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Formula:329

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Digital Library of Mathematical Functions ID 1.10.E4

( 1 - z ) - α = 1 + α ⁢ z + α ⁢ ( α + 1 ) 2 ! ⁢ z 2 + α ⁢ ( α + 1 ) ⁢ ( α + 2 ) 3 ! ⁢ z 3 + ⋯ , superscript 1 𝑧 𝛼 1 𝛼 𝑧 𝛼 𝛼 1 2 superscript 𝑧 2 𝛼 𝛼 1 𝛼 2 3 superscript 𝑧 3 ⋯ {\displaystyle{\displaystyle(1-z)^{-\alpha}=1+\alpha z+\frac{\alpha(\alpha+1)}% {2!}z^{2}+\frac{\alpha(\alpha+1)(\alpha+2)}{3!}z^{3}+\cdots,}}


Constraint(s)

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

Symbols List

  • ! {\displaystyle{\displaystyle!}} :
  • z 𝑧 {\displaystyle{\displaystyle z}} : variable
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 01:33.
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