BIE(3)

SYNOPSIS
FUNCTION BIE (X)

NAME
bie - Calculate the Bairy function for a negative argument and an exponentially scaled Bairy function for a non-negative argument.

LIBRARY
SLATEC (FNLIB)

CATEGORY
C10D

TYPE
SINGLE PRECISION (BIE-S, DBIE-D)

KEYWORDS
BAIRY FUNCTION, EXPONENTIALLY SCALED, FNLIB, SPECIAL FUNCTIONS

AUTHOR
Fullerton, W., (LANL)

DESCRIPTION
Evaluate BI(X) for X .LE. 0 and BI(X)*EXP(ZETA) where ZETA = 2/3 * X**(3/2) for X .GE. 0.0 Series for BIF on the interval -1.00000D+00 to 1.00000D+00 with weighted error 1.88E-19 log weighted error 18.72 significant figures required 17.74 decimal places required 19.20 Series for BIG on the interval -1.00000D+00 to 1.00000D+00 with weighted error 2.61E-17 log weighted error 16.58 significant figures required 15.17 decimal places required 17.03 Series for BIF2 on the interval 1.00000D+00 to 8.00000D+00 with weighted error 1.11E-17 log weighted error 16.95 approx significant figures required 16.5 decimal places required 17.45 Series for BIG2 on the interval 1.00000D+00 to 8.00000D+00 with weighted error 1.19E-18 log weighted error 17.92 approx significant figures required 17.2 decimal places required 18.42 Series for BIP on the interval 1.25000D-01 to 3.53553D-01 with weighted error 1.91E-17 log weighted error 16.72 significant figures required 15.35 decimal places required 17.41 Series for BIP2 on the interval 0. to 1.25000D-01 with weighted error 1.05E-18 log weighted error 17.98 significant figures required 16.74 decimal places required 18.71

REFERENCES
(NONE)

ROUTINES CALLED
CSEVL, INITS, R1MACH, R9AIMP

REVISION HISTORY (YYMMDD)
770701 DATE WRITTEN
890206 REVISION DATE from Version 3.2
891214 Prologue converted to Version 4.0 format. (BAB)