We give a survey on special polynomials associated with algebraic solutions of the sixth Painlevé equation, and formulate a conjecture regarding a combinatorial formula for Umemura polynomials associated with a class of algebraic solutions of P VI with two discrete parameters.
No takes yet. Share an insight, caveat, or question.
Masatoshi Noumi (2021) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: