# dbsk0e.f

          DOUBLE PRECISION FUNCTION DBSK0E (X)
    C***BEGIN PROLOGUE  DBSK0E
    C***PURPOSE  Compute the exponentially scaled modified (hyperbolic)
    C            Bessel function of the third kind of order zero.
    C***LIBRARY   SLATEC (FNLIB)
    C***CATEGORY  C10B1
    C***TYPE      DOUBLE PRECISION (BESK0E-S, DBSK0E-D)
    C***KEYWORDS  EXPONENTIALLY SCALED, FNLIB, HYPERBOLIC BESSEL FUNCTION,
    C             MODIFIED BESSEL FUNCTION, ORDER ZERO, SPECIAL FUNCTIONS,
    C             THIRD KIND
    C***AUTHOR  Fullerton, W., (LANL)
    C***DESCRIPTION
    C
    C DBSK0E(X) computes the double precision exponentially scaled
    C modified (hyperbolic) Bessel function of the third kind of
    C order zero for positive double precision argument X.
    C
    C Series for BK0        on the interval  0.          to  4.00000E+00
    C                                        with weighted error   3.08E-33
    C                                         log weighted error  32.51
    C                               significant figures required  32.05
    C                                    decimal places required  33.11
    C
    C Series for AK0        on the interval  1.25000E-01 to  5.00000E-01
    C                                        with weighted error   2.85E-32
    C                                         log weighted error  31.54
    C                               significant figures required  30.19
    C                                    decimal places required  32.33
    C
    C Series for AK02       on the interval  0.          to  1.25000E-01
    C                                        with weighted error   2.30E-32
    C                                         log weighted error  31.64
    C                               significant figures required  29.68
    C                                    decimal places required  32.40
    C
    C***REFERENCES  (NONE)
    C***ROUTINES CALLED  D1MACH, DBESI0, 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  DBSK0E