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.