# besk0e.f

          FUNCTION BESK0E (X)
    C***BEGIN PROLOGUE  BESK0E
    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      SINGLE 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 BESK0E(X) computes the exponentially scaled modified (hyperbolic)
    C Bessel function of third kind of order zero for real argument
    C X .GT. 0.0, i.e., EXP(X)*K0(X).
    C
    C Series for BK0        on the interval  0.          to  4.00000D+00
    C                                        with weighted error   3.57E-19
    C                                         log weighted error  18.45
    C                               significant figures required  17.99
    C                                    decimal places required  18.97
    C
    C Series for AK0        on the interval  1.25000D-01 to  5.00000D-01
    C                                        with weighted error   5.34E-17
    C                                         log weighted error  16.27
    C                               significant figures required  14.92
    C                                    decimal places required  16.89
    C
    C Series for AK02       on the interval  0.          to  1.25000D-01
    C                                        with weighted error   2.34E-17
    C                                         log weighted error  16.63
    C                               significant figures required  14.67
    C                                    decimal places required  17.20
    C
    C***REFERENCES  (NONE)
    C***ROUTINES CALLED  BESI0, 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  BESK0E