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20122026
most citedOn the algebraic independence of generic Painleve transcendents

15 citations · 40 across the 15 of their papers we have counts for

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math.LO2017★ 1 cited

Algebraic relations between solutions of Painlevé equations

James Freitag, Joel Nagloo

In this manuscript we make major progress classifying algebraic relations between solutions of Painlevé equations. Our main contribution is to establish the algebraic independence…

math.AG2017★ 3 cited

Algebraic Independence of generic Painlevé Transcendents: P_III and P_VI

Joel Nagloo

We prove that if y"=f(y,y',t) is a generic Painlevé equation from the class III and VI, and if y_1,...,y_n are distinct solutions, then y_1,y_1',...,y_n,y_n' are algebraically inde…