SLATEC Routines --- DBSK1E ---


*DECK DBSK1E
      DOUBLE PRECISION FUNCTION DBSK1E (X)
C***BEGIN PROLOGUE  DBSK1E
C***PURPOSE  Compute the exponentially scaled modified (hyperbolic)
C            Bessel function of the third kind of order one.
C***LIBRARY   SLATEC (FNLIB)
C***CATEGORY  C10B1
C***TYPE      DOUBLE PRECISION (BESK1E-S, DBSK1E-D)
C***KEYWORDS  EXPONENTIALLY SCALED, FNLIB, HYPERBOLIC BESSEL FUNCTION,
C             MODIFIED BESSEL FUNCTION, ORDER ONE, SPECIAL FUNCTIONS,
C             THIRD KIND
C***AUTHOR  Fullerton, W., (LANL)
C***DESCRIPTION
C
C DBSK1E(S) computes the double precision exponentially scaled
C modified (hyperbolic) Bessel function of the third kind of order
C one for positive double precision argument X.
C
C Series for BK1        on the interval  0.          to  4.00000E+00
C                                        with weighted error   9.16E-32
C                                         log weighted error  31.04
C                               significant figures required  30.61
C                                    decimal places required  31.64
C
C Series for AK1        on the interval  1.25000E-01 to  5.00000E-01
C                                        with weighted error   3.07E-32
C                                         log weighted error  31.51
C                               significant figures required  30.71
C                                    decimal places required  32.30
C
C Series for AK12       on the interval  0.          to  1.25000E-01
C                                        with weighted error   2.41E-32
C                                         log weighted error  31.62
C                               significant figures required  30.25
C                                    decimal places required  32.38
C
C***REFERENCES  (NONE)
C***ROUTINES CALLED  D1MACH, DBESI1, DCSEVL, INITDS, XERMSG
C***REVISION HISTORY  (YYMMDD)
C   770701  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***END PROLOGUE  DBSK1E