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A q-analog of the sixth Painlevé equation (1996)

Jimbo, Michio ; Sakai, Hidetaka

Springer

Letters in mathematical physics 38 (1996), S. 145-154

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ISSN: 1573-0530

Keywords: 17B37 ; 39A70 ; 81R50 ; q-difference equations ; Painlevé equations ; connection preserving deformation

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract A q-difference analog of the sixth Painlevé equation is presented. It arises as the condition for preserving the connection matrix of linear q-difference equations, in close analogy with the monodromy-preserving deformation of linear differential equations. The continuous limit and special solutions in terms of q-hypergeometric functions are also discussed.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00398316

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