In this paper we will study the irreducibility of q-P(A(6)), q-Painleve equation of type A(6)((1)), in the sense of order using the notion of decomposable extensions. q-Pd(A(6)) is one of the special non-linear q-difference equations of order 2 with symmetry (A(1) + A(1))((1)) and is also called q-P-II.
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Chuo Univ, Fac Sci & Engn, Dept Math, Bunkyo Ku, 1-13-27 Kasuga, Tokyo 1128551, JapanChuo Univ, Fac Sci & Engn, Dept Math, Bunkyo Ku, 1-13-27 Kasuga, Tokyo 1128551, Japan
Sasaki, Shoko
Takagi, Shun
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Chuo Univ, Fac Sci & Engn, Dept Math, Bunkyo Ku, 1-13-27 Kasuga, Tokyo 1128551, JapanChuo Univ, Fac Sci & Engn, Dept Math, Bunkyo Ku, 1-13-27 Kasuga, Tokyo 1128551, Japan
Takagi, Shun
Takemura, Kouichi
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Ochanomizu Univ, Dept Math, Bunkyo Ku, 2-1-1 Otsuka, Tokyo 1128610, JapanChuo Univ, Fac Sci & Engn, Dept Math, Bunkyo Ku, 1-13-27 Kasuga, Tokyo 1128551, Japan