3 citations · 3 across the 2 of their papers we have counts for
4 papers
The family of confluent Virasoro fusion kernels and a non-polynomial -Askey scheme
Jonatan Lenells, Julien Roussillon
We study the recently introduced family of confluent Virasoro fusion kernels . We study their eigenfunction properties and show that they can b…
The Virasoro fusion kernel and Ruijsenaars' hypergeometric function
Julien Roussillon
We show that the Virasoro fusion kernel is equal to Ruijsenaars' hypergeometric function up to normalization. More precisely, we prove that the Virasoro fusion kernel is a joint ei…
Confluent Conformal Blocks of the Second Kind
Jonatan Lenells, Julien Roussillon
We construct confluent conformal blocks of the second kind of the Virasoro algebra. We also construct the Stokes transformations which map such blocks in one Stokes sector to anoth…
Irregular conformal blocks and connection formulae for Painlevé V functions
O. Lisovyy, H. Nagoya, J. Roussillon
We prove a Fredholm determinant and short-distance series representation of the Painlevé V tau function associated to generic monodromy data. Using a relation of to t…