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

Almkvist, Gert LU ; Van Straten, Duco and Zudilin, Wadim (2011) In Proceedings of the Edinburgh Mathematical Society 54. p.273-295
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.
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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Calabi-Yau differential equation, generalized hypergeometric series, monodromy, algebraic transformation
in
Proceedings of the Edinburgh Mathematical Society
volume
54
pages
273 - 295
publisher
Cambridge University Press
external identifiers
  • wos:000290771300001
  • scopus:79956071621
ISSN
1464-3839
DOI
10.1017/S0013091509000959
language
English
LU publication?
yes
id
3dd820ee-7f60-4a17-bd85-fa089c4e3500 (old id 1986241)
date added to LUP
2016-04-01 14:22:07
date last changed
2022-04-22 02:51:20
@article{3dd820ee-7f60-4a17-bd85-fa089c4e3500,
  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.}},
  author       = {{Almkvist, Gert and Van Straten, Duco and Zudilin, Wadim}},
  issn         = {{1464-3839}},
  keywords     = {{Calabi-Yau differential equation; generalized hypergeometric series; monodromy; algebraic transformation}},
  language     = {{eng}},
  pages        = {{273--295}},
  publisher    = {{Cambridge University Press}},
  series       = {{Proceedings of the Edinburgh Mathematical Society}},
  title        = {{Generalizations of Clausen's Formula and algebraic transformations of Calabi–Yau differential equations}},
  url          = {{http://dx.doi.org/10.1017/S0013091509000959}},
  doi          = {{10.1017/S0013091509000959}},
  volume       = {{54}},
  year         = {{2011}},
}