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Limit of Bessel functions

  • To: mathgroup at yoda.physics.unc.edu
  • Subject: Limit of Bessel functions
  • From: lsf at holmes.astro.nwu.edu (Sam Finn)
  • Date: Mon, 27 Jan 92 12:04:38 CST

I am unable to get the Limit function to evaluate limits of Bessel functions:

Mathematica 2.0 for SPARC
Copyright 1988-91 Wolfram Research, Inc.
 -- Terminal graphics initialized -- 

In[1]:= Limit[BesselI[I + eps, 1],eps->0]              

Out[1]= Limit[BesselI[I + eps, 1], eps -> 0]

In[2]:= N[%]

Out[2]= Limit[BesselI[1. I + eps, 1.], eps -> 0]

In[3]:= Limit[BesselI[I + eps, 1],eps->0,Direction->-1]

Out[3]= Limit[BesselI[I + eps, 1], eps -> 0, Direction -> -1]

In[4]:= N[%]

Out[4]= Limit[BesselI[1. I + eps, 1.], eps -> 0, Direction -> -1.]

In[5]:= BesselI[I,1]

Out[5]= BesselI[I, 1]

In[6]:= N[%]

Out[6]= 1.9008 - 1.06396 I

Any suggestions?

Thanks

lsf at holmes.astro.nwu.edu





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