DLMF:4.25.E5 (Q1816)

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Language	Label	Description	Also known as
English	DLMF:4.25.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle e^{2a\operatorname{arctan}\left(1/z\right)}={1+% \cfrac{2a}{z-a+\cfrac{a^{2}+1}{3z+\cfrac{a^{2}+4}{5z+\cfrac{a^{2}+9}{7z+}}}}% \cdots,}}}

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DLMF:4.25.E5

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2adec

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Defining formula

{\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}

C4.S23.SS2.p1.m7aadec

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Defining formula

{\displaystyle{\displaystyle a}}

C4.S1.XMD4.m1adec

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Defining formula

{\displaystyle{\displaystyle z}}

C4.S1.XMD8.m1ddec

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