# dbsk1e.f

          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