Applications
We conclude by giving two examples of classes of problems that can be solved by using expansions in series of Appell polynomials or generalized Appell polynomials.
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Although the general expansion theory of Hermite and Laguerrc polynomials has not been discussed by our methods, we summarizc the results here for reference 1 • A necessary and suflicient condition for the analytic function f (z) to be representcd by a convergent series of the Hermite polynomials [§ 9, (iii)] t"n the strip jyj
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