Functions > Special Functions > Bessel Functions > Modified (Hyperbolic) Bessel Functions
Modified (Hyperbolic) Bessel Functions
I0(z)—Returns the value of the zeroth order modified Bessel function of the first kind.
I1(z)—Returns the value of the first order modified Bessel function of the first kind.
In(m, z)—Returns the value of the mth order modified Bessel function of the first kind.
K0(z)—Returns the value of the zeroth order modified Bessel function of the second kind.
K1(z)—Returns the value of the first order modified Bessel function of the second kind.
Kn(m, z)—Returns the value of the mth order modified Bessel function of the second kind.
Scaled modified Bessels of the first kind have a scale factor of e−|Re(z)|. Scaled modified Bessels of the second kind have a scale factor of ez. Type sc as a literal subscript after the function name to specify the scaled function I0sc(z).
These functions, and their scaled versions, can be evaluated both numerically and symbolically.
Arguments
m is a real number.
z is a dimensionless complex scalar. For K0, K1, Kn and their scaled versions, z ≠ 0.
If both m and z are vectors, then they must be of equal lengths.