login
Decimal expansion of the modified Struve L-function of order 0 at 1.
5

%I #11 Feb 20 2013 05:09:10

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

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

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

%N Decimal expansion of the modified Struve L-function of order 0 at 1.

%H Abramowitz and Stegun, <a href="http://people.math.sfu.ca/~cbm/aands/page_498.htm">Handbook of Mathematical Functions</a>, Chapter 12.2

%H Eric Weisstein, <a href="http://mathworld.wolfram.com/ModifiedStruveFunction.html">Modified Struve Function</a>, MathWorld

%F L_0(1) = sum_{k>=0} 1/(2*4^k*Gamma(3/2+k)^2) = (2/Pi)*sum_{k>=1} 1/A001818(k).

%e 0.710243185937890888738526...

%p StruveL(0,1); evalf(%) ;

%t RealDigits[ StruveL[0, 1], 10, 107] // First (* _Jean-François Alcover_, Feb 20 2013 *)

%K nonn,cons,easy

%O 0,1

%A _R. J. Mathar_, Oct 08 2011