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A143296 Decimal expansion of the transcendental root c used to compute the Zolotarev-Schur constant. 1

%I #9 Aug 15 2015 10:01:15

%S 9,1,5,5,0,2,0,5,5,3,8,9,6,7,6,3,9,6,3,0,5,5,2,4,0,3,6,4,0,1,6,6,2,2,

%T 8,9,6,5,4,3,1,2,9,4,2,2,8,8,4,6,0,7,6,6,7,5,0,1,7,7,6,3,4,0,0,3,9,7,

%U 8,8,0,2,7,5,4,6,1,2,2,1,6,7,9,7,9,2,3,7,7,4,4,8,3,0,9,6,9,2,8,1,8,8,5,8,0

%N Decimal expansion of the transcendental root c used to compute the Zolotarev-Schur constant.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Zolotarev-SchurConstant.html">Zolotarev-Schur Constant</a>

%e 0.91550205538967639630...

%t c0 = c /. FindRoot[ EllipticE[c^2]^3 - 3*EllipticK[c^2]*EllipticE[c^2]^2 + (c^2 + 3*EllipticK[c^2]^2 + 1)* EllipticE[c^2] + EllipticK[c^2]*(c^2 - EllipticK[c^2]^2 - 1) == 0, {c, 9/10}, WorkingPrecision -> 110]; RealDigits[c0, 10, 105] // First (* _Jean-François Alcover_, Feb 07 2013, after _Eric W. Weisstein_ *)

%Y Cf. A143295.

%K nonn,cons

%O 0,1

%A _Eric W. Weisstein_, Aug 05 2008

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)