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

Published online by Cambridge University Press:  30 March 2011

Gert Almkvist
Affiliation:
Matematikcentrum, Lunds Universitet, Matematik MNF, Box 118, 22100 Lund, Sweden (gert@maths.lth.se)
Duco van Straten
Affiliation:
Fachbereich Mathematik 08, Institut für Mathematik, AG Algebraische Geometrie, Johannes Gutenberg-Universität, 55099 Mainz, Germany (straten@mathematik.uni-mainz.de)
Wadim Zudilin
Affiliation:
School of Mathematical and Physical Sciences, The University of Newcastle, Callaghan, NSW 2308, Australia (wadim.zudilin@newcastle.edu.au)
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Abstract

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We 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.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2011

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