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DTSTART:20190101T000000
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BEGIN:VEVENT
DTSTART;TZID=UTC:20201201T163000
DTEND;TZID=UTC:20201201T173000
DTSTAMP:20211006T061730Z
CREATED:20211006T061730Z
LAST-MODIFIED:20211006T061730Z
UID:20083-1606840200-1606843800@www.ashoka.edu.in
SUMMARY:Ramanujan’s $_1\psi_1$ sum
DESCRIPTION:Abstract: It is now a hundred years since Ramanujan passed away. In his lifetime\,he wrote his results in a few notebooks\, and it has taken nearly a hundred years for mathematicians to prove all his results. We know him as one of the greatest geniuses this world has seen; but how many of his results do you know? In the first\ntalk in the Ashoka Mathematics Colloquium this year\, I presented a few of his continued fraction results. The purpose of this talk is to present another result of Ramanujan. This result generalizes Jacobi’s triple identity and simultaneously the Beta integral. We present a proof due to Mourad Ismail which has been described as\nthe “Proof from the Book” for this result. We also show some classical identities which follow from his identity. Much of the material we present is taken from the lectures on Special Functions given by Dick Askey.
URL:https://www.ashoka.edu.in/event/ramanujans-_1psi_1-sum/
CATEGORIES:Online Event
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