Symmetry Groups of An Hypergeometric Series

Structures of symmetries of transformations for Holman-Biedenharn-Louck An hypergeometric series: An terminating balanced ₄F₃ series and An elliptic ₁₀E₉ series are discussed. Namely the description of the invariance groups and the classification all of possible transformations for each types of An...

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Збережено в:
Бібліографічні деталі
Дата:2014
Автор: Kajihara, Y.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2014
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/146815
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Symmetry Groups of An Hypergeometric Series / Y. Kajihara // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 37 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Резюме:Structures of symmetries of transformations for Holman-Biedenharn-Louck An hypergeometric series: An terminating balanced ₄F₃ series and An elliptic ₁₀E₉ series are discussed. Namely the description of the invariance groups and the classification all of possible transformations for each types of An hypergeometric series are given. Among them, a ''periodic'' affine Coxeter group which seems to be new in the literature arises as an invariance group for a class of An ₄F₃ series.