Elliptic integral functions
The functions named in the title of this chapter have attracted the interest of several famous mathematicians, among them Abel, Euler, Gauss, Hermite, Jacobi, Kronecker, Lagrange, Legendre, Ramanujan, Riemann, and Weierstrass. Their properties are well-chronicled in several books, including [AS64, Chapter 17], [Law89], [OLBC10, Chapter 19], [Wal96], [Wei99], [GRJZ07, §8.1], and [JD08, Chapter 12], with extensive tables of properties and integrals of related functions in [BF71].
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