DLMF:10.22.E24 (Q3398)

No description defined

Language	Label	Description	Also known as
English	DLMF:10.22.E24	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\frac{1}{2}\pi}J_{\mu}\left(z{\sin^{2}}% \theta\right)J_{\nu}\left(z{\cos^{2}}\theta\right)\cot\theta\mathrm{d}\theta=% \tfrac{1}{2}\mu^{-1}J_{\mu+\nu}\left(z\right),}}

0 references

DLMF id

DLMF:10.22.E24

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constraint

{\displaystyle{\displaystyle\Re\mu>0,\Re\nu>-1}}

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Symbols used

Bessel function of the first kind

Defining formula

{\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}

xml-id

C10.S2.E2.m2apdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

xml-id

C3.S12.E1.m2aldec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

xml-id

C4.S14.E2.m2ajdec

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cotangent function

Defining formula

{\displaystyle{\displaystyle\cot\NVar{z}}}

xml-id

C4.S14.E7.m2aadec

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Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1awdec

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Q10771

Defining formula

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

xml-id

C1.S4.SS4.m3awdec

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Q10811

Defining formula

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

xml-id

C1.S9.E2.m1akdec

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sine function

Defining formula