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Chapter 15: Coefficients of a power series. Darboux's method

      https://doi.org/10.1142/9789814612166_0015Cited by:0 (Source: Crossref)
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      Abstract:

      A generating function for a special function Fn(z) usually has the form of the convergent series

      The radius of convergence may be finite or infinite, and may depend on the variable z. The classical orthogonal polynomials, and many other special functions, have such a generating function. For example, the Laguerre polynomials satisfy the relation
      …

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