BESK1E(3)

SYNOPSIS
FUNCTION BESK1E (X)

NAME
besk1e - Compute the exponentially scaled modified (hyperbolic) Bessel function of the third kind of order one.

LIBRARY
SLATEC (FNLIB)

CATEGORY
C10B1

TYPE
SINGLE PRECISION (BESK1E-S, DBSK1E-D)

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

AUTHOR
Fullerton, W., (LANL)

DESCRIPTION
BESK1E(X) computes the exponentially scaled modified (hyperbolic) Bessel function of third kind of order one for real argument X .GT. 0.0, i.e., EXP(X)*K1(X). Series for BK1 on the interval 0. to 4.00000D+00 with weighted error 7.02E-18 log weighted error 17.15 significant figures required 16.73 decimal places required 17.67 Series for AK1 on the interval 1.25000D-01 to 5.00000D-01 with weighted error 6.06E-17 log weighted error 16.22 significant figures required 15.41 decimal places required 16.83 Series for AK12 on the interval 0. to 1.25000D-01 with weighted error 2.58E-17 log weighted error 16.59 significant figures required 15.22 decimal places required 17.16

REFERENCES
(NONE)

ROUTINES CALLED
BESI1, 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)