Hypergeometric Solutions for the q-Painlev\'e Equation of type E(1)6 by Pad\'e Method

Abstract

The q-Painlev\'e equation of type E(1)6 is obtained by Pad\'e method. Special solutions in determinant formula to the q-Painlev\'e equation is presented. A relation between Pad\'e method and B\"acklund transformation of type E(1)6 is given.

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