DLMF:10.43.E2 (Q3615)

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Language	Label	Description	Also known as
English	DLMF:10.43.E2	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int z^{\nu}\mathscr{Z}_{\nu}\left(z\right)\mathrm% {d}z=\pi^{\frac{1}{2}}2^{\nu-1}\Gamma\left(\nu+\tfrac{1}{2}\right)z\*\left(% \mathscr{Z}_{\nu}\left(z\right)\mathbf{L}_{\nu-1}\left(z\right)-\mathscr{Z}_{% \nu-1}\left(z\right)\mathbf{L}_{\nu}\left(z\right)\right),}}

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DLMF:10.43.E2

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{\displaystyle{\displaystyle\nu\neq-\tfrac{1}{2}}}

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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Defining formula

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

C1.S4.SS4.m1aadec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aadec

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modified Struve function

Defining formula

{\displaystyle{\displaystyle\mathbf{L}_{\NVar{\nu}}\left(\NVar{z}\right)}}

C11.S2.E2.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathscr{Z}_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S25.Px2.p1.m3aadec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1adec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1adec

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