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- /* specfunc/gsl_sf_psi.h
- *
- * Copyright (C) 1996, 1997, 1998, 1999, 2000, 2004 Gerard Jungman
- *
- * This program is free software; you can redistribute it and/or modify
- * it under the terms of the GNU General Public License as published by
- * the Free Software Foundation; either version 3 of the License, or (at
- * your option) any later version.
- *
- * This program is distributed in the hope that it will be useful, but
- * WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- * General Public License for more details.
- *
- * You should have received a copy of the GNU General Public License
- * along with this program; if not, write to the Free Software
- * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
- */
- /* Author: G. Jungman */
- #ifndef __GSL_SF_PSI_H__
- #define __GSL_SF_PSI_H__
- #include "gsl_sf_result.h"
- #undef __BEGIN_DECLS
- #undef __END_DECLS
- #ifdef __cplusplus
- # define __BEGIN_DECLS extern "C" {
- # define __END_DECLS }
- #else
- # define __BEGIN_DECLS /* empty */
- # define __END_DECLS /* empty */
- #endif
- __BEGIN_DECLS
- /* Poly-Gamma Functions
- *
- * psi(m,x) := (d/dx)^m psi(0,x) = (d/dx)^{m+1} log(gamma(x))
- */
- /* Di-Gamma Function psi(n) = psi(0,n)
- *
- * n > 0
- * exceptions: GSL_EDOM
- */
- int gsl_sf_psi_int_e(const int n, gsl_sf_result * result);
- double gsl_sf_psi_int(const int n);
- /* Di-Gamma Function psi(x) = psi(0, x)
- *
- * x != 0.0, -1.0, -2.0, ...
- * exceptions: GSL_EDOM, GSL_ELOSS
- */
- int gsl_sf_psi_e(const double x, gsl_sf_result * result);
- double gsl_sf_psi(const double x);
- /* Di-Gamma Function Re[psi(1 + I y)]
- *
- * exceptions: none
- */
- int gsl_sf_psi_1piy_e(const double y, gsl_sf_result * result);
- double gsl_sf_psi_1piy(const double y);
- /* Di-Gamma Function psi(z) for general complex argument z = x + iy
- *
- * exceptions: GSL_EDOM
- */
- int gsl_sf_complex_psi_e(
- const double x,
- const double y,
- gsl_sf_result * result_re,
- gsl_sf_result * result_im
- );
- /* Tri-Gamma Function psi^(1)(n)
- *
- * n > 0
- * exceptions: GSL_EDOM
- */
- int gsl_sf_psi_1_int_e(const int n, gsl_sf_result * result);
- double gsl_sf_psi_1_int(const int n);
- /* Tri-Gamma Function psi^(1)(x)
- *
- * x != 0.0, -1.0, -2.0, ...
- * exceptions: GSL_EDOM, GSL_ELOSS
- */
- int gsl_sf_psi_1_e(const double x, gsl_sf_result * result);
- double gsl_sf_psi_1(const double x);
- /* Poly-Gamma Function psi^(n)(x)
- *
- * n >= 0, x > 0.0
- * exceptions: GSL_EDOM
- */
- int gsl_sf_psi_n_e(const int n, const double x, gsl_sf_result * result);
- double gsl_sf_psi_n(const int n, const double x);
- __END_DECLS
- #endif /* __GSL_SF_PSI_H__ */
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