On the Hill Discriminant of Lamé's Differential Equation

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2024
• ISSN: 1815-0659
• 1. Verfasser: Volkmer, Hans
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2024
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212174
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: On the Hill Discriminant of Lamé's Differential Equation. Hans Volkmer. SIGMA 20 (2024), 021, 9 pages

Lamé's differential equation is a linear differential equation of the second order with a periodic coefficient involving the Jacobian elliptic function sn, depending on the modulus , and two additional parameters and . This differential equation appears in several applications, for example, th...