rising factorial

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• Factorial — n n! 0 1 1 1 2 2 3 6 4 24 5 120 6 720 7 …   Wikipedia

• Factorial moment — In probability theory, the nth factorial moment of a probability distribution, also called the nth factorial moment of any random variable X with that probability distribution, is[1] where is the falling factorial (confusingly, this same notation …   Wikipedia

• Factorial moment generating function — In probability theory and statistics, the factorial moment generating function of the probability distribution of a real valued random variable X is defined as:M X(t)=operatorname{E}igl [t^{X}igr] for all complex numbers t for which this… …   Wikipedia

• List of factorial and binomial topics — This is a list of factorial and binomial topics in mathematics, by Wikipedia page. See also binomial (disambiguation).*Alternating factorial *Antichain *Beta function *Binomial coefficient *Binomial distribution *Binomial proportion confidence… …   Wikipedia

• Pochhammer symbol — In mathematics, the Pochhammer symbol introduced by Leo August Pochhammer is the notation (x)n, where n is a non negative integer. Depending on the context the Pochhammer symbol may represent either the rising factorial or the falling factorial… …   Wikipedia

• Hypergeometric series — In mathematics, a hypergeometric series is a power series in which the ratios of successive coefficients k is a rational function of k . The series, if convergent, will define a hypergeometric function which may then be defined over a wider… …   Wikipedia

• Bernoulli number — In mathematics, the Bernoulli numbers Bn are a sequence of rational numbers with deep connections to number theory. They are closely related to the values of the Riemann zeta function at negative integers. There are several conventions for… …   Wikipedia

• Riemann zeta function — ζ(s) in the complex plane. The color of a point s encodes the value of ζ(s): dark colors denote values close to zero and hue encodes the value s argument. The white spot at s = 1 is the pole of the zeta function; the black spots on the… …   Wikipedia

• Bracket (mathematics) — In mathematics, various typographical forms of brackets are frequently used in mathematical notation such as parentheses ( ), square brackets [ ] , curly brackets { }, and angle brackets < >. In the typical use, a mathematical expression is… …   Wikipedia

• Multiset — This article is about the mathematical concept. For the computer science data structure, see Set (computer science)#Multiset. In mathematics, the notion of multiset (or bag) is a generalization of the notion of set in which members are allowed to …   Wikipedia

• Dobinski's formula — In combinatorial mathematics, Dobinski’s formula[1] states that the number of partitions of a set of n members is This number has come to be called the nth Bell number Bn, after Eric Temple Bell. The above formula can be seen as a particular case …   Wikipedia