BESI0E(3)

SYNOPSIS
FUNCTION BESI0E (X)

NAME
besi0e - Compute the exponentially scaled modified (hyperbolic) Bessel function of the first kind of order zero.

LIBRARY
SLATEC (FNLIB)

CATEGORY
C10B1

TYPE
SINGLE PRECISION (BESI0E-S, DBSI0E-D)

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

AUTHOR
Fullerton, W., (LANL)

DESCRIPTION
BESI0E(X) calculates the exponentially scaled modified (hyperbolic) Bessel function of the first kind of order zero for real argument X; i.e., EXP(-ABS(X))*I0(X). Series for BI0 on the interval 0. to 9.00000D+00 with weighted error 2.46E-18 log weighted error 17.61 significant figures required 17.90 decimal places required 18.15 Series for AI0 on the interval 1.25000D-01 to 3.33333D-01 with weighted error 7.87E-17 log weighted error 16.10 significant figures required 14.69 decimal places required 16.76 Series for AI02 on the interval 0. to 1.25000D-01 with weighted error 3.79E-17 log weighted error 16.42 significant figures required 14.86 decimal places required 17.09

REFERENCES
(NONE)

ROUTINES CALLED
CSEVL, INITS, R1MACH

REVISION HISTORY (YYMMDD)
770701 DATE WRITTEN
890313 REVISION DATE from Version 3.2
891214 Prologue converted to Version 4.0 format. (BAB)