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SUMMARY:Euler's summation of the factorial series and a class of continued
  fractions - Professor V. S. Varadarajan (UCLA)
DTSTART:20090422T150000Z
DTEND:20090422T163000Z
UID:TALK17970@talks.cam.ac.uk
CONTACT:Helen Innes
DESCRIPTION:Euler was the first mathematician to develop a systematic theo
 ry of  \ndivergent series\, anticipating by over hundred years summation  
 \nprocedures of Abel\, Borel\, and others. This talk discusses a type of  
 \nseries that is summable by Borel's method which in fact is what Euler  \
 ndid and obtained a continued fraction for its value. The continued  \nfra
 ctions are not the usual ones and have interested many\, including  \nRama
 nujan. The talk is based on joint work with Trond Digernes of  \nTrondheim
  University.
LOCATION:MR2
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