DLMF:15.8.E14

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Formula:5768


MaRDI QIDQ5768

  • Label: DLMF:15.8.E14


Digital Library of Mathematical Functions ID 15.8.E14

Failed to parse (LaTeXML (experimental; uses MathML) timeout from "http://latexml:8080/convert/".): {\displaystyle \hyperF@@{a}{b}{2b}{z}=\left(1-z\right)^{-\ifrac{a}{2}}\hyperF@@{\tfrac{1}{2}a}{b-\tfrac{1}{2}a}{b+\tfrac{1}{2}}{\frac{z^{2}}{4z-4}},}


Constraint(s)

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase@{1-z}|<\pi}

Symbols List

  • Failed to parse (LaTeXML (experimental; uses MathML) timeout from "http://latexml:8080/convert/".): {\displaystyle \hyperF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}}} : $$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function
  • Failed to parse (LaTeXML (experimental; uses MathML) timeout from "http://latexml:8080/convert/".): {\displaystyle \cpi} : the ratio of the circumference of a circle to its diameter
  • Failed to parse (LaTeXML (experimental; uses MathML) timeout from "http://latexml:8080/convert/".): {\displaystyle \phase} : phase
  • Failed to parse (LaTeXML (experimental; uses MathML) timeout from "http://latexml:8080/convert/".): {\displaystyle z} : complex variable
  • Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a} : real or complex parameter
  • Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b} : real or complex parameter
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