4 citations · 11 across the 14 of their papers we have counts for
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Painlevé IV and a third-order viewpoint
P. L. Robinson
We take a third-order approach to the fourth Painlevé equation and indicate the value of such an approach to other second-order ODEs in the Painlevé-Gambier list of 50.
Painlevé II transcendents and their squares
P. L. Robinson
We examine the relationship between the homogeneous second Painlevé equation and equation from the master list recorded by Ince.
Painlevé IV: roots and zeros
P. L. Robinson
We consider the (real) fourth Painlevé equation in which both parameters vanish, analyzing the square-roots of its solutions and paying special attention to their zeros.
Homogeneous Painlevé II transcendents
P. L. Robinson
We offer elementary proofs for fundamental properties of solutions to the homogeneous second Painlevé equation.
The triple-zero Painlevé I transcendent
P. L. Robinson
We offer elementary proofs for fundamental properties of the unique triple-zero solution to the first Painlevé equation.