Functions > Special Functions > Bessel Functions > Bessel Functions of the First and Second Kinds
Bessel Functions of the First and Second Kinds
J0(z)—Returns the value of the zeroth order Bessel function of the first kind.
J1(z)—Returns the value of the first order Bessel function of the first kind.
Jn(m, z)—Returns the value of the mth order Bessel function of the first kind.
Y0(z)—Returns the value of the zeroth order Bessel function of the second kind.
Y1(z)—Returns the value of the first order Bessel function of the second kind.
Yn(m, z)—Returns the value of the mth order Bessel function of the second kind.
The scaled versions have a scale factor of e−|Im(z)|. Type sc as a literal subscript after the function name to specify the scaled function J0sc(z).
These functions, and their scaled versions, can be evaluated both numerically and symbolically.
Arguments
m is a real number or vector.
z is a dimensionless complex scalar or vector. For Y0, Y1, Yn and their scaled versions, z ≠ 0.
If both m and z are vectors, then they must be of equal lengths.