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Formula:339

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Digital Library of Mathematical Functions ID 1.10.E14

g ⁢ ( F ⁢ ( w ) ) = g ⁢ ( z 0 ) + ∑ n = 1 ∞ G n ⁢ ( w - w 0 ) n , 𝑔 𝐹 𝑤 𝑔 subscript 𝑧 0 subscript superscript 𝑛 1 subscript 𝐺 𝑛 superscript 𝑤 subscript 𝑤 0 𝑛 {\displaystyle{\displaystyle g(F(w))=g(z_{0})+\sum^{\infty}_{n=1}G_{n}(w-w_{0}% )^{n},}}


Constraint(s)

Symbols List

  • z 𝑧 {\displaystyle{\displaystyle z}} : variable
  • w 𝑤 {\displaystyle{\displaystyle w}} : variable
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • F ⁢ ( w ) 𝐹 𝑤 {\displaystyle{\displaystyle F(w)}} : inverse function of $$f(z)$$ (locally)
  • G n subscript 𝐺 𝑛 {\displaystyle{\displaystyle G_{n}}} : residue
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This page was last edited on 28 January 2024, at 11:30.
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