2021/03/03 by Alves, V. C. C.
#33E05 #33E17 #34A34 #Classical Analysis and ODEs (math.CA) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences
paper · doi:10.48550/arxiv.2103.02697
The Painlevé equations are here connected to other classes of equations with the Painlevé Property (Ince's equations) by the same degeneracy procedure that connects the Painlevé equations (coalescence). These Ince's equations here are also connected among themselves like in the traditional Painlevé's coalescence cascade. Such degeneracy is considered also for the special equations, symmetric equations and Bäcklund transformations.