besk0e.f
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