[R] Error in besselJ(pi/2, 1E-15)?

Leo Mada |eo@m@d@ @end|ng |rom @yon|c@eu
Sun Dec 28 17:28:42 CET 2025


Dear R-Users,

besselJ(pi/2, 0)
# 0.4720012
besselJ(pi/2, 1E-14)
# 0.4720012
besselJ(pi/2, 1E-15)
# 4.720012e+14

There seems to be an error in besselJ(pi/2, eps), where eps is close to 0; although besselJ(pi/2, 0) is well behaved.

I am not an expert in the field - but it doesn't seem right.

Sincerely,

Leonard


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