Gold 20

Generalized hypergeometric function

Gold ID

20

Link

https://sigir21.wmflabs.org/wiki/Generalized_hypergeometric_function#math.70.58

Formula

${}_1{F}_0(1;;z)=\sum _{n⩾0}{z}^n=(1-z{)}^{-1}$

TeX Source

{}_1F_0(1;;z) = \sum_{n \geqslant 0} z^n = (1-z)^{-1}

Translation Results
Semantic LaTeX	Mathematica Translation	Maple Translations

Semantic LaTeX

Translation

{}_1 \AppellF{0}(1 ; ; z) = \sum_{n \geqslant 0} z^n =(1 - z)^{-1}

Expected (Gold Entry)

\genhyperF{1}{0}@{1}{}{z} = \sum_{n \geqslant 0} z^n = (1-z)^{-1}

Mathematica

Translation

Expected (Gold Entry)

HypergeometricPFQ[{1}, {}, z] == Sum[(z)^(n), {n, 0, Infinity}] == (1 - z)^(- 1)

Maple

Translation

Expected (Gold Entry)

hypergeom([1], [], z) = sum((z)^(n), n = 0..infinity) = (1 - z)^(- 1)