Nobutaka Nakazono

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We consider a q-Painlevé IV equation which is the A (1) 4-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 2 ϕ 1 basic hypergeometric series and the other is given by 2 ψ 2 bilateral basic(More)
Solutions to a q-analog of Painlevé III equation of type D Solutions to a q-analog of Painlevé III equation of type D (1) 7 Abstract. This paper deals with a q-analog of Painlevé III equation of type D (1) 7. We study its algebraic function solutions and transcendental function solutions. We construct algebraic function solutions expressed by Laurent(More)
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