DLMF:11.4.E25 (Q3957)

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Language	Label	Description	Also known as
English	DLMF:11.4.E25	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathbf{L}_{\nu-1}\left(z\right)-\mathbf{L}_{\nu+1% }\left(z\right)=\frac{2\nu}{z}\mathbf{L}_{\nu}\left(z\right)+\frac{(\tfrac{1}{% 2}z)^{\nu}}{\sqrt{\pi}\Gamma\left(\nu+\tfrac{3}{2}\right)},}}

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DLMF:11.4.E25

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Defining formula

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

C5.S2.E1.m2aedec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2asdec

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modified Struve function

Defining formula

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

C11.S2.E2.m2agdec

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Defining formula

{\displaystyle{\displaystyle z}}

C11.S1.XMD2.m1wdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C11.S1.XMD3.m1jdec

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