generalized hypergeometric function

Summary

generalized hypergeometric function is a multivariate function^[1]. It draws 134 Wikipedia views per month (multivariate_function category, ranking #1 of 1).^[2]

Key Facts

• generalized hypergeometric function's image is recorded as Plot of the generalized hypergeometric function pFq(a b z) with a=(2,4,6,8) and b=(2,3,5,7,11) in the complex plane from -2-2i to 2+2i created with Mathematica 13.1 function ComplexPlot3D.svg^[3].
• generalized hypergeometric function's instance of is recorded as multivariate function^[4].
• generalized hypergeometric function's instance of is recorded as special function^[5].
• generalized hypergeometric function's different from is recorded as hypergeometric series^[6].
• generalized hypergeometric function's defining formula is recorded as {}p\mathrm{F}_q\left(a_1, a_2, \ldots, a_p; b_1, b_2, \ldots, b_q; z\right) = \sum{n = 0}^{\infty} \frac{(a_1)_n (a_2)_n \cdots (a_p)_n}{(b_1)_n (b_2)_n \cdots (b_q)_n} \frac{z^n}{n!}^[7].
• generalized hypergeometric function's MathWorld ID is recorded as GeneralizedHypergeometricFunction^[8].
• generalized hypergeometric function's nLab ID is recorded as hypergeometric function^[9].
• generalized hypergeometric function's maintained by WikiProject is recorded as WikiProject Mathematics^[10].
• generalized hypergeometric function's ProofWiki ID is recorded as Definition:Hypergeometric_Function/Generalized^[11].
• generalized hypergeometric function's in defining formula is recorded as {}_p\mathrm{F}_q\left(a_1, a_2, \ldots, a_p; b_1, b_2, \ldots, b_q; z\right)^[12].
• generalized hypergeometric function's in defining formula is recorded as (a)_k^[13].
• generalized hypergeometric function's in defining formula is recorded as n!^[14].
• generalized hypergeometric function's OpenAlex ID is recorded as C158241908^[15].

Why It Matters

generalized hypergeometric function draws 134 Wikipedia views per month (multivariate_function category, ranking #1 of 1).^[2] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.^[16] It is known by 3 alternative names across languages and contexts.^[17]