---
name: "PDL::GSLSF::COULOMB"
section: "3pm"
platform: "linux"
package: "pdl"
version: "1:2.081-2"
release: "Debian 12 (Bookworm)"
platforms: ["linux"]
url: "https://new.carta.tech/PDL::GSLSF::COULOMB"
---

# PDL::GSLSF::COULOMB(3pm)

PDL interface to GSL Special Functions

## NAME

PDL::GSLSF::COULOMB - PDL interface to GSL Special Functions

## DESCRIPTION

This is an interface to the Special Function package present in the GNU Scientific Library.

## SYNOPSIS

## FUNCTIONS

### gsl\_sf\_hydrogenicR

```
  Signature: (double x(); double [o]y(); double [o]e(); int n; int l; double z)
```

Normalized Hydrogenic bound states. Radial dipendence.

gsl\_sf\_hydrogenicR does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.

### gsl\_sf\_coulomb\_wave\_FGp\_array

```
  Signature: (double x(); double [o]fc(n); double [o]fcp(n); double [o]gc(n); double [o]gcp(n); int [o]ovfw(); double [o]fe(n); double [o]ge(n); double lam_min; int kmax=>n; double eta)
```

```
 Coulomb wave functions F_{lam_F}(eta,x), G_{lam_G}(eta,x) and their derivatives; lam_G := lam_F - k_lam_G. if ovfw is signaled then F_L(eta,x)  =  fc[k_L] * exp(fe) and similar.
```

gsl\_sf\_coulomb\_wave\_FGp\_array does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.

### gsl\_sf\_coulomb\_wave\_sphF\_array

```
  Signature: (double x(); double [o]fc(n); int [o]ovfw(); double [o]fe(n); double lam_min; int kmax=>n; double eta)
```

```
 Coulomb wave function divided by the argument, F(xi, eta)/xi. This is the function which reduces to spherical Bessel functions in the limit eta->0.
```

gsl\_sf\_coulomb\_wave\_sphF\_array does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.

### gsl\_sf\_coulomb\_CL\_e

```
  Signature: (double L(); double eta();  double [o]y(); double [o]e())
```

Coulomb wave function normalization constant. \[Abramowitz+Stegun 14.1.8, 14.1.9\].

gsl\_sf\_coulomb\_CL\_e does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.

## AUTHOR

This file copyright (C) 1999 Christian Pellegrin \<chri@infis.univ.trieste.it\> All rights reserved. There is no warranty. You are allowed to redistribute this software / documentation under certain conditions. For details, see the file COPYING in the PDL distribution. If this file is separated from the PDL distribution, the copyright notice should be included in the file.

The GSL SF modules were written by G. Jungman.