DLMF:10.54.E3 (Q3761)

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Language	Label	Description	Also known as
English	DLMF:10.54.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathsf{k}_{n}\left(z\right)=\frac{\pi}{2}\int_{1}% ^{\infty}e^{-zt}P_{n}\left(t\right)\mathrm{d}t,}}

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DLMF:10.54.E3

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{\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{1}{2}\pi.}}

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1abdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aadec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3abdec

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Defining formula

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

C1.S9.E7.m1adec

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Defining formula

{\displaystyle{\displaystyle P_{\NVar{\nu}}\left(\NVar{z}\right)=P^{0}_{\nu}% \left(z\right)}}

C14.S2.SS2.p2.m3aadec

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modified spherical Bessel function

Defining formula

{\displaystyle{\displaystyle\mathsf{k}_{\NVar{n}}\left(\NVar{z}\right)}}

C10.S47.E9.m2adec

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Defining formula

{\displaystyle{\displaystyle n}}

C10.S1.XMD2.m1bdec

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Sitelinks

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