DLMF:10.22.E71 (Q3445): Difference between revisions

Revision as of 16:37, 30 December 2019

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Language	Label	Description	Also known as
English	DLMF:10.22.E71	No description defined

{\displaystyle{\displaystyle\int_{0}^{\infty}J_{\mu}\left(at\right)J_{\nu}% \left(bt\right)J_{\nu}\left(ct\right)t^{1-\mu}\mathrm{d}t=\frac{(bc)^{\mu-1}(% \sin\phi)^{\mu-\frac{1}{2}}}{(2\pi)^{\frac{1}{2}}a^{\mu}}\mathsf{P}^{\frac{1}{% 2}-\mu}_{\nu-\frac{1}{2}}(\cos\phi),}}

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{\displaystyle{\displaystyle\Re\mu>-\tfrac{1}{2},\Re\nu>-1,|b-c|<a<b+c,\cos% \phi=(b^{2}+c^{2}-a^{2})/(2bc)}}

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Revision as of 13:53, 29 December 2019 imported>Admin Admin moved page Main Page to Verifying DLMF with Maple and Mathematica	Revision as of 16:37, 30 December 2019 imported>Admin Admin moved page Main Page to Verifying DLMF with Maple and Mathematica Newer edit →
	Property / constraint
		${\displaystyle{\displaystyle\Re\mu>-\tfrac{1}{2},\Re\nu>-1,\|b-c\|<a<b+c,\cos% \phi=(b^{2}+c^{2}-a^{2})/(2bc)}}$ `\realpart@@{\mu}>-\tfrac{1}{2},\realpart@@{\nu}>-1,\|b-c\|<a<b+c,\cos@@{\phi}=(b^{2}+c^{2}-a^{2})/(2bc)`
	Property / constraint: ${\displaystyle{\displaystyle\Re\mu>-\tfrac{1}{2},\Re\nu>-1,\|b-c\|<a<b+c,\cos% \phi=(b^{2}+c^{2}-a^{2})/(2bc)}}$ / rank
		Normal rank