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Beltrami Differential Equation


For a measurable function mu, the Beltrami differential equation is given by

 f_(z^_)=muf_z,

where f_z is a partial derivative and z^_ denotes the complex conjugate of z.


See also

Quasiconformal Map

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References

Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 1087, 1980.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 137, 1997.

Referenced on Wolfram|Alpha

Beltrami Differential Equation

Cite this as:

Weisstein, Eric W. "Beltrami Differential Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BeltramiDifferentialEquation.html

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