Hypergeometric Solutions of the A₄⁽¹⁾-Surface q-Painlevé IV Equation

We consider a q-Painlevé IV equation which is the A₄⁽¹⁾-surface type in the Sakai's classification. We find three distinct types of classical solutions with determinantal structures whose elements are basic hypergeometric functions. Two of them are expressed by ₂φ₁ basic hypergeometric series a...

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Datum:2014
1. Verfasser: Nakazono, N.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2014
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/146608
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Hypergeometric Solutions of the A₄⁽¹⁾-Surface q-Painlevé IV Equation / N. Nakazono // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 41 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine