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

30 March 2011

journal article
Published by Cambridge University Press (CUP) in Proceedings of the Edinburgh Mathematical Society

Vol. 54 (2), 273-295
https://doi.org/10.1017/s0013091509000959

Abstract

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.

Keywords

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