This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# MarcumQ

 MarcumQ gives Marcum's Q function . MarcumQgives Marcum's Q function .
• Mathematical function suitable for both symbolic and numerical evaluation.
• for real positive , , and .
• MarcumQ is an entire function of both a and b with no branch cut discontinuities.
• For a certain special argument, MarcumQ automatically evaluates to exact values.
• MarcumQ can be evaluated to arbitrary numerical precision.
• MarcumQ automatically threads over lists.
 Out[1]=
 Out[2]=
 Scope   (5)
Evaluate numerically:
Evaluate numerically for arbitrary order:
Evaluate for complex arguments:
Evaluate to arbitrary precision:
The precision of the output tracks the precision of the input:
 Applications   (2)
Amplitude of a signal is modeled by RiceDistribution. Find the probability that the amplitude will exceed its mean value:
Evaluate numerically:
Compare the value of the MarcumQ function for large arguments to its asymptotic formula:
Construct an approximation using the central limit theorem:
Evaluate numerically:
New in 8