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- /* specfunc/bessel.h
- *
- * Copyright (C) 1996, 1997, 1998, 1999, 2000 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 _BESSEL_H_
- #define _BESSEL_H_
- #include "gsl_sf_result.h"
- /* Taylor expansion for J_nu(x) or I_nu(x)
- * sign = -1 ==> Jnu
- * sign = +1 ==> Inu
- */
- int gsl_sf_bessel_IJ_taylor_e(const double nu, const double x,
- const int sign,
- const int kmax,
- const double threshold,
- gsl_sf_result * result
- );
- int gsl_sf_bessel_Jnu_asympx_e(const double nu, const double x, gsl_sf_result * result);
- int gsl_sf_bessel_Ynu_asympx_e(const double nu, const double x, gsl_sf_result * result);
- int gsl_sf_bessel_Inu_scaled_asympx_e(const double nu, const double x, gsl_sf_result * result);
- int gsl_sf_bessel_Knu_scaled_asympx_e(const double nu, const double x, gsl_sf_result * result);
- int gsl_sf_bessel_Inu_scaled_asymp_unif_e(const double nu, const double x, gsl_sf_result * result);
- int gsl_sf_bessel_Knu_scaled_asymp_unif_e(const double nu, const double x, gsl_sf_result * result);
- /* ratio = J_{nu+1}(x) / J_nu(x)
- * sgn = sgn(J_nu(x))
- */
- int
- gsl_sf_bessel_J_CF1(const double nu, const double x, double * ratio, double * sgn);
- /* ratio = I_{nu+1}(x) / I_nu(x)
- */
- int
- gsl_sf_bessel_I_CF1_ser(const double nu, const double x, double * ratio);
- /* Evaluate the Steed method continued fraction CF2 for
- *
- * (J' + i Y')/(J + i Y) := P + i Q
- */
- int
- gsl_sf_bessel_JY_steed_CF2(const double nu, const double x,
- double * P, double * Q);
- int
- gsl_sf_bessel_JY_mu_restricted(const double mu, const double x,
- gsl_sf_result * Jmu, gsl_sf_result * Jmup1,
- gsl_sf_result * Ymu, gsl_sf_result * Ymup1);
- int
- gsl_sf_bessel_K_scaled_steed_temme_CF2(const double nu, const double x,
- double * K_nu, double * K_nup1,
- double * Kp_nu);
- /* These are of use in calculating the oscillating
- * Bessel functions.
- * cos(y - pi/4 + eps)
- * sin(y - pi/4 + eps)
- */
- int gsl_sf_bessel_cos_pi4_e(double y, double eps, gsl_sf_result * result);
- int gsl_sf_bessel_sin_pi4_e(double y, double eps, gsl_sf_result * result);
- #endif /* !_BESSEL_H_ */
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