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