DLMF:10.41.E12 (Q3609)

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Language	Label	Description	Also known as
English	DLMF:10.41.E12	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle I_{\nu}\left(\nu z\right)=\frac{e^{\nu\eta}}{(2% \pi\nu)^{\frac{1}{2}}(1+z^{2})^{\frac{1}{4}}}\left(\sum_{k=0}^{\ell-1}\frac{U_% {k}(p)}{\nu^{k}}+O\left(\frac{1}{z^{\ell}}\right)\right),}}

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DLMF:10.41.E12

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{\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{2}\pi-\delta}}

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order not exceeding

Defining formula

{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

C2.S1.E3.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2afdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2afdec

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modified Bessel function of the first kind

Defining formula

{\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S25.E2.m2acdec

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Defining formula

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

C1.S9.E7.m1adec

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Defining formula

{\displaystyle{\displaystyle k}}

C10.S1.XMD3.m1fdec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1idec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1fdec

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Defining formula

{\displaystyle{\displaystyle\delta}}

C10.S1.XMD8.m1dec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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