DLMF:30.8.E9 (Q8875)

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Language	Label	Description	Also known as
English	DLMF:30.8.E9	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathsf{Qs}^{m}_{n}\left(x,\gamma^{2}\right)=\sum_% {k=-\infty}^{-N-1}(-1)^{k}{a^{\prime}}^{m}_{n,k}(\gamma^{2})\mathsf{P}^{m}_{n+% 2k}\left(x\right)+\sum_{k=-N}^{\infty}(-1)^{k}a^{m}_{n,k}(\gamma^{2})\mathsf{Q% }^{m}_{n+2k}\left(x\right),}}

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DLMF:30.8.E9

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Ferrers function of the first kind

Defining formula

{\displaystyle{\displaystyle\mathsf{P}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}

C14.S3.E1.m2abdec

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Ferrers function of the second kind

Defining formula

{\displaystyle{\displaystyle\mathsf{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}

C14.S3.E2.m2adec

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Defining formula

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

C30.S5.m1adec

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Defining formula

{\displaystyle{\displaystyle x}}

C30.S1.XMD2.m1bdec

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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.m1hdec

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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.m1fdec

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Defining formula

{\displaystyle{\displaystyle N}}

C30.S8.XMD6.m1dec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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