Research output: Contribution to journal › Article › peer-review
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 journal › Article › peer-review
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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