DLMF:10.40.E5 (Q3583)

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Language	Label	Description	Also known as
English	DLMF:10.40.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle I_{\nu}\left(z\right)\sim\frac{e^{z}}{(2\pi z)^{% \frac{1}{2}}}\sum_{k=0}^{\infty}(-1)^{k}\frac{a_{k}(\nu)}{z^{k}}\pm ie^{\pm\nu% \pi i}\frac{e^{-z}}{(2\pi z)^{\frac{1}{2}}}\sum_{k=0}^{\infty}\frac{a_{k}(\nu)% }{z^{k}},}}

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DLMF:10.40.E5

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{\displaystyle{\displaystyle-\tfrac{1}{2}\pi+\delta\leq\pm\operatorname{ph}z% \leq\tfrac{3}{2}\pi-\delta}}

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Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.SS3.p1.m11addec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2addec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2addec

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Sitelinks

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