HP RPN SCIENTIFIC WP 34S Owner's Manual page 209

Name Remarks (see p.
(1) Returns Lambert's W with its principal branch
(called W here) and its negative branch (called W
p
for minus ). The connecting point is (-1/e , -1). The
diagram shows the real values of both branches.
Start reading here for more information:
http://en.wikipedia.org/wiki/Lambert_W_function
W ,
p
Learn more here:
W
m
http://mathworld.wolfram.com/LambertW-
Function.html
(2) Returns the lower incomplete gamma function
γ
XY
above.
(2) Returns the upper incomplete gamma function
Γ
XY
Γ
above.
q
(1) Returns Riemann's Zeta for real arguments, with
ζ
and its analytical continuation for
Read here for more:
You will find lots of information about the special functions implemented in your WP 34S in
the internet in addition. Generally, Wikipedia is a good starter – check the articles in
different languages since they may well contain different material and use different
approaches. Mathworld may contain more details than you ever wanted to know. And for
applied statistics, the NIST Sematech online handbook quoted above is a competent
source. Further references are found at these sites.
WP 34S Owner's Manual
74 for general information)
.
x
http://mathworld.wolfram.com/RiemannZetaFunction.html
m
.

 ,
x

 

 
 
 
x x 1
x 2
< 1 :
Edition 3.1
y


  
x 1 t
. Required for Γ
y t e dt
0

 

 

x 1 t
x , y t e dt . Required for
u
y

1


x x
for > 1 ,
x
n

n 1

 
  

   
 
sin x 1 x
 
2
Page 209 of 211
p


1 x
.
.