*DECK DBESK1 DOUBLE PRECISION FUNCTION DBESK1 (X) C***BEGIN PROLOGUE DBESK1 C***PURPOSE Compute the modified (hyperbolic) Bessel function of the C third kind of order one. C***LIBRARY SLATEC (FNLIB) C***CATEGORY C10B1 C***TYPE DOUBLE PRECISION (BESK1-S, DBESK1-D) C***KEYWORDS FNLIB, HYPERBOLIC BESSEL FUNCTION, C MODIFIED BESSEL FUNCTION, ORDER ONE, SPECIAL FUNCTIONS, C THIRD KIND C***AUTHOR Fullerton, W., (LANL) C***DESCRIPTION C C DBESK1(X) calculates the double precision modified (hyperbolic) C Bessel function of the third kind of order one for double precision C argument X. The argument must be large enough that the result does C not overflow and small enough that the result does not underflow. 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***REFERENCES (NONE) C***ROUTINES CALLED D1MACH, DBESI1, DBSK1E, 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 DBESK1