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SUMMARY:Vladimir Rubtsov (Université d'Angers)
DTSTART:20251022T162000Z
DTEND:20251022T180000Z
DTSTAMP:20260423T010529Z
UID:GDEq/142
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/142/">K
 ällén function and around. Part 1</a>\nby Vladimir Rubtsov (Université 
 d'Angers) as part of Geometry of differential equations seminar\n\nLecture
  held in room 303 of the Independent University of Moscow.\n\nAbstract\nTh
 ere are elementary functions that turn out to be ubiquitous. The Källén
  function is one of them. Of course\, it is incomparably less well-known t
 han the exponential function (although\, in a certain sense\, it is relate
 d to it).\n\nOriginally arising in "school-textbooks" mathematics\, the K
 ällén function was later "rediscovered" by physicists in the context of 
 scattering amplitude calculations. It is directly connected with the famou
 s combinatorial generating functions (for the Catalan numbers)\, appears i
 n the study of solutions of classical ODEs\, and is related to the general
 ized hypergeometric functions of Appell and Kampé de Fériet as well as t
 o properties of discriminants.\n\nI will try to tell some stories around o
 f this remarkable function.\n
LOCATION:https://researchseminars.org/talk/GDEq/142/
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