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Formula:9467

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Digital Library of Mathematical Functions ID 29.15.E30

( 1 - 1 2 ⁢ k 2 ) ⁢ ∑ p = 0 n C 2 ⁢ p + 1 2 - 1 2 ⁢ k 2 ⁢ ( 1 2 ⁢ C 1 2 + ∑ p = 0 n - 1 C 2 ⁢ p + 1 ⁢ C 2 ⁢ p + 3 ) = 1 , 1 1 2 superscript 𝑘 2 superscript subscript 𝑝 0 𝑛 superscript subscript 𝐶 2 𝑝 1 2 1 2 superscript 𝑘 2 1 2 superscript subscript 𝐶 1 2 superscript subscript 𝑝 0 𝑛 1 subscript 𝐶 2 𝑝 1 subscript 𝐶 2 𝑝 3 1 {\displaystyle{\displaystyle\left(1-\tfrac{1}{2}k^{2}\right)\sum_{p=0}^{n}C_{2% p+1}^{2}-{\tfrac{1}{2}k^{2}\left(\tfrac{1}{2}C_{1}^{2}+\sum_{p=0}^{n-1}C_{2p+1% }C_{2p+3}\right)=1},}}


Constraint(s)

Symbols List

  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • p 𝑝 {\displaystyle{\displaystyle p}} : nonnegative integer
  • k 𝑘 {\displaystyle{\displaystyle k}} : real parameter
  • C 2 ⁢ p + 1 subscript 𝐶 2 𝑝 1 {\displaystyle{\displaystyle C_{2p+1}}} : coefficents
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This page was last edited on 28 January 2024, at 10:30.
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