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Formula:47

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Digital Library of Mathematical Functions ID 1.3.E18

D n ⁢ [ a j , k ] = | a - n , - n a - n , - n + 1 … a - n , n a - n + 1 , - n a - n + 1 , - n + 1 … a - n + 1 , n ⋮ ⋮ ⋱ ⋮ a n , - n a n , - n + 1 … a n , n | . subscript 𝐷 𝑛 delimited-[] subscript 𝑎 𝑗 𝑘 subscript 𝑎 𝑛 𝑛 subscript 𝑎 𝑛 𝑛 1 … subscript 𝑎 𝑛 𝑛 subscript 𝑎 𝑛 1 𝑛 subscript 𝑎 𝑛 1 𝑛 1 … subscript 𝑎 𝑛 1 𝑛 ⋮ ⋮ ⋱ ⋮ subscript 𝑎 𝑛 𝑛 subscript 𝑎 𝑛 𝑛 1 … subscript 𝑎 𝑛 𝑛 {\displaystyle{\displaystyle D_{n}[a_{j,k}]=\begin{vmatrix}a_{-n,-n}&a_{-n,-n+% 1}&\dots&a_{-n,n}\\ a_{-n+1,-n}&a_{-n+1,-n+1}&\dots&a_{-n+1,n}\\ \vdots&\vdots&\ddots&\vdots\\ a_{n,-n}&a_{n,-n+1}&\dots&a_{n,n}\end{vmatrix}.}}


Constraint(s)

Symbols List

  • det {\displaystyle{\displaystyle\det}} :
  • j 𝑗 {\displaystyle{\displaystyle j}} : integer
  • k 𝑘 {\displaystyle{\displaystyle k}} : integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 01:28.
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