Apéry limits of differential equations of order 4 and 5.

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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