*DECK DBSI1E DOUBLE PRECISION FUNCTION DBSI1E (X) C***BEGIN PROLOGUE DBSI1E C***PURPOSE Compute the exponentially scaled modified (hyperbolic) C Bessel function of the first kind of order one. C***LIBRARY SLATEC (FNLIB) C***CATEGORY C10B1 C***TYPE DOUBLE PRECISION (BESI1E-S, DBSI1E-D) C***KEYWORDS EXPONENTIALLY SCALED, FIRST KIND, FNLIB, C HYPERBOLIC BESSEL FUNCTION, MODIFIED BESSEL FUNCTION, C ORDER ONE, SPECIAL FUNCTIONS C***AUTHOR Fullerton, W., (LANL) C***DESCRIPTION C C DBSI1E(X) calculates the double precision exponentially scaled C modified (hyperbolic) Bessel function of the first kind of order C one for double precision argument X. The result is I1(X) C multiplied by EXP(-ABS(X)). C C Series for BI1 on the interval 0. to 9.00000E+00 C with weighted error 1.44E-32 C log weighted error 31.84 C significant figures required 31.45 C decimal places required 32.46 C C Series for AI1 on the interval 1.25000E-01 to 3.33333E-01 C with weighted error 2.81E-32 C log weighted error 31.55 C significant figures required 29.93 C decimal places required 32.38 C C Series for AI12 on the interval 0. to 1.25000E-01 C with weighted error 1.83E-32 C log weighted error 31.74 C significant figures required 29.97 C decimal places required 32.66 C C***REFERENCES (NONE) C***ROUTINES CALLED D1MACH, 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 DBSI1E