Hypergeometric τ Functions of the q-Painlevé Systems of Type (A₂+A₁)⁽¹⁾

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік
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Hypergeometric τ Functions of the q-Painlevé Systems of Type (A₂+A₁)⁽¹⁾

Інший ID: 2010 Mathematics Subject Classification: 33D05; 33D15; 33E17; 39A13
DOI:10.3842/SIGMA.2010.084

URI: http://dspace.nbuv.gov.ua/handle/123456789/146518

Посилання: Hypergeometric τ Functions of the q-Painlevé Systems of Type ((A₂+A₁)⁽¹⁾ / N. Nakazono // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 34 назв. — англ.

Підтримка: The author would like to express sincere thanks to Professor T. Masuda for fruitful discussions and valuable suggestions. I acknowledge continuous encouragement by Professors K. Kajiwara and T. Tsuda. This work has been partially supported by the JSPS Research Fellowship.

Дата: 2010

Завантажень: 276

Hypergeometric τ Functions of the q-Painlevé Systems of Type (A₂+A₁)⁽¹⁾

Анотація:

We consider a q-Painlevé III equation and a q-Painlevé II equation arising from a birational representation of the affine Weyl group of type (A₂+A₁)⁽¹⁾. We study their hypergeometric solutions on the level of τ functions.

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