AIE(3)

SYNOPSIS
FUNCTION AIE (X)

NAME
aie - Calculate the Airy function for a negative argument and an exponentially scaled Airy function for a non-negative argument.

LIBRARY
SLATEC (FNLIB)

CATEGORY
C10D

TYPE
SINGLE PRECISION (AIE-S, DAIE-D)

KEYWORDS
EXPONENTIALLY SCALED AIRY FUNCTION, FNLIB, SPECIAL FUNCTIONS

AUTHOR
Fullerton, W., (LANL)

DESCRIPTION
AIE(X) computes the exponentially scaled Airy function for non-negative X. It evaluates AI(X) for X .LE. 0.0 and EXP(ZETA)*AI(X) for X .GE. 0.0 where ZETA = (2.0/3.0)*(X**1.5). Series for AIF on the interval -1.00000D+00 to 1.00000D+00 with weighted error 1.09E-19 log weighted error 18.96 significant figures required 17.76 decimal places required 19.44 Series for AIG on the interval -1.00000D+00 to 1.00000D+00 with weighted error 1.51E-17 log weighted error 16.82 significant figures required 15.19 decimal places required 17.27 Series for AIP on the interval 0. to 1.00000D+00 with weighted error 5.10E-17 log weighted error 16.29 significant figures required 14.41 decimal places required 17.06

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)
920618 Removed space from variable names. (RWC, WRB)