DBIE(3)

SYNOPSIS
DOUBLE PRECISION FUNCTION DBIE (X)

NAME
dbie - 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
DOUBLE PRECISION (BIE-S, DBIE-D)

KEYWORDS
BAIRY FUNCTION, EXPONENTIALLY SCALED, FNLIB, SPECIAL FUNCTIONS

AUTHOR
Fullerton, W., (LANL)

DESCRIPTION
DBIE(X) calculates the double precision Airy function of the second kind or the double precision exponentially scaled Airy function of the second kind, depending on the value of the double precision argument X. Evaluate BI(X) for X .LE. 0.0 and BI(X)*EXP(-ZETA) where ZETA = 2/3 * X**(3/2) for X .GE. 0.0 Series for BIF on the interval -1.00000E+00 to 1.00000E+00 with weighted error 1.45E-32 log weighted error 31.84 significant figures required 30.85 decimal places required 32.40 Series for BIG on the interval -1.00000E+00 to 1.00000E+00 with weighted error 1.29E-33 log weighted error 32.89 significant figures required 31.48 decimal places required 33.45 Series for BIF2 on the interval 1.00000E+00 to 8.00000E+00 with weighted error 6.08E-32 log weighted error 31.22 approx significant figures required 30.8 decimal places required 31.80 Series for BIG2 on the interval 1.00000E+00 to 8.00000E+00 with weighted error 4.91E-33 log weighted error 32.31 approx significant figures required 31.6 decimal places required 32.90 Series for BIP1 on the interval 1.25000E-01 to 3.53553E-01 with weighted error 1.06E-32 log weighted error 31.98 significant figures required 30.61 decimal places required 32.81 Series for BIP2 on the interval 0. to 1.25000E-01 with weighted error 4.04E-33 log weighted error 32.39 significant figures required 31.15 decimal places required 33.37

REFERENCES
(NONE)

ROUTINES CALLED
D1MACH, D9AIMP, DCSEVL, INITDS

REVISION HISTORY (YYMMDD)
770701 DATE WRITTEN
890531 Changed all specific intrinsics to generic. (WRB)
890531 REVISION DATE from Version 3.2
891214 Prologue converted to Version 4.0 format. (BAB)