DLMF:10.22.E5

MaRDI QIDQ4075

• Label: DLMF:10.22.E5

Digital Library of Mathematical Functions ID 10.22.E5

${\displaystyle{\displaystyle\int z\mathscr{C}_{\mu}\left(az\right)\mathscr{D}_{\mu}(az)\mathrm{d}z=\tfrac{1}{4}z^{2}\left(2\mathscr{C}_{\mu}\left(az\right)\mathscr{D}_{\mu}(az)-\mathscr{C}_{\mu-1}\left(az\right)\mathscr{D}_{\mu+1}(az)-\mathscr{C}_{\mu+1}\left(az\right)\mathscr{D}_{\mu-1}(az)\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}}$: cylinder function
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\mathscr{D}_{\nu}(z)}}$: cylinder function
 

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