116 research outputs found
Hypergeometric -Functions of the -Painlev\'e System of Type
We present the -functions for the hypergeometric solutions to the
-Painlev\'e system of type in a determinant formula whose
entries are given by the basic hypergeometric function . By using the
symmetry of the function , we construct a set of twelve
solutions and describe the action of on the set
Classical transcendental solutions of the Painlev\'e equations and their degeneration
We present a determinant expression for a family of classical transcendental
solutions of the Painlev\'e V and the Painlev\'e VI equation. Degeneration of
these solutions along the process of coalescence for the Painlev\'e equations
is discussed.Comment: 22 page
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