Twelfth Erdos Colloquium
Professor George E. Andrews *
The Pennsylvania State University
THE WORLD OF q — Orthogonal Polynomials and Bailey Chains
Abstract: This talk will introduce q-orthogonal polynomials and will begin with a brief (and I hope compelling) account of their background and history.
In 1975-76, Richard Askey and I extended the ideas of Wolfgang Hahn on orthogonal polynomials arising in the world of q. In a couple of papers, we established a variety of connection coefficient theorems from which various Rogers-Ramanujan identities followed.
In the early 1980's, the discovery of Bailey Chains and their iterative power led to a neglect of q-orthogonal polynomials. Recently the importance of their role has emerged again. The final portion of the talk will be devoted to an explanation of this re-emergence.
In a long and distinguished career spanning several decades, Professor Andrews has received numerous recognitions, including the Guggenheim Fellowship in 1982-82, the invitation to give the Hedrick Lectures for the Mathematical Association of America in 1980, the election to the American Academy of Arts and Sciences in 1997, the award of an Honorary Doctorate by the University of Florida in 2002, and the election to the National Academy of Sciences in 2004.
He is the current President of the American Mathematical Society.
Created Thursday, February 11, 2010.
Last update made Sat Feb 13 10:37:51 EST 2010.