Analytic solutions of q-P(A 1) near its critical points.

Autor: Nalini Joshi, Pieter Roffelsen
Předmět:
Zdroj: Nonlinearity; Dec2016, Vol. 29 Issue 12, p1-1, 1p
Abstrakt: For transcendental functions that solve non-linear q-difference equations, the best descriptions available are the ones obtained by expansion near critical points at the origin and infinity. We describe such solutions of a q-discrete Painlevé equation, with seven parameters whose initial value space is a rational surface of type . The resultant expansions are shown to approach series expansions of the classical sixth Painlevé equation in the continuum limit. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index