Numerical evaluation of modified Bessel equation

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SUMMARY

The discussion centers on the use of the Mathematica function BesselK[0,x], which computes the modified Bessel function K_0 at a given real argument x. The user inquired about the availability of public documentation detailing the algorithm behind this function. They expressed a preference for algorithms that do not rely on integral expressions. Ultimately, the user resolved their query independently.

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  • Research the implementation details of BesselK in Mathematica
  • Explore alternative algorithms for computing modified Bessel functions
  • Study numerical methods for evaluating special functions
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Morberticus
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Not sure if this is the right place. Mathematica has a function BesselK[0,x] that returns the value of the modified Bessel function K_0 at x. Is there public documentation of how this algorithm works? If not, is there documentation regarding any algorithm of K_0? I am hoping it doesn't involve one of the integral expressions. The argument ,x, in my case is real.

Thanks
 
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Morberticus said:
Not sure if this is the right place. Mathematica has a function BesselK[0,x] that returns the value of the modified Bessel function K_0 at x. Is there public documentation of how this algorithm works? If not, is there documentation regarding any algorithm of K_0? I am hoping it doesn't involve one of the integral expressions. The argument ,x, in my case is real.

Thanks

Answered my own question. Sorry for the spam.
 

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