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

Wolfgang Lay, Sergei Yu Slavyanov

Результат исследований: Научные публикации в периодических изданияхстатья

5 Цитирования (Scopus)


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.

Язык оригиналаанглийский
Страницы (с-по)4249-4261
Число страниц13
ЖурналJournal of Physics A: Mathematical and General
Номер выпуска18
СостояниеОпубликовано - 8 мая 1998


Предметные области Scopus

  • Статистическая и нелинейная физика
  • Математическая физика
  • Физика и астрономия (все)