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The coexistence problem for Heun's differential equation
Author(s) -
Volkmer Hans
Publication year - 2006
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200410458
Subject(s) - mathematics , differential equation , mathematical analysis , mathematical physics , differential (mechanical device) , pure mathematics , physics , thermodynamics
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)