1 files changed, 92 insertions, 0 deletions
diff --git a/gsl-1.9/specfunc/bessel.h b/gsl-1.9/specfunc/bessel.h
new file mode 100644
index 0000000..94f6d31
--- /dev/null
+++ b/gsl-1.9/specfunc/bessel.h
@@ -0,0 +1,92 @@
+/* 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 2 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/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_ */