Spherical Couplings and Multiple Elliptic Integrals

Abstract

Various integrals over elliptic integrals are evaluated as couplings on spheres, resulting in some integral and series representations for the mathematical constants $\pi$, $G$ and $\zeta (3)$.

50 pages

References in corpus (2)

• Elliptic integral evaluations of Bessel moments
• Legendre Functions, Spherical Rotations, and Multiple Elliptic Integrals