Generalizations of Clausen's Formula and algebraic transformations of Calabi–Yau differential equations
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1986241
- author
- Almkvist, Gert LU ; Van Straten, Duco and Zudilin, Wadim
- organization
- publishing date
- 2011
- 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}}, }