BESSELI, BESSELJ functions return inaccurate result

Question

BESSELI, BESSELJ functions return inaccurate result in compare to the results of other editors and libraries. For example results in excel:

=BESSELJ(1.9, 2) - 0.329925828669785

=BESSELI(1.5, 1) - 0.98166642847516605

But results in libreoffice, WolframAlpha and python scipy(https://docs.scipy.org/doc/scipy/reference/special.html) was different:

=BESSELJ(1.9, 2) - 0.329925727692387

=BESSELI(1.5, 1) - 0.9816664285779081

Why does the accuracy of the resulting differ and is this a bug or correct behaviour?

Answer 1

Hi @demosfen

The differences in the results across different applications from the varying numerical methods and precisions. It’s not a bug, but a reflection of how each tool handles the computation.

Similar thread: https://stackoverflow.com/questions/65592101/why-does-bessel-function-in-scipy-and-excel-give-different-results

Thanks for your understanding.

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