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unusual facts about Orthogonal polynomials


Orthogonal polynomials

Some of the mathematicians who have worked on orthogonal polynomials include Gábor Szegő, Sergei Bernstein, Naum Akhiezer, Arthur Erdélyi, Yakov Geronimus, Wolfgang Hahn, Theodore Seio Chihara, Mourad Ismail, Waleed Al-Salam, and Richard Askey.


Chihara polynomials

In mathematics, Chihara polynomials may refer to one of the families of orthogonal polynomials studied by Theodore Seio Chihara, including

James A. Wilson

James Arthur Wilson is a mathematician working on special functions and orthogonal polynomials who introduced Wilson polynomials, Askey–Wilson polynomials and the Askey–Wilson beta integral.

Theodore Seio Chihara

Theodore Seio Chihara (born 1929) is a mathematician working on orthogonal polynomials who introduced Al-Salam–Chihara polynomials, Brenke–Chihara polynomials, and Chihara–Ismail polynomials


see also

Arthur Erdélyi

Erdélyi was primarily an expert in special functions, in particular, Lamé functions, hypergeometric functions and orthogonal polynomials.

Mourad Ismail

Mourad E. H. Ismail (born April 27, 1944, in Cairo, Egypt) is a mathematician working on orthogonal polynomials who introduced Al-Salam–Ismail polynomials, Chihara-Ismail polynomials and Rogers–Askey–Ismail polynomials.

Richard Askey

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.