- Title
- Apéry limits of differential equations of order 4 and 5.
- Creator
- Almkvist, Gert; van Straten, Duco; Zudilin, Wadim
- Relation
- Workshop on Modular Forms and String Duality. Proceedings of the Workshop on Modular Forms and String Duality (Banff, Canada 3-8 June, 2006)
- Relation
- http://www.ams.org/bookstore-getitem/item=FIC-54
- Publisher
- American Mathematical Society
- Resource Type
- conference paper
- Date
- 2008
- Description
- The concept of Apéry limit for second and third order differential equations is extended to fourth and fifth order equations, mainly of Calabi-Yau type. For those equations obtained from Hadamard products of second and third order equations we can prove that the limits are determined in terms of the factors by a certain formula. Otherwise the limits are found by using PSLQ in Maple and are only conjectural. All identified limits are rational linear combinations of the following numbers: pi(2) Catalan's constant G, Sigma(infinity)(n=1) (n/3)/n(2); pi(3), pi(3), zeta(3), pi(3)root 3, pi(4).
- Subject
- Apéry limits; equations
- Identifier
- http://hdl.handle.net/1959.13/1058112
- Identifier
- uon:16330
- Identifier
- ISBN:9780821844847
- Language
- eng
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