Formula:5373

Digital Library of Mathematical Functions ID 13.31.E1

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle A_{n}(z)=\sum_{s=0}^{n}\frac{\Pochhammersym{-n}{s}\Pochhammersym{n+1}{s}\Pochhammersym{a}{s}\Pochhammersym{b}{s}}{\Pochhammersym{a+1}{s}\Pochhammersym{b+1}{s}(n!)^{2}}\*\genhyperF{3}{3}@@{-n+s,n+1+s,1}{1+s,a+1+s,b+1+s}{-z},}

Symbols List

• ${\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}}$: alternatively F q p ( a ; b ; z ) or F q p ( a b ; z ) generalized hypergeometric function
• ${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$:
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle s}}$: nonnegative integer
• ${\displaystyle{\displaystyle z}}$: complex variable
 

Resources that cite this formula

No records found.