API Reference for Complex_Bessel
We here describe the functions that are accessible to the user of Complex_Bessel.
Bessel Functions
| besselJ(n,z) | Bessel function of the first kind and real order n. |
| besselY(n,z) | Bessel function of the second kind and real order n. |
| besselI(n,z) | Modified Bessel function of the first kind and real order n. |
| besselK(n,z) | Modified Bessel function of the second kind and real order n. |
| hankelH1(n,z) | Hankel function of the first kind and integer real n. |
| hankelH2(n,z) | Hankel function of the second kind and integer real n. |
Derivatives of Bessel Functions
| besselJp(n,z[, m]) | mth derivative of the Bessel function of the first kind and real order n. |
| besselYp(n,z[, m]) | mth derivative of the Bessel function of the second kind and real order n. |
| besselIp(n,z[, m]) | mth derivative of the modified Bessel function of the first kind and real order n. |
| besselKp(n,z[, m]) | mth derivative of the modified Bessel function of the second kind and real order n. |
| hankelH1p(n,z[, m]) | mth derivative of the Hankel function of the first kind and real order n. |
| hankelH2p(n,z[, m]) | mth derivative of the Hankel function of the second kind and real order n. |
Spherical Bessel Functions
| sph_besselJ(n,z) | Spherical Bessel function of the first kind and real order n. |
| sph_besselY(n,z) | Spherical Bessel function of the second kind and real order n. |
| sph_hankelH1(n,z) | Spherical Hankel function of the first kind and integer real n. |
| sph_hankelH2(n,z) | Spherical Hankel function of the second kind and integer real n. |
Airy Functions
| airy(z) | Airy function of the first kind. |
| airyp(z) | First derivative of the Airy function of the first kind. |
| biry(z) | Airy function of the second kind. |
| biryp(z) | First derivative of the Airy function of the first kind. |