DLMF:30.11.E11 (Q8906)

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Language	Label	Description	Also known as
English	DLMF:30.11.E11	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle K_{n}^{m}(\gamma)=\frac{\sqrt{\pi}}{2}\left(\frac% {\gamma}{2}\right)^{m+1}\*\frac{(-1)^{m}a_{n,\frac{1}{2}(m-n+1)}^{-m}(\gamma^{% 2})}{\Gamma\left(\frac{5}{2}+m\right)A_{n}^{-m}(\gamma^{2})(\left.\ifrac{% \mathrm{d}\mathsf{Ps}^{m}_{n}(z,\gamma^{2})}{\mathrm{d}z}\right|_{z=0})},}}

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DLMF:30.11.E11

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{\displaystyle{\displaystyle n-m}}

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2aadec

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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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derivative of $$f$$ with respect to $$x$$

Defining formula

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

C1.S4.E4.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathsf{Ps}^{\NVar{m}}_{\NVar{n}}\left(\NVar{x},% \NVar{\gamma^{2}}\right)}}

C30.S4.SS1.m1aadec

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Defining formula

{\displaystyle{\displaystyle z}}

C30.S1.XMD1.m1gdec

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Defining formula

{\displaystyle{\displaystyle m}}

C30.S1.XMD4.m1hdec

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Defining formula

{\displaystyle{\displaystyle n\geq m}}

C30.S1.XMD5.m1ldec

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Defining formula

{\displaystyle{\displaystyle A_{n}^{m}(\gamma^{2})}}

C30.S11.XMD5.m1ddec

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Defining formula

{\displaystyle{\displaystyle K_{n}^{m}(\gamma)}}

C30.S11.XMD6.m1cdec

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Defining formula

{\displaystyle{\displaystyle\gamma^{2}}}

C30.S2.XMD3.m1hdec

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coefficients (locally)

Defining formula

{\displaystyle{\displaystyle a^{m}_{n,k}(\gamma^{2})}}

C30.S8.XMD2.m1cdec

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Sitelinks

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