Hypergeometric τ Functions of the q-Painlevé Systems of Types A⁽¹⁾₄ and (A₁+A′₁)⁽¹⁾

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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Hypergeometric τ Functions of the q-Painlevé Systems of Types A⁽¹⁾₄ and (A₁+A′₁)⁽¹⁾

Інший ID: 2010 Mathematics Subject Classification: 33D05; 33D15; 33E17; 39A13
DOI:10.3842/SIGMA.2016.051

URI: http://dspace.nbuv.gov.ua/handle/123456789/147747

Посилання: Hypergeometric τ Functions of the q-Painlevé Systems of Types A⁽¹⁾₄ and (A₁+A′₁)⁽¹⁾ / N. Nakazono // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 59 назв. — англ.

Підтримка: The author would like to express his sincere thanks to Dr. Milena Radnovic for her valuable comments. This research was supported by grant # DP130100967 from the Australian Research Council.

Дата: 2016

Завантажень: 193

Hypergeometric τ Functions of the q-Painlevé Systems of Types A⁽¹⁾₄ and (A₁+A′₁)⁽¹⁾

Анотація:

We consider q-Painlevé equations arising from birational representations of the extended affine Weyl groups of A⁽¹⁾₄- and (A₁+A₁)⁽¹⁾-types. We study their hypergeometric solutions on the level of τ functions.

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