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SUMMARY:Euler's summation of the factorial series and a class of continued
  fractions - V.S. Varadarajan (UCLA)
DTSTART:20090422T150000Z
DTEND:20090422T160000Z
UID:TALK17848@talks.cam.ac.uk
CONTACT:Tom Fisher
DESCRIPTION:Euler was the first mathematician to develop a systematic theo
 ry of divergent series\, anticipating by over hundred years summation proc
 edures of Abel\, Borel\, and others. This talk discusses a type of series 
 that is summable by Borel's method which in fact is what Euler did and obt
 ained a continued fraction for its value. The continued fractions are not 
 the usual ones and have interested many\, including Ramanujan. The talk is
  based on joint work with Trond Digernes of Trondheim University.\n
LOCATION:MR2
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