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Appell Transformation

An Appell transformation is a homographic transformation

x_1=(ax+by+c)/(a^('')x+b^('')y+c^(''))
(1)
y_1=(a^'x+b^'y+c^')/(a^('')x+b^('')y+c^(''))
(2)

with t_1 substituted for t according to

kdt_1=(dt)/((a^('')x+b^('')y+c^(''))^2).
(3)

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References

Hazewinkel, M. (Managing Ed.). Encyclopaedia of Mathematics: An Updated and Annotated Translation of the Soviet "Mathematical Encyclopaedia." Dordrecht, Netherlands: Reidel, pp. 210-211, 1988.

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Appell Transformation

Cite this as:

Weisstein, Eric W. "Appell Transformation." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/AppellTransformation.html

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