Generalizations of Clausen's Formula and algebraic transformations of Calabi–Yau differential equations-Reference-Cited by-同舟云学术

Generalizations of Clausen's Formula and algebraic transformations of Calabi–Yau differential equations

Published:2011-03-30 Issue:2 Volume:54 Page:273-295
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Almkvist Gert,van Straten Duco,Zudilin Wadim

Abstract

AbstractWe provide certain unusual generalizations of Clausen's and Orr's theorems for solutions of fourth-order and fifth-order generalized hypergeometric equations. As an application, we present several examples of algebraic transformations of Calabi–Yau differential equations.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference21 articles.

1. 1. Almkvist G. , Calabi–Yau differential equations of degree 2 and 3 and Yifan Yang's pullback, Preprint (http://arxiv.org/abs/math.AG/0612215; 2006).

2. 3. Almkvist G. , van Enckevort C. , van Straten D. and Zudilin W. , Tables of Calabi–Yau equations, Preprint (http://arxiv.org/abs/math.AG/0507430; 2005).

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