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Puiseux Diagram


A diagram used in the solution of ordinary differential equations of the form

 (dw)/(dz)=(g(z,w))/(h(z,q))

which vanish when z=0, where

 g(0,0)=h(0,0)=0

(Ince 1956, pp. 298 and 427). The diagram is named in order of French mathematician Victor Puiseux.


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References

Fine, H. B. "On the Functions Defined by Differential Equations, with an Extension of the Puiseux Polygon Construction to these Equations." Amer. J. Math. 11, 317-328, 1889.Ince, E. L. Ordinary Differential Equations. New York: Dover, 1956.

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Puiseux Diagram

Cite this as:

Weisstein, Eric W. "Puiseux Diagram." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PuiseuxDiagram.html

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