DLMF:18.23.E7 (Q5908)

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Language	Label	Description	Also known as
English	DLMF:18.23.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle(1-e^{\mathrm{i}\phi}z)^{-\lambda+\mathrm{i}x}(1-e% ^{-\mathrm{i}\phi}z)^{-\lambda-\mathrm{i}x}=\sum_{n=0}^{\infty}P^{(\lambda)}_{% n}\left(x;\phi\right)z^{n},}}

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DLMF:18.23.E7

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{\displaystyle{\displaystyle|z|<1}}

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Defining formula

{\displaystyle{\displaystyle P^{(\NVar{\lambda})}_{\NVar{n}}\left(\NVar{x};% \NVar{\phi}\right)}}

C18.S19.Px3.p1.m2adec

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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\mathrm{i}}}

C1.S9.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle z}}

C18.S1.XMD2.m1fdec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1fdec

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Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1fdec

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