Analytic continuation

English

Noun

1. Template:Lb The practice of extending analytic functions.
   • 1968, [McGraw-Hill], Granino A. Korn, Theresa M. Korn, Mathematical Handbook for Scientists and Engineers, 2000, Dover, Unabridged republication, page 206,

     The standard method of analytic continuation starts with a function $f(z)$ defined by its power-series expansion (7.5-4) inside some circle $|z-a|=r$.

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2. Template:Lb An extension of an analytic function which is itself analytic.
   • 1975, S. Smith (translator), L. A. Muraveǐ Asymptotics for the Wave Equation, S. Smith (translator), Valentin P. Michaǐlov (editor), Boundary Value Problems for Differential Equations, Template:W, page 107,

     Using (2.6), (2.15)-(2.18) and (2.54) in the same way as in the cases considered earlier, we get that the series (0.14) determines the analytic continuation of the Green function of the second boundary value problem into the domain $K_B\cap \{|k|<\beta \}$ with the property (0.23).

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Translations

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