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Formula:296

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Digital Library of Mathematical Functions ID 1.9.E50

∑ n = 0 ∞ ( a n ± b n ) ⁢ z n = ∑ n = 0 ∞ a n ⁢ z n ± ∑ n = 0 ∞ b n ⁢ z n , subscript superscript 𝑛 0 plus-or-minus subscript 𝑎 𝑛 subscript 𝑏 𝑛 superscript 𝑧 𝑛 plus-or-minus subscript superscript 𝑛 0 subscript 𝑎 𝑛 superscript 𝑧 𝑛 subscript superscript 𝑛 0 subscript 𝑏 𝑛 superscript 𝑧 𝑛 {\displaystyle{\displaystyle\sum^{\infty}_{n=0}(a_{n}\pm b_{n})z^{n}=\sum^{% \infty}_{n=0}a_{n}z^{n}\pm\sum^{\infty}_{n=0}b_{n}z^{n},}}


Constraint(s)

Symbols List

  • z 𝑧 {\displaystyle{\displaystyle z}} : variable
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
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