besy1.f

      FUNCTION BESY1 (X)
C***BEGIN PROLOGUE  BESY1
C***PURPOSE  Compute the Bessel function of the second kind of order
C            one.
C***LIBRARY   SLATEC (FNLIB)
C***CATEGORY  C10A1
C***TYPE      SINGLE PRECISION (BESY1-S, DBESY1-D)
C***KEYWORDS  BESSEL FUNCTION, FNLIB, ORDER ONE, SECOND KIND,
C             SPECIAL FUNCTIONS
C***AUTHOR  Fullerton, W., (LANL)
C***DESCRIPTION
C
C BESY1(X) calculates the Bessel function of the second kind of
C order one for real argument X.
C
C Series for BY1        on the interval  0.          to  1.60000D+01
C                                        with weighted error   1.87E-18
C                                         log weighted error  17.73
C                               significant figures required  17.83
C                                    decimal places required  18.30
C
C Series for BM1        on the interval  0.          to  6.25000D-02
C                                        with weighted error   5.61E-17
C                                         log weighted error  16.25
C                               significant figures required  14.97
C                                    decimal places required  16.91
C
C Series for BTH1       on the interval  0.          to  6.25000D-02
C                                        with weighted error   4.10E-17
C                                         log weighted error  16.39
C                               significant figures required  15.96
C                                    decimal places required  17.08
C
C***REFERENCES  (NONE)
C***ROUTINES CALLED  BESJ1, CSEVL, INITS, R1MACH, XERMSG
C***REVISION HISTORY  (YYMMDD)
C   770401  DATE WRITTEN
C   890531  Changed all specific intrinsics to generic.  (WRB)
C   890531  REVISION DATE from Version 3.2
C   891214  Prologue converted to Version 4.0 format.  (BAB)
C   900315  CALLs to XERROR changed to CALLs to XERMSG.  (THJ)
C   900326  Removed duplicate information from DESCRIPTION section.
C           (WRB)
C***END PROLOGUE  BESY1