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researcher

J. Roussillon

12 papers hereh-index 598 citations16 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author2
  • first author1
  • last author9

Across the 12 of 12 papers where every author was matched, so the position is known.

fields
  • math-ph5
  • hep-th4
  • math.CA2
  • nlin.SI1

identity via Semantic Scholar / OpenAlex

activity
20162026
most citedIrregular conformal blocks and connection formulae for Painlevé V functions

47 citations · 78 across the 12 of their papers we have counts for

collaborators
Showing 2020Show all

3 papers · 1 filter

math-ph2020

The family of confluent Virasoro fusion kernels and a non-polynomial q-Askey scheme

Jonatan Lenells, Julien Roussillon

We study the recently introduced family of confluent Virasoro fusion kernels Ck​(b,θ,σs​,ν). We study their eigenfunction properties and show that they can b…

hep-th2020★ 3 cited

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…

hep-th2020★ 3 cited

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…

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