SLATEC Routines --- BESK0E ---

*DECK BESK0E
      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