BESK0E(3)

SYNOPSIS
FUNCTION BESK0E (X)

NAME
besk0e - Compute the exponentially scaled modified (hyperbolic) Bessel function of the third kind of order zero.

LIBRARY
SLATEC (FNLIB)

CATEGORY
C10B1

TYPE
SINGLE PRECISION (BESK0E-S, DBSK0E-D)

KEYWORDS
EXPONENTIALLY SCALED, FNLIB, HYPERBOLIC BESSEL FUNCTION, MODIFIED BESSEL FUNCTION, ORDER ZERO, SPECIAL FUNCTIONS, THIRD KIND

AUTHOR
Fullerton, W., (LANL)

DESCRIPTION
BESK0E(X) computes the exponentially scaled modified (hyperbolic) Bessel function of third kind of order zero for real argument X .GT. 0.0, i.e., EXP(X)*K0(X). Series for BK0 on the interval 0. to 4.00000D+00 with weighted error 3.57E-19 log weighted error 18.45 significant figures required 17.99 decimal places required 18.97 Series for AK0 on the interval 1.25000D-01 to 5.00000D-01 with weighted error 5.34E-17 log weighted error 16.27 significant figures required 14.92 decimal places required 16.89 Series for AK02 on the interval 0. to 1.25000D-01 with weighted error 2.34E-17 log weighted error 16.63 significant figures required 14.67 decimal places required 17.20

REFERENCES
(NONE)

ROUTINES CALLED
BESI0, CSEVL, INITS, R1MACH, XERMSG

REVISION HISTORY (YYMMDD)
770401 DATE WRITTEN
890531 Changed all specific intrinsics to generic. (WRB)
890531 REVISION DATE from Version 3.2
891214 Prologue converted to Version 4.0 format. (BAB)
900315 CALLs to XERROR changed to CALLs to XERMSG. (THJ)
900326 Removed duplicate information from DESCRIPTION section. (WRB)