gsl_sf_laguerre.h 1.9 KB

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  1. /* specfunc/gsl_sf_laguerre.h
  2. *
  3. * Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman
  4. *
  5. * This program is free software; you can redistribute it and/or modify
  6. * it under the terms of the GNU General Public License as published by
  7. * the Free Software Foundation; either version 3 of the License, or (at
  8. * your option) any later version.
  9. *
  10. * This program is distributed in the hope that it will be useful, but
  11. * WITHOUT ANY WARRANTY; without even the implied warranty of
  12. * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
  13. * General Public License for more details.
  14. *
  15. * You should have received a copy of the GNU General Public License
  16. * along with this program; if not, write to the Free Software
  17. * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
  18. */
  19. /* Author: G. Jungman */
  20. #ifndef __GSL_SF_LAGUERRE_H__
  21. #define __GSL_SF_LAGUERRE_H__
  22. #include "gsl_sf_result.h"
  23. #undef __BEGIN_DECLS
  24. #undef __END_DECLS
  25. #ifdef __cplusplus
  26. # define __BEGIN_DECLS extern "C" {
  27. # define __END_DECLS }
  28. #else
  29. # define __BEGIN_DECLS /* empty */
  30. # define __END_DECLS /* empty */
  31. #endif
  32. __BEGIN_DECLS
  33. /* L^a_n(x) = (a+1)_n / n! 1F1(-n,a+1,x) */
  34. /* Evaluate generalized Laguerre polynomials
  35. * using explicit representations.
  36. *
  37. * exceptions: none
  38. */
  39. int gsl_sf_laguerre_1_e(const double a, const double x, gsl_sf_result * result);
  40. int gsl_sf_laguerre_2_e(const double a, const double x, gsl_sf_result * result);
  41. int gsl_sf_laguerre_3_e(const double a, const double x, gsl_sf_result * result);
  42. double gsl_sf_laguerre_1(double a, double x);
  43. double gsl_sf_laguerre_2(double a, double x);
  44. double gsl_sf_laguerre_3(double a, double x);
  45. /* Evaluate generalized Laguerre polynomials.
  46. *
  47. * a > -1.0
  48. * n >= 0
  49. * exceptions: GSL_EDOM
  50. */
  51. int gsl_sf_laguerre_n_e(const int n, const double a, const double x, gsl_sf_result * result);
  52. double gsl_sf_laguerre_n(int n, double a, double x);
  53. __END_DECLS
  54. #endif /* __GSL_SF_LAGUERRE_H__ */