TOPICS
 |  |  |
(1)
|
 |  |  |
(2)
|
where 
is the gamma
function (Erdélyi et al. 1981, p. 217; Prudnikov et al.
1990, p. 799; Gradshteyn and Ryzhik 2000, p. 1109).
The notation 
is also sometimes used to denote the divisor function 
giving the number of divisors
or the number of distinct prime factors 
of a positive integer 
.
and Related Functions." §18.3 in Higher
Transcendental Functions, Vol. 3. New York: Krieger, pp. 217-224,
1981.Gradshteyn, I. S. and Ryzhik, I. M. "The Functions
, 
, 
, 
, 
." §9.64 in Tables
of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press,
p. 1109, 2000.Prudnikov, A. P.; Marichev, O. I.; and
Brychkov, Yu. A. Integrals
and Series, Vol. 3: More Special Functions. Newark, NJ: Gordon and Breach,
1990.Weisstein, Eric W. "Nu Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NuFunction.html