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SUMMARY:An Update on Algebraic Hypergeometric Series (Remote)
DTSTART;VALUE=DATE-TIME:20211201T155000Z
DTEND;VALUE=DATE-TIME:20211201T164000Z
DTSTAMP;VALUE=DATE-TIME:20230603T151700Z
UID:indico-contribution-5971@indico.math.cnrs.fr
DESCRIPTION:Speakers: Maxim Kontsevich (IHES)\n\nAlgebraic hypergeometric
series in one variable were classified in 1989 by F. Beukers and G. Heckma
n\, in terms of finite complex reflection groups. Recently\, K. Penson obs
erved that one of such series is a generating series of a probability dens
ity with compact support\, given again by an algebraic function. Then toge
ther with N. Behr\, G. Duchamp and G. Koshevoy\, we found that this is a g
eneral phenomenon. The proof is an immediate application on an explicit in
tegral by Bateman and Erdélyi.The probability density is so called Meijer
’s G-function\, which the unique solution of the hypergeometric differen
tial equation with the pure ramification at point 1. I will speak about it
\, and also on the genus zero property of the corresponding planar algebra
ic curve.\n\nhttps://indico.math.cnrs.fr/event/7040/contributions/5971/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
RELATED-TO:indico-event-7040@indico.math.cnrs.fr
URL:https://indico.math.cnrs.fr/event/7040/contributions/5971/
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