DLMF:15.12.E7 (Q5167)

No description defined

Language	Label	Description	Also known as
English	DLMF:15.12.E7	No description defined

Statements

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperF@@{a}{b-\lambda}{c+\lambda}{-z}=2^{b-c+(1/2)}\left(\frac{z+1}{2\sqrt{z}}\right)^{\lambda}\left(\lambda^{a/2}\paraU@{a-\tfrac{1}{2}}{-\alpha\sqrt{\lambda}}\left((1+z)^{c-a-b}z^{1-c}\left(\frac{\alpha}{z-1}\right)^{1-a}+\bigO(\lambda^{-1})\right)+\frac{\lambda^{\ifrac{(a-1)}{2}}}{\alpha}\paraU@{a-\tfrac{3}{2}}{-\alpha\sqrt{\lambda}}\left((1+z)^{c-a-b}z^{1-c}\left(\frac{\alpha}{z-1}\right)^{1-a}-2^{c-b-(\ifrac{1}{2})}\left(\frac{\alpha}{z-1}\right)^{a}+\bigO(\lambda^{-1})\right)\right),}

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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \bigO@{\NVar{x}}}

xml-id

C2.S1.E3.m2abdec

0 references

$$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}}}

xml-id

C15.S2.E1.m2abdec

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Q11320

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \paraU@{\NVar{a}}{\NVar{z}}}

xml-id

C12.S2.SS1.p1.m1adec

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Q11644

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}

xml-id

C15.S1.XMD3.m1fdec

0 references

Q11645

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}