In mathematics, Bhargava's factorial function, or simply Bhargava factorial, is a certain generalization of the factorial function developed by the Fields Medal winning mathematician Manjul Bhargava as part of his thesis in Harvard University in 1996. The Bhargava factorial has the property that many number-theoretic results involving the ordinary factorials remain true even when the factorials are replaced by the Bhargava factorials. Using an arbitrary infinite subset S of the set of integers, Bhargava associated a positive integer with every positive integer k, which he denoted by k !S, with the property that if one takes S = itself, then the integer associated with k, that is k !, would turn out to be the ordinary factorial of k.[1]
^Bhargava, Manjul (2000). "The Factorial Function and Generalizations" (PDF). The American Mathematical Monthly. 107 (9): 783–799. CiteSeerX 10.1.1.585.2265. doi:10.2307/2695734. JSTOR 2695734.
and 12 Related for: Bhargava factorial information
In mathematics, Bhargava'sfactorial function, or simply Bhargavafactorial, is a certain generalization of the factorial function developed by the Fields...
this form is not known. Bhargavafactorial The Bhargavafactorials are a family of integer sequences defined by Manjul Bhargava with similar number-theoretic...
Hanke) of the 290 theorem. A novel generalization of the factorial function, Bhargavafactorial, providing an answer to a decades-old question of George...
prime. It is also a Newman–Shanks–Williams prime, a Woodall prime, a factorial prime, a Harshad number, a lucky prime, a happy number (happy prime),...
are common among people with IBS. The causes of IBS may well be multi-factorial. Theories include combinations of "gut–brain axis" problems, alterations...
(x)_{n}=x(x+1)\cdots (x+n-1)={\frac {\Gamma (x+n)}{\Gamma (x)}}} is the rising factorial. The first few raw moments are: μ1′=σπ/2L1/2(−ν2/2σ2)μ2′=2σ2+ν2μ3′=3σ...
PMID 30192104. Eysenck, H. J. (October 1944). "Types of Personality: A Factorial Study of Seven Hundred Neurotics". Journal of Mental Science. 90 (381):...
{x^{4}}{4!}}-{\frac {x^{6}}{6!}}+\cdots } (The Kerala school did not use the "factorial" symbolism.) The Kerala school made use of the rectification (computation...