OFFSET
0,1
COMMENTS
Minimum value of the first negative lobe of sinc(x), attained for abs(x) = A115365.
The involute of the unit circle which starts at (1,0) crosses the x-axis for the first time at x = 1/a. - Álvar Ibeas, Jul 28 2017
FORMULA
EXAMPLE
min[real x](sinc(x)) = -0.2172336282112216574082...
MATHEMATICA
digits = 105; NMinimize[ Sinc[x], x, WorkingPrecision -> digits+5] // First // RealDigits[#, 10, digits]& // First (* Jean-François Alcover, Mar 05 2013 *)
RealDigits[Sinc[BesselJZero[3/2, 1]], 10, 100][[1]] (* Vladimir Reshetnikov, May 13 2016 *)
PROG
(PARI) y=solve(x=4, 4.5, tan(x)-x); -sin(y)/y \\ Charles R Greathouse IV, Jun 10 2012
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Stanislav Sykora, Jun 09 2012
STATUS
approved