The core packages of the gospecfunc suite are written in pure Go. Installation is done using go get.
go get -u github.com/dreading/gospecfunc
Bessel and related functions:
| Function | Domain | Description |
|---|---|---|
| Ai | ℂ | Airy Ai function |
| Aix | ℂ | Exponentially scaled Airy Ai function |
| Aid | ℂ | First derivative of the Airy Ai function |
| Aidx | ℂ | Exponentially scaled first derivative of the Airy Ai function |
| Bi | ℂ | Biry Bi function |
| Bix | ℂ | Exponentially scaled Biry Bi function |
| Bid | ℂ | First derivative of the Biry Bi function |
| Bidx | ℂ | Exponentially scaled first derivative of the Biry Bi function |
| Gi | ℝ | Modified Airy Gi function |
| Hi | ℝ | Modified Airy Hi function |
| I | ℂ | Modified Bessel function of the first kind |
| J | ℂ | Bessel function of the first kind |
| K | ℂ | Modified Bessel function of the second kind |
| Y | ℂ | Bessel function of the second kind |
| H1 | ℂ | Hankel fucntion of of the first kind |
| H2 | ℂ | Hankel fucntion of of the second kind |
The error function and related functions:
| Function | Domain | Description |
|---|---|---|
| Erf | ℂ | Error function |
| Erfc | ℂ | Complementary error function 1 - Erf(ζ) |
| Erfcx | ℂ | Scaled complementary error function exp(ζ²) Erfc(ζ) |
| Erfi | ℂ | Imaginary error function -i erf(iζ) |
| Dawson | ℂ | Dawson's function. The one-sided Fourier–Laplace sine transform of the Gaussian function |
| Fresnel | ℂ | Cos and Sin Fresnel integrals |
| Voigt | ℝ | Real and imaginary Voigt functions 𝖴(x,t) and 𝖵(x,t) |
| Faddeyeva | ℂ | Plasma dispersion Faddeyeva function exp(-ζ²) Erfc(-iζ) |
Integrals of special functions and special integral functions:
| Function | Domain | Description |
|---|---|---|
| Abramowitz | ℝ | Abramowitz functions of order 0,1 and 2 |
| Clausen | ℝ | Clausen's integral |
| Debye | ℝ | Debye functions of order 1,2,3 and 4 |
| Goodst | ℝ | Goodst functions |
| Lobach | ℝ | Lobachewsky function |
| Strom | ℝ | Stromgren's integral |
| Synch | ℝ | Synchrotron radiation function or order 1 and 2 |
| Transport | ℝ | Transport integrals of order 2,3,4,5,6,7,8 and 9 |
| Struve | ℝ | Struve function of order 0 and 1 |
| StruveModified | ℝ | Modified Struve function of order 0 and 1 |
| AtnInt | ℝ | Inverse-tangent integral |
| Exp3 | ℝ | Exponential integral ∫ exp(-t³) dt |
| I0Int | ℝ | Integral of the modified Bessel function of the first kind order 0 |
| J0Int | ℝ | Integral of the Bessel function of the first kind order 0 |
| Y0Int | ℝ | Integral of the Bessel function of the second kind order 0 |
| K0Int | ℝ | Integral of the modified Bessel function of the second kind order 0 |
| AiInt | ℝ | Integral of the the Airy function Ai |
| BiInt | ℝ | Integral of the the Biry function Bi |
go test ./*/.
go test -bench=. ./*/.
Original code is licensed under the Gonum License found in the LICENSE file. Portions of the code are subject to the additional licenses found in THIRD_PARTY_LICENSES.