hypergeometric function

Summary

hypergeometric function is a function^[1]. It draws 431 Wikipedia views per month (function category, ranking #14 of 114).^[2]

Key Facts

• hypergeometric function's image is recorded as Plot of the hypergeometric function 2F1(a,b; c; z) with a=2 and b=3 and c=4 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg^[3].
• hypergeometric function's instance of is recorded as function^[4].
• hypergeometric function's instance of is recorded as special function^[5].
• hypergeometric function's instance of is recorded as hypergeometric series^[6].
• hypergeometric function's instance of is recorded as generalized hypergeometric function^[7].
• Carl Friedrich Gauss is named after hypergeometric function^[8].
• hypergeometric function's Freebase ID is recorded as /m/06hygx^[9].
• hypergeometric function's NL CR AUT ID is recorded as ph161655^[10].
• hypergeometric function's described by source is recorded as Great Soviet Encyclopedia (1926–1947)^[11].
• hypergeometric function's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics^[12].
• hypergeometric function's Encyclopædia Britannica Online ID is recorded as science/hypergeometric-function^[13].
• hypergeometric function's Stack Exchange tag is recorded as https://mathoverflow.net/tags/hypergeometric-functions^[14].
• hypergeometric function's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/hypergeometric-function^[15].
• hypergeometric function's different from is recorded as hypergeometric series^[16].
• hypergeometric function's defining formula is recorded as \mathrm{F}(a, b, c; z) = \sum_{n = 0}^{\infty} \frac{(a)_n (b)_n}{(c)_n} \frac{z^n}{n!}, -c \notin \boldsymbol{\mathsf{N}}^[17].
• hypergeometric function's defining formula is recorded as \mathrm{F}(a, b, c; z) = {}_2\mathrm{F}_1(a, b; c; z)^[18].
• hypergeometric function's MathWorld ID is recorded as HypergeometricFunction^[19].
• hypergeometric function's JSTOR topic ID is recorded as hypergeometric-functions^[20].
• hypergeometric function's maintained by WikiProject is recorded as WikiProject Mathematics^[21].
• hypergeometric function's Microsoft Academic ID is recorded as 197320386^[22].
• hypergeometric function's ProofWiki ID is recorded as Definition:Hypergeometric_Function/Gaussian^[23].
• hypergeometric function's in defining formula is recorded as \mathrm{F}(a, b, c; z)^[24].
• hypergeometric function's in defining formula is recorded as (a)_k^[25].
• hypergeometric function's in defining formula is recorded as n!^[26].
• 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)^[27].

Why It Matters

hypergeometric function draws 431 Wikipedia views per month (function category, ranking #14 of 114).^[2] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.^[28] It is known by 12 alternative names across languages and contexts.^[29]