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Formula:1277

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Digital Library of Mathematical Functions ID 3.6.E2

a n ⁢ Δ 2 w n - 1 + ( 2 ⁢ a n - b n ) ⁢ Δ w n - 1 + ( a n - b n + c n ) ⁢ w n - 1 = d n , subscript 𝑎 𝑛 superscript forward-difference 2 subscript 𝑤 𝑛 1 2 subscript 𝑎 𝑛 subscript 𝑏 𝑛 forward-difference subscript 𝑤 𝑛 1 subscript 𝑎 𝑛 subscript 𝑏 𝑛 subscript 𝑐 𝑛 subscript 𝑤 𝑛 1 subscript 𝑑 𝑛 {\displaystyle{\displaystyle a_{n}\Delta^{2}w_{n-1}+(2a_{n}-b_{n})\Delta w_{n-% 1}+(a_{n}-b_{n}+c_{n})w_{n-1}=d_{n},}}


Constraint(s)

Symbols List

  • Δ forward-difference {\displaystyle{\displaystyle\Delta}} :
  • w n subscript 𝑤 𝑛 {\displaystyle{\displaystyle w_{n}}} : sequence
  • a n subscript 𝑎 𝑛 {\displaystyle{\displaystyle a_{n}}} : coefficient (locally)
  • b n subscript 𝑏 𝑛 {\displaystyle{\displaystyle b_{n}}} : coefficient (locally)
  • c n subscript 𝑐 𝑛 {\displaystyle{\displaystyle c_{n}}} : coefficient (locally)
  • d n subscript 𝑑 𝑛 {\displaystyle{\displaystyle d_{n}}} : coefficient (locally)
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