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Question: BesselI and BesselK with imaginary arguments

Question:BesselI and BesselK with imaginary arguments

maplelearner 100
bessel
June 12 2013
0

Dear All,

 

I would like check with you about the real form of the functions following modified bessel functions.

BesselI(0,i*x) and BesselK(0,i*x), where i is the complex variable. IS there any real form to these functions in either BesselJ and BesselY. 

I come across the BesselJ(0,i*x)  = BesselI(0,x). However, I was not able to find the converse relation.

 

I have not seen the complex arguments of a BesselI and BesselJ functions. Is it acceptable.
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