Standard

The central two-point connection problem for the Heun class of ODEs. / Lay, Wolfgang; Slavyanov, Sergei Yu.

In: Journal of Physics A: Mathematical and General, Vol. 31, No. 18, 08.05.1998, p. 4249-4261.

Research output: Contribution to journalArticlepeer-review

Harvard

Lay, W & Slavyanov, SY 1998, 'The central two-point connection problem for the Heun class of ODEs', Journal of Physics A: Mathematical and General, vol. 31, no. 18, pp. 4249-4261. https://doi.org/10.1088/0305-4470/31/18/014

APA

Vancouver

Lay W, Slavyanov SY. The central two-point connection problem for the Heun class of ODEs. Journal of Physics A: Mathematical and General. 1998 May 8;31(18):4249-4261. https://doi.org/10.1088/0305-4470/31/18/014

Author

Lay, Wolfgang ; Slavyanov, Sergei Yu. / The central two-point connection problem for the Heun class of ODEs. In: Journal of Physics A: Mathematical and General. 1998 ; Vol. 31, No. 18. pp. 4249-4261.

BibTeX

@article{cab6f2b32a1642c98abfcc11e7b7a3a3,
title = "The central two-point connection problem for the Heun class of ODEs",
abstract = "We present a numerical approach to the central two-point connection problem for the confluent cases of the Heun class of differential equations. The crucial step is an ansatz for the solutions of the equations in terms of a generalized power series (called Jaff{\'e} expansions). It is shown that the resulting difference equations for the coefficients of these series are of Poincar{\'e}-Perron type. A (formal) asymptotic investigation of the solutions of these difference equations yields the exact eigenvalue condition.",
author = "Wolfgang Lay and Slavyanov, {Sergei Yu}",
year = "1998",
month = may,
day = "8",
doi = "10.1088/0305-4470/31/18/014",
language = "English",
volume = "31",
pages = "4249--4261",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "18",

}

RIS

TY - JOUR

T1 - The central two-point connection problem for the Heun class of ODEs

AU - Lay, Wolfgang

AU - Slavyanov, Sergei Yu

PY - 1998/5/8

Y1 - 1998/5/8

N2 - We present a numerical approach to the central two-point connection problem for the confluent cases of the Heun class of differential equations. The crucial step is an ansatz for the solutions of the equations in terms of a generalized power series (called Jaffé expansions). It is shown that the resulting difference equations for the coefficients of these series are of Poincaré-Perron type. A (formal) asymptotic investigation of the solutions of these difference equations yields the exact eigenvalue condition.

AB - We present a numerical approach to the central two-point connection problem for the confluent cases of the Heun class of differential equations. The crucial step is an ansatz for the solutions of the equations in terms of a generalized power series (called Jaffé expansions). It is shown that the resulting difference equations for the coefficients of these series are of Poincaré-Perron type. A (formal) asymptotic investigation of the solutions of these difference equations yields the exact eigenvalue condition.

UR - http://www.scopus.com/inward/record.url?scp=0032495999&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/31/18/014

DO - 10.1088/0305-4470/31/18/014

M3 - Article

AN - SCOPUS:0032495999

VL - 31

SP - 4249

EP - 4261

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 18

ER -

ID: 36181995