-Surface q-Painlevé IV Equation

نویسندگان

  • Nobutaka NAKAZONO
  • N. Nakazono
چکیده

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 2φ1 basic hypergeometric series and the other is given by 2ψ2 bilateral basic hypergeometric series.

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تاریخ انتشار 2014