 
      FUNCTION BESI1E(X)
C***BEGIN PROLOGUE  BESI1E
C***DATE WRITTEN   770401   (YYMMDD)
C***REVISION DATE  820801   (YYMMDD)
C***CATEGORY NO.  C10B1
C***KEYWORDS  BESSEL FUNCTION,EXPONENTIALLY SCALED,FIRST KIND,
C             HYPERBOLIC BESSEL FUNCTION,MODIFIED BESSEL FUNCTION,
C             ORDER ONE
C***AUTHOR  FULLERTON, W., (LANL)
C***PURPOSE  Computes the exponentially scaled hyperbolic Bessel
C            function of the first kind of order one.
C***DESCRIPTION
C
C BESI1E(X) calculates the exponentially scaled modified (hyperbolic)
C Bessel function of the first kind of order one for real argument X;
C i.e., EXP(-ABS(X))*I1(X).
C
C Series for BI1        on the interval  0.          to  9.00000D+00
C                                        with weighted error   2.40E-17
C                                         log weighted error  16.62
C                               significant figures required  16.23
C                                    decimal places required  17.14
C
C Series for AI1        on the interval  1.25000D-01 to  3.33333D-01
C                                        with weighted error   6.98E-17
C                                         log weighted error  16.16
C                               significant figures required  14.53
C                                    decimal places required  16.82
C
C Series for AI12       on the interval  0.          to  1.25000D-01
C                                        with weighted error   3.55E-17
C                                         log weighted error  16.45
C                               significant figures required  14.69
C                                    decimal places required  17.12
C***REFERENCES  (NONE)
C***ROUTINES CALLED  CSEVL,INITS,R1MACH,XERROR
C***END PROLOGUE  BESI1E
 
 
