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Some generating-function equivalences†
Published online by Cambridge University Press: 18 May 2009
Extract
A generalization is given of a theorem of F. Brafman [1] on the equivalence of generating relations for a certain sequence of functions. The main result, contained in Theorem 2 below, may be applied to several special functions including the classical orthogonal polynomials such as Hermite, Jacobi (and, of course, Legendre and ultraspherical), and Laguerre polynomials.
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- Copyright © Glasgow Mathematical Journal Trust 1975
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