- Generalized Pochhammer symbol
In
mathematics , the generalized Pochhammer symbol of parameter and partition generalizes the classicalPochhammer symbol and is defined as:
Wikimedia Foundation. 2010.
Generalized Pochhammer symbol
Look at other dictionaries:
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
Leo August Pochhammer — (25 August 1841 ndash; 24 March 1920) was a Prussian mathematician, known for his work on special functions. He introduced the Pochhammer symbol, now generally used for expressing hypergeometric functions in a compact notation.ee also*Generalized … Wikipedia
List of mathematics articles (G) — NOTOC G G₂ G delta space G networks Gδ set G structure G test G127 G2 manifold G2 structure Gabor atom Gabor filter Gabor transform Gabor Wigner transform Gabow s algorithm Gabriel graph Gabriel s Horn Gain graph Gain group Galerkin method… … Wikipedia
Hypergeometric function of a matrix argument — In mathematics, the hypergeometric function of a matrix argument is a generalization of the classical hypergeometric series. It is the closed form expression of certain multivariate integrals, especially ones appearing in random matrix theory.… … 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
Laguerre polynomials — In mathematics, the Laguerre polynomials, named after Edmond Laguerre (1834 ndash; 1886), are the canonical solutions of Laguerre s equation::x,y + (1 x),y + n,y = 0,which is a second order linear differential equation.This equation has… … Wikipedia
Pi — This article is about the number. For the Greek letter, see Pi (letter). For other uses, see Pi (disambiguation). The circumference of a ci … Wikipedia
Factorial — n n! 0 1 1 1 2 2 3 6 4 24 5 120 6 720 7 … Wikipedia
Partition (number theory) — Young diagrams associated to the partitions of the positive integers 1 through 8. They are so arranged that images under the reflection about the main diagonal of the square are conjugate partitions. In number theory and combinatorics, a… … Wikipedia
Bilateral hypergeometric series — In mathematics, a bilateral hypergeometric series is a series Σan summed over all integers n, and such that the ratio an/an+1 of two terms is a rational function of n. The definition of the generalized hypergeometric series is similar, except… … Wikipedia
