RE: HP48-HP50G : Error functions ERF(z), FRESNEL integrals, PROBIT, etc.

[Gil]

New version 14c

The directory includes now,
besides the following functions
ERF(z, z a complex number) & ERFc(z) & their inverses INV¦(z) & INV¦c(z)
PROBIT(z)
i¹ERFc(z)
i²ERFc(z)
ERFi(z)
ERFcx(z)
FADDEEVA(z)
DAWSON(z)
OWEN(h & a, but both arguments only real numbers)
the Fresnel integrals
FresnelS & FresnelC

with the following restriction:


1 Arg

.Real 
x
, |
x
| less or equal 10
. Or complex (x,
0)
with |
x
| less or equal 10


. Or complex
z=
a
+i
b
, 
b
not equal 0
with |
a
| & |
b
|
 less or equal 5

Arg
 here normalized:
't^2*pi/2'
instead of 't^2'

—> lim x—>±infinity = 1/2
instead of 1/2*sqrt (pi) / sqrt(2)

Complex form accepted for all function
(with the exception of OWEN's T function) :
- 
(
a b
)

-
 '
a+i*b
'
- '
r*e^(i*pi)
'
- '
r*EXP(i*pi)
'


In this version 14c,
OWEN_T function was also improved regarding its 2 arguments (calculation).

Most functions are restricted in the argument range
(a DOERR message with the corresponding explanation will appear
for non valid argument),
but all of them accept the special argument ± infinity.

Names/labels of subroutines called with small letters
& functions names mostly with capitals.

Program specially designed for EMU48.