Factorial moment
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 ... x-n+1) is the falling factorial (confusingly, this same notation, the Pochhammer symbol ... theory of special functions, to denote the rising factorial x(x + 1)(x + 2) ... ( ...
http://en.wikipedia.org/wiki/Factorial_moment - 1k - Cached - Similar pages

List of factorial and binomial topics
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 ... Mascheroni constant Faà di Bruno's formula Factorial Factorial moment Factorial prime Gamma distribution Gamma ...
http://en.wikipedia.org/wiki/List_of_factorial_and_binomial_topics - 3k - Cached - Similar pages

Pochhammer symbol
... theory of special functions to represent the "rising factorial" or "upperfactorial" $(x)\_n=x(x\; ...\; used\; in\; combinatorics\; to\; represent\; the\; "falling$factorial" or "lower factorial" $(x)\_n=x(x-1)(x\; ...\; math>\; are\; commonly\; used\; to\; denote\; the$rising and falling factorials, respectively. They are ...
http://en.wikipedia.org/wiki/Pochhammer_symbol - 5k - Cached - Similar pages

Pounding hammer symbol   (translated from German)
... becomes also $(x)\_n\; \backslash ,$ the rising factorial ones designates $(x)\_n=x(x\; ...\; in\; the\; combinatorial\; mathematics\; thereby\; the\; falling$factorial ones one designates $(x)\_n=x\; ...\; one$ (x)^n$for\; the$rising and $(x)\_n$ for the falling factorial ones verwendent. Further gibts it a ...
http://de.wikipedia.org/wiki/Pochhammer-Symbol - 4k - Cached (German) - Wikipedia (German) - Similar pages

User talk:MarkSweep/archive3
... k+\rho+1)} Using the falling factorial definition: $x^\{\backslash underline\{n\}\}=\backslash frac\{\backslash Gamma\; ...\; I\; think\; your\; definition\; of\; the\; falling$factorial is actually the rising factorial. The falling factorial I'm thinking of is $...$
http://en.wikipedia.org/wiki/User_talk:MarkSweep/archive3 - 88k - Cached - Similar pages

Hypergeometric series
... cdots(a+n-1) is the rising factorial or Pochhammer symbol. Introduction A hypergeometric series ... of Pochhammer symbols. Since Pochhammer notation for rising factorials is traditional it is neater to ... 2)...(a+n-1) is the rising factorial or Pochhammer symbol. Here, the zeros ...
http://en.wikipedia.org/wiki/Hypergeometric_series - 16k - Cached - Similar pages

Stirling number
... k where (x) n is the rising factorial $(x)^n=x(x+1)(x\; ...\; can\; be\; inverted\; to\; express\; the\; falling$factorial as a power series: $(x)\_n\; ...\; is\; an\; empty\; product)\; be\; the\; falling$factorial, we can characterize the Stirling numbers of ... the notation used in special functions for rising factorials; see Pochhammer symbol.) Table of ...
http://en.wikipedia.org/wiki/Stirling_number - 25k - Cached - Similar pages

Lah number   (translated from German)
... describe in mathematics those Connection coefficient between rising and falling Factorial one . They became of Ivo Lah 1955 ... k!} For those Inversion formula the rising and falling factorial ones one uses the unsigned Lah numbers ...
http://de.wikipedia.org/wiki/Lah-Zahl - 1k - Cached (German) - Wikipedia (German) - Similar pages

Table of Newtonian series
... and $(s)\_n$ is the rising factorial. Newtonian series often appear in relations of ... writing them in terms of the falling factorial $(s)\_n$. The first few ... math>. See also Binomial transform List of factorial and binomial topics References Philippe Flajolet and ...
http://en.wikipedia.org/wiki/Table_of_Newtonian_series - 3k - Cached - Similar pages

Permutation
... by P(n, r) and use the factorial notation, we can write $P(n\; ...\; n)\; r\; which\; is\; called\; a\; falling$factorial. However, the same notation is used for the rising factorial (also called Pochhammer symbol) n(n + 1 ...
http://en.wikipedia.org/wiki/Permutation - 19k - Cached - Similar pages