Richard Askey
Richard "Dick" Askey  

Richard Askey in 1977


Born 
St. Louis, Missouri 
June 4, 1933
Nationality  American 
Alma mater 
Washington University in St. Louis Harvard University Princeton University 
Known for 
Askey–Wilson polynomials Askey–Gasper inequality 
Scientific career  
Fields  mathematics 
Institutions 
University of Chicago University of Wisconsin–Madison 
Doctoral advisor  Salomon Bochner 
Doctoral students  James A. Wilson 
Richard "Dick" Allen Askey (born June 4, 1933) is an American mathematician, known for his expertise in the area of special functions. The Askey–Wilson polynomials (introduced by him in 1984 together with James A. Wilson) are on the top level of the (q)Askey scheme, which organizes orthogonal polynomials of (q)hypergeometric type into a hierarchy. The Askey–Gasper inequality for Jacobi polynomials is essential in de Brange's famous proof of the Bieberbach conjecture.
Askey earned a B.A. at Washington University in 1955, an M.A. at Harvard University in 1956, and a Ph.D. at Princeton University in 1961.^{[1]} After working as an instructor at Washington University (1958–1961) and University of Chicago (1961–1963), he joined the faculty of the University of Wisconsin–Madison in 1963 as an Assistant Professor of Mathematics. He became a full professor at Wisconsin in 1968, and since 2003 has been a professor emeritus.^{[2]} Askey was a Guggenheim Fellow, 1969–1970, which academic year he spent at the Mathematisch Centrum in Amsterdam. In 1983 he gave an invited lecture at the International Congress of Mathematicians (ICM)^{[3]} in Warszawa. He was elected a Fellow of the American Academy of Arts and Sciences in 1993.^{[4]} In 1999 he was elected to the National Academy of Sciences.^{[5]} In 2009 he became a fellow of the Society for Industrial and Applied Mathematics (SIAM).^{[6]} In 2012 he became a fellow of the American Mathematical Society.^{[7]} In December 2012 he received an honorary doctorate^{[8]} from SASTRA University in Kumbakonam, India.
Askey explained why hypergeometric functions appear so frequently in mathematical applications: "Riemann showed that the requirement that a differential equation have regular singular points at three given points and every other complex point is a regular point is so strong a restriction that the differential equation is the hypergeometric equation with the three singularities moved to the three given points. Differential equations with four or more singular points only infrequently have a solution which can be given explicitly as a series whose coefficients are known, or have an explicit integral representation. This partly explains why the classical hypergeometric function arises in many settings that seem to have nothing to do with each other. The differential equation they satisfy is the most general one of its kind that has solutions with many nice properties".^{[9]}
Askey is also very much involved with commenting and writing on mathematical education at American schools. A wellknown article by him on this topic is Good Intentions are not Enough.^{[10]}
Works
 Richard Askey, Orthogonal polynomials and special functions, SIAM, 1975.
 Richard Askey and James Wilson, "Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials", Memoirs of the American Mathematical Society, 54 (319): iv+55, 1985, doi:10.1090/memo/0319, ISBN 9780821823217, MR 0783216
 George E. Andrews, Richard Askey, and Ranjan Roy, Special functions, Encyclopedia of Mathematics and Its Applications, The University Press, Cambridge, 1999.^{[11]}
References
 ^ Richard Askey at the Mathematics Genealogy Project
 ^ Six Retirees Feted at Faculty and Staff Dinner, 2004 Van Vleck Notes
 ^ ICM Plenary and Invited Speakers
 ^ "Book of Members, 1780–2010: Chapter A" (PDF). American Academy of Arts and Sciences. Retrieved 25 April 2011.
 ^ Askey biography
 ^ SIAM Fellows: Class of 2009
 ^ List of Fellows of the American Mathematical Society, retrieved 20121103.
 ^ Honorary doctorates for Andrews, Askey and Berndt
 ^ Askey, R.; Koornwinder, T.H.; Schempp. W. (eds.). Special functions: group theoretical aspects and applications. Reidel. ISBN 1402003196.
 ^ Askey, R. (2001). Good intentions are not enough, in The Great Curriculum Debate: How Should We Teach Reading and Math?, T. Loveless (ed.), Brookings Institution Press, Ch. 8, pp. 163–183.
 ^ Wimp, J. (2000). "Special functions (review)". Bull. Amer. Math. Soc. 37: 499–510. doi:10.1090/s027309790000879x.
External links
 Personal web page.
 The Askeyscheme of hypergeometric polynomials and its qanalogue by Koekoek & Swarttouw
 Photo gallery on the occasion of Dick Askey's 80th.
 search on author Richard Askey from Google Scholar
 1933 births
 Members of the United States National Academy of Sciences
 20thcentury American mathematicians
 21stcentury American mathematicians
 Guggenheim Fellows
 Harvard University alumni
 Living people
 Mathematical analysts
 Princeton University alumni
 University of Wisconsin–Madison faculty
 Washington University in St. Louis alumni
 Baltimore City College alumni
 Fellows of the Society for Industrial and Applied Mathematics
 Fellows of the American Academy of Arts and Sciences
 Fellows of the American Mathematical Society