Orthogonal Polynomials and Special Functions

Leuven 2002

Herausgegeben: Koelink, Erik; Van Assche, Walter
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OrthogonalPolynomialsandSpecialFunctions(OPSF)is a veryoldbranchof mathematics having a very rich history. Many famous mathematicians have contributed to the subject: Euler s work on the gamma function, Gauss s and Riemann s work onthe hypergeometricfunctions andthe hypergeometric di?erentialequation,Abel s andJacobi sworkonelliptic functions,andsoon. Usuallythespecialfunctionshavebeenintroducedto solveaspeci?cproblem, and many of them occurred in solving the di?erential equations describing a physical problem, e.g., the astronomerBessel introduced the functions named afterhiminhisworkonKepler...