Abstract
General remarks. Any integral of the type ∫ R \(\left( {z,{Z^{\frac{1}{2}}}} \right)\) is a rational function of x and y and Z is a polynomial of the third or fourth degree in z with real coefficients and no repeated factors is called an elliptic integral.
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© 1966 Springer-Verlag Berlin Heidelberg
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Magnus, W., Oberhettinger, F., Soni, R.P. (1966). Elliptic integrals, theta functions and elliptic functions. In: Formulas and Theorems for the Special Functions of Mathematical Physics. Die Grundlehren der mathematischen Wissenschaften, vol 52. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11761-3_10
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DOI: https://doi.org/10.1007/978-3-662-11761-3_10
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