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A263495 Decimal expansion of the generalized hypergeometric function 3F2(3/2, 3/2, 3/2; 2, 2; x) at x=1/4. 1

%I #6 Apr 10 2016 05:51:16

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

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

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

%N Decimal expansion of the generalized hypergeometric function 3F2(3/2, 3/2, 3/2; 2, 2; x) at x=1/4.

%C Multiplication with Pi^2/64 gives 0.195844.. = integral_{x=0..infinity} x*I_1(x)*K_0(x)^2 dx, where I and K are Modified Bessel Functions.

%e 1.269967377650739760560600...

%t RealDigits[HypergeometricPFQ[{3/2, 3/2, 3/2}, {2, 2}, 1/4], 10, 120][[1]] (* _Vaclav Kotesovec_, Apr 10 2016 *)

%K cons,nonn

%O 1,2

%A _R. J. Mathar_, Oct 19 2015

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Last modified June 20 06:40 EDT 2024. Contains 373512 sequences. (Running on oeis4.)