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Formula:1633

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Digital Library of Mathematical Functions ID 4.6.E7

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


Constraint(s)

Symbols List

  • ! {\displaystyle{\displaystyle!}} :
  • a 𝑎 {\displaystyle{\displaystyle a}} : real or complex constant
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
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This page was last edited on 3 March 2024, at 01:41.
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