Nu Function
المؤلف:
Erdélyi, A.; Magnus, W.; Oberhettinger, F.; and Tricomi, F. G
المصدر:
"The Function nu(x) and Related Functions." §18.3 in Higher Transcendental Functions, Vol. 3. New York: Krieger
الجزء والصفحة:
...
23-5-2019
2032
Nu Function
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 
.
REFERENCES:
Erdélyi, A.; Magnus, W.; Oberhettinger, F.; and Tricomi, F. G. "The Function 
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.
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