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Re: Evaluation of AiryAi on the complex plane

  • To: mathgroup at smc.vnet.net
  • Subject: [mg44971] Re: Evaluation of AiryAi on the complex plane
  • From: David Wood <me at floyd.attbi.com>
  • Date: Thu, 11 Dec 2003 05:28:23 -0500 (EST)
  • References: <br6oss$2lg$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Mauricio Bedoya <mbedoya at tutopia.com> wrote:

> I'm in trouble evaluating the AiryAi function. I need to evaluate it
> around the point (11.18,0) or (11.18 + I 0.0). When I sweep the real
> axis there is no problem [1], it has a value of 2 10^-12 on all the
> range.

> But when I choose a range on a complex line [2], the function throws a
> 0 value on all the range.

The Airy functions are related to Bessel functions of order 1/3; have 
you tried this route to evaluating them? (I can't find a direct reference
at the moment, or I'd quote it for you.)
-- 
David M. Wood, Dept. of Physics, Colorado School of Mines, Golden, CO 80401 
Phone: (303) 273-3853; Fax: (303) 273-3919
http://www.mines.edu/Academic/physics/people/pages/wood.html


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