Best-constant Stolarsky-mean approximation conjecture for the elliptic integral
Let r′=1−r2r^{\prime}=\sqrt{1-r^{2}}r′=1−r2. For p≠0p\neq 0p=0, let Sp,q(a,b)S_{p,q}(a,b)Sp,q(a,b) denote the Stolarsky mean, and let p0≈1.763135p_{0}\approx 1.763135p0≈1.763135 be the unique solution on (0,9/4](0,9/4](0,9/4] of … that is,…