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In mathematics, Weisner's method is a method for finding generating functions for special functions using representation theory of Lie groups and Lie algebras, introduced by Weisner (1955). It includes Truesdall's method as a special case, and is essentially the same as Rainville's method.
References

McBride, Elna Browning (1971), Obtaining generating functions, Springer Tracts in Natural Philosophy, 21, Berlin, New York: Springer-Verlag, ISBN 978-0-387-05255-7, MR0279355
Weisner, Louis (1955), "Group-theoretic origin of certain generating functions", Pacific Journal of Mathematics 5: 1033–1039, ISSN 0030-8730, MR0086905

Mathematics Encyclopedia