DLMF:11.9.E9 (Q4017)

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No description defined

Language	Label	Description	Also known as
English	DLMF:11.9.E9	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle S_{{\mu},{\nu}}\left(z\right)\sim z^{\mu-1}\sum_{% k=0}^{\infty}(-1)^{k}a_{k}(-\mu,\nu)z^{-2k},}}

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DLMF:11.9.E9

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{\displaystyle{\displaystyle|\operatorname{ph}z|\leq\pi-\delta(<\pi)}}

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{\displaystyle{\displaystyle z\to\infty}}

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{\displaystyle{\displaystyle|\operatorname{ph}z|\leq\pi-\delta(<\pi)}}

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Lommel function

Defining formula

{\displaystyle{\displaystyle S_{{\NVar{\mu}},{\NVar{\nu}}}\left(\NVar{z}\right% )}}

C11.S9.E5.m2abdec

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Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.SS3.p1.m11adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle\operatorname{ph}}}

C1.S9.E7.m1adec

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Defining formula

{\displaystyle{\displaystyle z}}

C11.S1.XMD2.m1gdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C11.S1.XMD3.m1hdec

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Defining formula

{\displaystyle{\displaystyle k}}

C11.S1.XMD5.m1ddec

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Defining formula

{\displaystyle{\displaystyle\delta}}

C11.S1.XMD6.m1dec

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Defining formula

{\displaystyle{\displaystyle a_{k}(\mu,\nu)}}

C11.S9.XMD4.m1dec

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Sitelinks

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