# besk1e.f

          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