DLMF:35.5.E5 (Q9798): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:35.5.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int\limits_{\boldsymbol{{0}}<\mathbf{X}<\mathbf{T% }}A_{\nu_{1}}\left(\mathbf{S}_{1}\mathbf{X}\right)|\mathbf{X}|^{\nu_{1}}\*A_{% \nu_{2}}\left(\mathbf{S}_{2}(\mathbf{T}-\mathbf{X})\right)|\mathbf{T}-\mathbf{% X}|^{\nu_{2}}\mathrm{d}\mathbf{X}=|\mathbf{T}|^{\nu_{1}+\nu_{2}+\frac{1}{2}(m+% 1)}A_{\nu_{1}+\nu_{2}+\frac{1}{2}(m+1)}\left((\mathbf{S}_{1}+\mathbf{S}_{2})% \mathbf{T}\right),}}

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DLMF:35.5.E5

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{\displaystyle{\displaystyle\nu_{j}\in\mathbb{C}}}

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{\displaystyle{\displaystyle\Re(\nu_{j})>-1}}

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{\displaystyle{\displaystyle j=1,2}}

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{\displaystyle{\displaystyle\mathbf{S}_{1},\mathbf{S}_{2}\in\boldsymbol{% \mathcal{S}}}}

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{\displaystyle{\displaystyle\mathbf{T}\in{\boldsymbol{\Omega}}}}

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Defining formula

{\displaystyle{\displaystyle A_{\NVar{\nu}}\left(\NVar{\mathbf{T}}\right)}}

C35.S5.SS1.m1acdec

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Defining formula

{\displaystyle{\displaystyle\mathbb{C}}}

introduction.Sx4.p1.t1.r1.m2acdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1abdec

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Defining formula

{\displaystyle{\displaystyle\in}}

introduction.Sx4.p1.t1.r10.m2addec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3abdec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1aadec

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Defining formula

{\displaystyle{\displaystyle\mathbf{S}}}

C35.S1.XMD10.m1adec

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Defining formula

{\displaystyle{\displaystyle\mathbf{T}}}

C35.S1.XMD11.m1cdec

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Defining formula

{\displaystyle{\displaystyle\mathbf{X}}}

C35.S1.XMD12.m1bdec

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Defining formula

{\displaystyle{\displaystyle{\boldsymbol{\Omega}}}}

C35.S1.XMD13.m1bdec

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Defining formula

{\displaystyle{\displaystyle j}}

C35.S1.XMD4.m1dec

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Defining formula

{\displaystyle{\displaystyle m}}

C35.S1.XMD8.m1ddec

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Sitelinks

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