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Formula:1378

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Digital Library of Mathematical Functions ID 3.9.E9

t n , 2 ⁢ k = H k + 1 ⁢ ( s n ) H k ⁢ ( Δ 2 ⁢ s n ) , subscript 𝑡 𝑛 2 𝑘 subscript 𝐻 𝑘 1 subscript 𝑠 𝑛 subscript 𝐻 𝑘 superscript Δ 2 subscript 𝑠 𝑛 {\displaystyle{\displaystyle t_{n,2k}=\frac{H_{k+1}(s_{n})}{H_{k}(\Delta^{2}s_% {n})},}}


Constraint(s)

n = 0 , 1 , 2 , … 𝑛 0 1 2 … {\displaystyle{\displaystyle n=0,1,2,\dots}}

Symbols List

  • s n subscript 𝑠 𝑛 {\displaystyle{\displaystyle s_{n}}} : sequence
  • t n subscript 𝑡 𝑛 {\displaystyle{\displaystyle t_{n}}} : sequence
  • H m ⁢ ( u ) subscript 𝐻 𝑚 𝑢 {\displaystyle{\displaystyle H_{m}(u)}} : Hankel determinant (locally)
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This page was last edited on 28 January 2024, at 10:30.
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