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Darboux method

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1: 31.8 Solutions via Quadratures
ϵ = - m 3 + 1 2 , m 0 , m 1 , m 2 , m 3 = 0 , 1 , 2 , ,
the Hermite–Darboux method (see Whittaker and Watson (1927, pp. 570–572)) can be applied to construct solutions of (31.2.1) expressed in quadratures, as follows. …
2: 2.10 Sums and Sequences
§2.10(iv) Taylor and Laurent Coefficients: Darboux’s Method
However, if r is finite and f ( z ) has algebraic or logarithmic singularities on | z | = r , then Darboux’s method is usually easier to apply. … See also Flajolet and Odlyzko (1990).
3: Bibliography W
  • R. Wong and M. Wyman (1974) The method of Darboux. J. Approximation Theory 10 (2), pp. 159–171.
  • R. Wong and Y. Zhao (2005) On a uniform treatment of Darboux’s method. Constr. Approx. 21 (2), pp. 225–255.