DLMF:10.47.E17 (Q3690)

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Language	Label	Description	Also known as
English	DLMF:10.47.E17	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathsf{k}_{n}\left(-z\right)=-\tfrac{1}{2}\pi% \left({\mathsf{i}^{(1)}_{n}}\left(z\right)+{\mathsf{i}^{(2)}_{n}}\left(z\right% )\right).}}

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DLMF:10.47.E17

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aidec

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modified spherical Bessel function

Defining formula

{\displaystyle{\displaystyle{\mathsf{i}^{(1)}_{\NVar{n}}}\left(\NVar{z}\right)}}

C10.S47.E7.m2addec

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modified spherical Bessel function

Defining formula

{\displaystyle{\displaystyle{\mathsf{i}^{(2)}_{\NVar{n}}}\left(\NVar{z}\right)}}

C10.S47.E8.m2addec

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modified spherical Bessel function

Defining formula

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

C10.S47.E9.m2acdec

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Defining formula

{\displaystyle{\displaystyle n}}

C10.S1.XMD2.m1pdec

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