The d-dimensional softcore Coulomb potential and the generalized confluent Heun equation

Journal of Mathematical Physics ◽

10.1063/1.5035357 ◽

2018 ◽

Vol 59 (10) ◽

pp. 102105

Author(s):

Richard L. Hall ◽

Nasser Saad ◽

Kyle R. Bryenton

Keyword(s):

Coulomb Potential ◽

Heun Equation ◽

Confluent Heun Equation

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Single polymer dynamics in elongational flow and the confluent Heun equation

Journal of Physics A General Physics ◽

10.1088/0305-4470/39/34/007 ◽

2006 ◽

Vol 39 (34) ◽

pp. 10691-10701 ◽

Author(s):

D Vincenzi ◽

E Bodenschatz

Keyword(s):

Elongational Flow ◽

Polymer Dynamics ◽

Heun Equation ◽

Confluent Heun Equation

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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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Expansions of the solutions to the confluent Heun equation in terms of the Kummer confluent hypergeometric functions

AIP Advances ◽

10.1063/1.4893997 ◽

2014 ◽

Vol 4 (8) ◽

pp. 087132 ◽

Author(s):

T. A. Ishkhanyan ◽

A. M. Ishkhanyan

Keyword(s):

Hypergeometric Functions ◽

Heun Equation ◽

Confluent Hypergeometric Functions ◽

Confluent Heun Equation

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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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The central two-point connection problem for the reduced confluent Heun equation

Journal of Physics A General Physics ◽

10.1088/0305-4470/39/10/007 ◽

2006 ◽

Vol 39 (10) ◽

pp. 2339-2348 ◽

Author(s):

A Ya Kazakov

Keyword(s):

Heun Equation ◽

Connection Problem ◽

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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Euler integral symmetries for the confluent Heun equation and symmetries of the Painlevé equation PV

Theoretical and Mathematical Physics ◽

10.1007/s11232-014-0160-3 ◽

2014 ◽

Vol 179 (2) ◽

pp. 543-549 ◽

Author(s):

A. Ya. Kazakov ◽

S. Yu. Slavyanov

Keyword(s):

Painlevé Equation ◽

Heun Equation ◽

Euler Integral ◽

Painleve 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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A limit of the confluent Heun equation and the Schrödinger equation for an inverted potential and for an electric dipole

Journal of Mathematical Physics ◽

10.1063/1.3268591 ◽

2009 ◽

Vol 50 (12) ◽

pp. 123511 ◽

Author(s):

Léa Jaccoud El-Jaick ◽

Bartolomeu D. B. Figueiredo

Keyword(s):

Schrödinger Equation ◽

Electric Dipole ◽

Schrodinger Equation ◽

Heun Equation ◽

Confluent Heun Equation

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