómez ◽

J. Sesma

Keyword(s):

Global Solutions ◽

Heun Equation ◽

Double Confluent Heun Equation ◽

Confluent Heun Equation

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Correction to : Stokes Matrices of a Reducible Double Confluent Heun Equation via Monodromy Matrices of a Reducible General Huen Equation with Symmetric Finite Singularities

Journal of Dynamical and Control Systems ◽

10.1007/s10883-021-09575-w ◽

2021 ◽

Author(s):

Tsvetana Stoyanova

Keyword(s):

Heun Equation ◽

Double Confluent Heun Equation ◽

Confluent Heun Equation ◽

Monodromy Matrices

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Group algebras acting on the space of solutions of a special double confluent Heun equation

Theoretical and Mathematical Physics ◽

10.1134/s0040577920080012 ◽

2020 ◽

Vol 204 (2) ◽

pp. 967-983

Author(s):

V. M. Buchstaber ◽

S. I. Tertychnyi

Keyword(s):

Group Algebras ◽

Heun Equation ◽

Double Confluent Heun Equation ◽

Confluent Heun Equation

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