Geodesic
Some generating-function equivalences†
Glasgow mathematical journal, Tome 16 (1975) no. 1, pp. 34-39

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Srivastava, H. M. Some generating-function equivalences†. Glasgow mathematical journal, Tome 16 (1975) no. 1, pp. 34-39. doi: 10.1017/S0017089500002482
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[1] 1.Brafman, F., Generating functions and associated Legendre polynomials, Quart. J. Math. (Oxford) (2) 10 (1959), 156–160. Google Scholar

[2] 2.Krall, H. L. and Frink, O., A new class of orthogonal polynomials: The Bessel polynomials, Trans. Amer. Math. Soc. 65 (1949), 100–115. Google Scholar | DOI

[3] 3.Whittaker, E. T. and Watson, G. N., A Course of Modern Analysis,Fourth edition (Cambridge, 1963). Google Scholar

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