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Formula:9395

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Digital Library of Mathematical Functions ID 29.7.E8

τ 4 = 1 2 16 ⁢ ( ( 1 + k 2 ) 5 ⁢ ( 63 ⁢ p 6 + 1260 ⁢ p 4 + 2943 ⁢ p 2 + 486 ) - 8 ⁢ k 2 ⁢ ( 1 + k 2 ) 3 ⁢ ( 49 ⁢ p 6 + 1010 ⁢ p 4 + 2493 ⁢ p 2 + 432 ) + 16 ⁢ k 4 ⁢ ( 1 + k 2 ) ⁢ ( 35 ⁢ p 6 + 760 ⁢ p 4 + 2043 ⁢ p 2 + 378 ) ) . subscript 𝜏 4 1 superscript 2 16 superscript 1 superscript 𝑘 2 5 63 superscript 𝑝 6 1260 superscript 𝑝 4 2943 superscript 𝑝 2 486 8 superscript 𝑘 2 superscript 1 superscript 𝑘 2 3 49 superscript 𝑝 6 1010 superscript 𝑝 4 2493 superscript 𝑝 2 432 16 superscript 𝑘 4 1 superscript 𝑘 2 35 superscript 𝑝 6 760 superscript 𝑝 4 2043 superscript 𝑝 2 378 {\displaystyle{\displaystyle\tau_{4}=\frac{1}{2^{16}}((1+k^{2})^{5}(63p^{6}+12% 60p^{4}+2943p^{2}+486)-8k^{2}(1+k^{2})^{3}(49p^{6}+1010p^{4}+2493p^{2}+432)+16% k^{4}(1+k^{2})(35p^{6}+760p^{4}+2043p^{2}+378)).}}


Constraint(s)

Symbols List

  • p 𝑝 {\displaystyle{\displaystyle p}} : nonnegative integer
  • k 𝑘 {\displaystyle{\displaystyle k}} : real parameter
  • τ j subscript 𝜏 𝑗 {\displaystyle{\displaystyle\tau_{j}}} : coefficients
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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