Algebraic independence of generic Painleve transcendents: PIII and PVI

Nagloo, J

Nagloo, J (reprint author), CUNY Bronx Community Coll, Dept Math & Comp Sci, Bronx, NY 10453 USA.

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2020; 52 (1): 100

Abstract

We prove that if y ''=f(y,y ',t,alpha,beta,gamma,delta) is a generic Painleve equation from among the classes III and VI, and if y1, horizontal ellips......

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