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

Almkvist, Gert; Van Straten, Duco; Zudilin, W.

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

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posted on 2025-05-08, 13:57 authored by Gert Almkvist, Duco Van Straten, W. Zudilin

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.

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DOI - Is published in https://doi.org/10.1017/S0013091509000959
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ISSN - Is version of https://portal.issn.org/resource/ISSN/1464-3839

Journal title

Proceedings of the Edinburgh Mathematical Society

Volume

54

Issue

2

Pagination

273-295

Publisher

Cambridge University Press

Language

en, English

College/Research Centre

Faculty of Science and Information Technology

School

School of Mathematical and Physical Sciences

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Keywords

Calabi–Yau differential equation generalized hypergeometric series monodromy algebraic transformation

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

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