The coexistence problem for Heun's differential equation

✍ Scribed by Hans Volkmer

• Publisher: John Wiley and Sons
• Year: 2006
• Tongue: English
• Weight: 149 KB
• Volume: 279
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200410458

✦ Synopsis

Abstract

For certain parameter sets all solutions of Heun's equation are analytic in ℰ \ [0, 1], where ℰ is a (small) neighborhood of [0, 1]. These parameters sets are investigated. The results generalize those on coexistence of periodic solutions of the Lamé and Ince equations due to Ince, Magnus and Winkler. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)