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SUMMARY:A non-hypergeometric E-function
DTSTART:20200227T151500
DTEND:20200227T163000
DTSTAMP:20260407T084715Z
UID:3a5c7f6f49091567df4015eedab91d0774b83a247ebb9400265f6bc1
CATEGORIES:Conferences - Seminars
DESCRIPTION:Peter Jossen (ETHZ)\nWith the objective of generalising the tr
 anscendence theorems for values of the exponential function by Hermite\, L
 indemann\, and Weierstrass\, Siegel introduced in 1929 a class of entire f
 unctions which he calls E-functions. These E-functions form a C[z]-algebra
 \, which contains all confluent hypergeometric functions. Siegel asked whe
 ther hypergeometric functions generate the whole algebra of E-functions. W
 e show that the answer to Siegel's question is negative\, by means of an e
 xplicit example of an E-function which is not a polynomial expression of h
 ypergeometric functions. [Joint work in progress with J. Fresan]
LOCATION:MA A3 31 https://plan.epfl.ch/?room==MA%20A3%2031
STATUS:CONFIRMED
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