Using Gronwall's area formula and conformal maps, the paper re-derives areas of circles, ellipses, and m-leaf lemniscates, and states an orthonormality relation for Chebyshev polynomials of the second kind on an ellipse.
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Counting methods of area integrals and Tchebychev polynomials of second kind on the ellipse
Using Gronwall's area formula and conformal maps, the paper re-derives areas of circles, ellipses, and m-leaf lemniscates, and states an orthonormality relation for Chebyshev polynomials of the second kind on an ellipse.