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23 Weierstrass Elliptic and Modular FunctionsWeierstrass Elliptic Functions

§23.14 Integrals

23.14.1 (z)dz=-ζ(z),
23.14.2 2(z)dz=16(z)+112g2z,
23.14.3 3(z)dz=1120′′′(z)-320g2ζ(z)+110g3z.

For further integrals see Gröbner and Hofreiter (1949, Vol. 1, pp. 161–162), Gradshteyn and Ryzhik (2000, p. 622), and Prudnikov et al. (1990, pp. 51–52).