Type one Bessel function of Herz
Evaluates the type one Bessel function of Herz.
BesselA(m, x, nu)
m |
truncation weight of the summation, a positive integer |
x |
either a real or complex square matrix, or a numeric or complex vector, the eigenvalues of the matrix |
nu |
the order parameter, real or complex number with |
A real or complex number.
This function is usually defined for a symmetric real matrix or a Hermitian complex matrix.
A. K. Gupta and D. K. Nagar. Matrix variate distributions. Chapman and Hall, 1999.
# for a scalar x, the relation with the Bessel J-function: t <- 2 nu <- 3 besselJ(t, nu) BesselA(m=15, t^2/4, nu) * (t/2)^nu # it also holds for a complex variable: t <- 1 + 2i Bessel::BesselJ(t, nu) BesselA(m=15, t^2/4, nu) * (t/2)^nu
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