SLATEC Routines --- BESK1E ---

*DECK BESK1E
      FUNCTION BESK1E (X)
C***BEGIN PROLOGUE  BESK1E
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      SINGLE 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 BESK1E(X) computes the exponentially scaled modified (hyperbolic)
C Bessel function of third kind of order one for real argument
C X .GT. 0.0, i.e., EXP(X)*K1(X).
C
C Series for BK1        on the interval  0.          to  4.00000D+00
C                                        with weighted error   7.02E-18
C                                         log weighted error  17.15
C                               significant figures required  16.73
C                                    decimal places required  17.67
C
C Series for AK1        on the interval  1.25000D-01 to  5.00000D-01
C                                        with weighted error   6.06E-17
C                                         log weighted error  16.22
C                               significant figures required  15.41
C                                    decimal places required  16.83
C
C Series for AK12       on the interval  0.          to  1.25000D-01
C                                        with weighted error   2.58E-17
C                                         log weighted error  16.59
C                               significant figures required  15.22
C                                    decimal places required  17.16
C
C***REFERENCES  (NONE)
C***ROUTINES CALLED  BESI1, 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  BESK1E