*DECK DBSK1E DOUBLE PRECISION FUNCTION DBSK1E (X) C***BEGIN PROLOGUE DBSK1E 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 DOUBLE 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 DBSK1E(S) computes the double precision exponentially scaled C modified (hyperbolic) Bessel function of the third kind of order C one for positive double precision argument X. C C Series for BK1 on the interval 0. to 4.00000E+00 C with weighted error 9.16E-32 C log weighted error 31.04 C significant figures required 30.61 C decimal places required 31.64 C C Series for AK1 on the interval 1.25000E-01 to 5.00000E-01 C with weighted error 3.07E-32 C log weighted error 31.51 C significant figures required 30.71 C decimal places required 32.30 C C Series for AK12 on the interval 0. to 1.25000E-01 C with weighted error 2.41E-32 C log weighted error 31.62 C significant figures required 30.25 C decimal places required 32.38 C C***REFERENCES (NONE) C***ROUTINES CALLED D1MACH, DBESI1, DCSEVL, INITDS, XERMSG C***REVISION HISTORY (YYMMDD) C 770701 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***END PROLOGUE DBSK1E