OKUBO TYPE DIFFERENTIAL EQUATIONS DERIVED FROM HYPERGEOMETRIC FUNCTIONS FD

From Lauricella's hypergeometric functions in n variables, we construct a special type of Pfaffian equations of rank n + 1 called Okubo type differential equations. For each homogenized Okubo type differential equation, we construct special n + 1 coordinate functions called flat coordinate func...

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Veröffentlicht in:	Kyushu Journal of Mathematics 2021, Vol.75(1), pp.1-21
1. Verfasser:	KATO, Mitsuo
Format:	Artikel
Sprache:	eng
Schlagworte:	Differential equations flat coordinate Hypergeometric functions Lauricella's hypergeometric function Mathematical analysis Okubo differential equation Painlevé solution potential vector
Online-Zugang:	Volltext
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