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Formula:10693

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Digital Library of Mathematical Functions ID 36.12.E9

P m ⁒ n ⁒ ( 𝐲 ) = ( t n ⁒ ( 𝐱 ⁒ ( 𝐲 ) ) ) K + 1 + βˆ‘ l = m + 2 K l K + 2 ⁒ x l ⁒ ( 𝐲 ) ⁒ ( t n ⁒ ( 𝐱 ⁒ ( 𝐲 ) ) ) l - 1 , subscript 𝑃 π‘š 𝑛 𝐲 superscript subscript 𝑑 𝑛 𝐱 𝐲 𝐾 1 superscript subscript 𝑙 π‘š 2 𝐾 𝑙 𝐾 2 subscript π‘₯ 𝑙 𝐲 superscript subscript 𝑑 𝑛 𝐱 𝐲 𝑙 1 {\displaystyle{\displaystyle P_{mn}(\mathbf{y})=(t_{n}(\mathbf{x}(\mathbf{y}))% )^{K+1}+\sum_{l=m+2}^{K}\frac{l}{K+2}x_{l}(\mathbf{y})(t_{n}(\mathbf{x}(% \mathbf{y})))^{l-1},}}


Constraint(s)

Symbols List

  • l 𝑙 {\displaystyle{\displaystyle l}} : integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • m π‘š {\displaystyle{\displaystyle m}} : integer
  • K 𝐾 {\displaystyle{\displaystyle K}} : codimension
  • 𝐱 ⁒ ( 𝐲 ) 𝐱 𝐲 {\displaystyle{\displaystyle\mathbf{x}(\mathbf{y})}} :
  • t j ⁒ ( 𝐱 ) subscript 𝑑 𝑗 𝐱 {\displaystyle{\displaystyle t_{j}(\mathbf{x})}} : solutions
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 02:57.
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