SIAM AG on Orthogonal Polynomials and Special Functions


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Umbral Calculus Workshop: MIT, April 22-23, 1996

In honor of Gian-Carlo Rota's 64th birthday, the RotaFest conference was organized by Richard Stanley, Neil White and Richard Ehrenborg at the Massachusetts Institute of Technology, Cambridge, Massachusetts, USA from April 17 to April 20, 1996.

A workshop on Umbral Calculus was held on April 22--23 as an addition to the RotaFest. The workshop was organized by Daniel Loeb, Nigel Ray and Alessandro Di Bucchianico with much support from Rotafest organizer Richard Stanley and secretarial staff of M.I.T.

The goal of this workshop was to give an overview of the development since Rota's seminal papers on the subject in the early seventies and to present new developments. Although Umbral Calculus is classified under combinatorics in the AMS classification, it has applications to several fields of mathematics, including special functions. We refer to Dynamic Survey 3 of the Electronic Journal of Combinatorics for more details.

Talks were delivered (in chronological order) by Brian Taylor, Marilena Barnabei, Heinrich Niederhausen, Luis Verde-Star, Jet Wimp, George Andrews, Mourad Ismail, Miguel Méndez, William Chen, Daniel Loeb, Ottavio D'Antona, Nigel Ray, Philip Feinsilver, Henryk Gzyl, Alessandro Di Bucchianico, and Jack Freeman. Below we will briefly summarize those talks related to orthogonal polynomials or special functions.

The workshop was attended by approximately 40 to 60 people.

Alessandro DiBucchianico


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