DLMF:14.19.E2 (Q4914)

No description defined

Language	Label	Description	Also known as
English	DLMF:14.19.E2	No description defined

Statements

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \assLegendreP[\mu]{\nu-\frac{1}{2}}@{\cosh@@{\xi}}=\frac{\EulerGamma@{\frac{1}{2}-\mu}}{\pi^{1/2}\left(1-e^{-2\xi}\right)^{\mu}e^{(\nu+(1/2))\xi}}\*\hyperOlverF@{\tfrac{1}{2}-\mu}{\tfrac{1}{2}+\nu-\mu}{1-2\mu}{1-e^{-2\xi}},}

0 references

DLMF id

DLMF:14.19.E2

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constraint

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mu\neq\frac{1}{2},\frac{3}{2},\frac{5}{2},\ldots}

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Symbols used

gamma function

test

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

xml-id

C5.S2.E1.m2adec

0 references

Q11481

test

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

xml-id

C14.S21.SS1.p1.m1adec

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the ratio of the circumference of a circle to its diameter

test

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

xml-id

C3.S12.E1.m2adec

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base of natural logarithm

test

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

xml-id

C4.S2.E11.m2adec

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hyperbolic cosine function

test

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

xml-id

C4.S28.E2.m2aadec

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

test

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.m2adec

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Q11591

test

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

xml-id

C14.S1.XMD7.m1dec

0 references

Q11590

test

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