DLMF:30.11.E3 (Q8897)

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Language	Label	Description	Also known as
English	DLMF:30.11.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle S^{m(j)}_{n}\left(z,\gamma\right)=\frac{(1-z^{-2}% )^{\frac{1}{2}m}}{A_{n}^{-m}(\gamma^{2})}\sum_{2k\geq m-n}a^{-m}_{n,k}(\gamma^% {2})\psi_{n+2k}^{(j)}(\gamma z).}}

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DLMF:30.11.E3

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Symbols defined

radial spheroidal wave function

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Defining formula

{\displaystyle{\displaystyle z}}

C30.S1.XMD1.m1adec

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Defining formula

{\displaystyle{\displaystyle m}}

C30.S1.XMD4.m1dec

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Defining formula

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

C30.S1.XMD5.m1dec

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spherical function (locally)

Defining formula

{\displaystyle{\displaystyle\psi_{k}^{(j)}(z)}}

C30.S11.XMD3.m1adec

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Defining formula

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

C30.S11.XMD5.m1dec

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Defining formula

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

C30.S2.XMD3.m1dec

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coefficients (locally)

Defining formula

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

C30.S8.XMD2.m1dec

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Sitelinks

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