Formula:2113

Digital Library of Mathematical Functions ID 4.25.E5

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

Symbols List

• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}$:
• ${\displaystyle{\displaystyle a}}$: real or complex constant
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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