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单词 Conformal Map
释义

Conformal Map

A Transformation which preserves Angles is known as conformal. For a transformation to be conformal,it must be an Analytic Function and have a Nonzero Derivative. Let and be the tangentsto the curves and at and ,

(1)


(2)

Then as and ,
(3)


(4)

See also Analytic Function, Harmonic Function, Möbius Transformation,Quasiconformal Map, Similar


References

Arfken, G. ``Conformal Mapping.'' §6.7 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 392-394, 1985.

Bergman, S. The Kernel Function and Conformal Mapping. New York: Amer. Math. Soc., 1950.

Katznelson, Y. An Introduction to Harmonic Analysis. New York: Dover, 1976.

Morse, P. M. and Feshbach, H. ``Conformal Mapping.'' §4.7 in Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 358-362 and 443-453, 1953.

Nehari, Z. Conformal Map. New York: Dover, 1982.


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