Asymptotic for A058797

Gerald McGarvey Gerald.McGarvey at comcast.net
Mon Dec 19 04:44:24 CET 2005


That is correct, see equation 75 near the bottom of the web page
http://mathworld.wolfram.com/BesselFunctionoftheFirstKind.html
Eric W. Weisstein. "Bessel Function of the First Kind." From MathWorld.

Gerald

At 07:12 PM 8/17/2005, Franklin T. Adams-Watters wrote:
>The entry for A058797 states that it is asymptotic to c*n!, with c=.224...
>I conjecture that c = BesselJ(0,2) = Sum (-1)^k/(k!)^2 = 0.223890779... 
>(A091681).
>--
>Franklin T. Adams-Watters
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