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Formula:10101

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Digital Library of Mathematical Functions ID 32.10.E9

τ n ⁢ ( z ) = | ϕ ⁢ ( z ) ϕ ′ ⁢ ( z ) ⋯ ϕ ( n - 1 ) ⁢ ( z ) ϕ ′ ⁢ ( z ) ϕ ′′ ⁢ ( z ) ⋯ ϕ ( n ) ⁢ ( z ) ⋮ ⋮ ⋱ ⋮ ϕ ( n - 1 ) ⁢ ( z ) ϕ ( n ) ⁢ ( z ) ⋯ ϕ ( 2 ⁢ n - 2 ) ⁢ ( z ) | , subscript 𝜏 𝑛 𝑧 italic-ϕ 𝑧 superscript italic-ϕ ′ 𝑧 ⋯ superscript italic-ϕ 𝑛 1 𝑧 superscript italic-ϕ ′ 𝑧 superscript italic-ϕ ′′ 𝑧 ⋯ superscript italic-ϕ 𝑛 𝑧 ⋮ ⋮ ⋱ ⋮ superscript italic-ϕ 𝑛 1 𝑧 superscript italic-ϕ 𝑛 𝑧 ⋯ superscript italic-ϕ 2 𝑛 2 𝑧 {\displaystyle{\displaystyle\tau_{n}(z)=\begin{vmatrix}\phi(z)&\phi^{\prime}(z% )&\cdots&\phi^{(n-1)}(z)\\ \phi^{\prime}(z)&\phi^{\prime\prime}(z)&\cdots&\phi^{(n)}(z)\\ \vdots&\vdots&\ddots&\vdots\\ \phi^{(n-1)}(z)&\phi^{(n)}(z)&\cdots&\phi^{(2n-2)}(z)\end{vmatrix},}}


Constraint(s)

Symbols List

  • det {\displaystyle{\displaystyle\det}} :
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • z 𝑧 {\displaystyle{\displaystyle z}} : real
  • ϕ ⁢ ( z ) italic-ϕ 𝑧 {\displaystyle{\displaystyle\phi(z)}} : function
  • τ n ⁢ ( z ) subscript 𝜏 𝑛 𝑧 {\displaystyle{\displaystyle\tau_{n}(z)}} : determinant
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This page was last edited on 28 January 2024, at 10:30.
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