IMSL Fortran Math Special Functions Library
Chapter 6: Bessel Functions
Routines
Bessel Functions of Order 0 and 1,
Evaluates J0(x), BSJ0
Evaluates J1(x), BSJ1
Evaluates Y0(x), BSY0
Evaluates Y1(x), BSY1
Evaluates I0 (x), BSI0
Evaluates I1(x), BSI1
Evaluates K0(x), BSK0
Evaluates K1(x), BSK1
Evaluates e−|x|I0(x), BSI0E
Evaluates e−|x|I1(x), BSI1E
Evaluates exK0(x), BSK0E
Evaluates exK1(x), BSK1E
Series of Bessel Functions, Integer Order
Evaluates Jk(x), k = 0, …, n - 1, BSJNS
Evaluates Ik(x), k = 0, …, n - 1, BSINS
Series of Bessel Functions, Real Order and Argument
Evaluates Jν + k(x), k = 0, …, n - 1, BSJS
Evaluates Yν + k(x), k = 0, …, n - 1, BSYS
Evaluates Iν + k(x), k = 0, …, n - 1, BSIS
Evaluates exIν + k(x), k = 0, …, n - 1, BSIES
Evaluates Kν + k(x), k = 0, …, n - 1, BSKS
Evaluates exKν + k(x), k = 0, …, n - 1, BSKES
Series of Bessel Functions, Real Order and Complex Argument
Evaluates Jν + k(z), k = 0, …, n - 1, CBJS
Evaluates Yν + k(z), k = 0, …, n - 1, CBYS
Evaluates Iν + k(z), k = 0, …, n - 1, CBIS
Evaluates Kν + k(z), k = 0, …, n - 1, CBKS