Home > List of factorial and binomial topics

• Antichain
• Beta function
• Binomial coefficient
• Binomial distribution
• Binomial series
• Binomial theorem, Pascal's triangle
• Binomial type
• Catalan number
• Combination
• Difference operator
• Digamma function
• Erdös-Ko-Rado theorem
• Euler-Mascheroni constant
• Faà di Bruno's formula
• FactorialNumber theory Combinatorics In mathematics, the factorial of a natural number n is the product of the positive integers less than or equal to n''. This is written as n and pronounced n factorial". The notation n was introduced by Christian Kramp in 1808.
• Factorial momentIn probability theory, the n''th factorial moment of a probability distribution, also called the n''th factorial moment of any random variable X with that probability distribution, is : where : is the falling factorial (confusingly, this same notation, th
• Factorial primeA factorial prime is a number that is one less or one more than a factorial and is also a prime number. The first few factorial primes are: 2, 3, 5, 7, 23, 719, 5039, 39916801, 479001599, 87178291199,. Factorial primes are of interest to number theorists
• Gamma distributionIn probability theory and statistics, the gamma distribution is a continuous probability distribution. Specification of the gamma distribution Probability density function The probability density function of the gamma distribution can be expressed in term
• Gamma functionIn mathematics, the gamma function is a function that extends the concept of factorial to the complex numbers. Definition The notation Γ z is due to Adrien-Marie Legendre. If the real part of the complex number z is positive, then the integral : con
• Hypergeometric distributionIn mathematics, the hypergeometric distribution is a discrete probability distribution that describes the number of successes in a sequence of n draws from a finite population without replacement. A typical example is the following: There is a shipment of
• Hypergeometric function identitiesIn mathematics, hypergeometric identies are equalities involving sums over hypergeometric terms. These identities pop up very often in solutions to combinatorial problems and the analysis of algorithms. Although one used to prove these identities by hand,
• Hypergeometric seriesIn mathematics, a hypergeometric series could in principle be any formal power series in which the ratio of successive coefficients a ''a is a rational function of n''. In the case of geometric series the ratio is constant. The series for the exponential
• Incomplete beta function
• Incomplete gamma function
• Lah number
• Mahler's theorem
• Multinomial distribution
• Multinomial coefficient, Multinomial formula, Multinomial theorem
• Multiset
• Multivariate gamma function
• Negative binomial distribution
• Permutation
• Pascal's triangle
• Pascal's pyramid
• Pochhammer symbol (also falling, lower, rising, upper factorials)
• Poisson distribution
• Polygamma function
• Proof of Bertrand's postulate
• Sierpinski triangle
• Stirling number
• Stirling's approximation
• Taylor series
• Trinomial expansion
• Vandermonde's identity
• Wilson prime
• Wilson's theorem
• Wolstenholme prime