DLMF:14.3.E4 (Q4693)

No description defined

Language	Label	Description	Also known as
English	DLMF:14.3.E4	No description defined

Statements

Defining formula

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \FerrersP[m]{\nu}@{x}=(-1)^{m}\frac{\EulerGamma@{\nu+m+1}}{2^{m}\EulerGamma@{\nu-m+1}}\left(1-x^{2}\right)^{m/2}\hyperOlverF@{\nu+m+1}{m-\nu}{m+1}{\tfrac{1}{2}-\tfrac{1}{2}x};}

0 references

DLMF id

DLMF:14.3.E4

0 references

Symbols used

gamma function

Defining formula

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

xml-id

C5.S2.E1.m2abdec

0 references

Ferrers function of the first kind

Defining formula

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

xml-id

C14.S3.E1.m2aadec

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$$={{}_{2}{\mathbf{F}}_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Olver’s hypergeometric function

Defining formula

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

xml-id

C15.S2.E2.m2acdec

0 references

Q11589

Defining formula

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

xml-id

C14.S1.XMD1.m1cdec

0 references

Q11593

Defining formula

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