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Formula:2111

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Digital Library of Mathematical Functions ID 4.25.E4

arctan ⁡ z = z 1 + z 2 3 + 4 ⁢ z 2 5 + 9 ⁢ z 2 7 + 16 ⁢ z 2 9 + ⁢ ⋯ , 𝑧 continued-fraction 𝑧 1 continued-fraction superscript 𝑧 2 3 continued-fraction 4 superscript 𝑧 2 5 continued-fraction 9 superscript 𝑧 2 7 continued-fraction 16 superscript 𝑧 2 limit-from 9 ⋯ {\displaystyle{\displaystyle\operatorname{arctan}z=\cfrac{z}{1+\cfrac{z^{2}}{3% +\cfrac{4z^{2}}{5+\cfrac{9z^{2}}{7+\cfrac{16z^{2}}{9+}}}}}\cdots,}}


Constraint(s)

Symbols List

  • arctan ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}} :
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
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This page was last edited on 28 January 2024, at 10:30.
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