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Formula:3304

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Digital Library of Mathematical Functions ID 8.12.E10

c k ⁢ ( η ) = 1 η ⁢ d d η ⁡ c k - 1 ⁢ ( η ) + ( - 1 ) k ⁢ g k μ , subscript 𝑐 𝑘 𝜂 1 𝜂 derivative 𝜂 subscript 𝑐 𝑘 1 𝜂 superscript 1 𝑘 subscript 𝑔 𝑘 𝜇 {\displaystyle{\displaystyle c_{k}(\eta)=\frac{1}{\eta}\frac{\mathrm{d}}{% \mathrm{d}\eta}c_{k-1}(\eta)+(-1)^{k}\frac{g_{k}}{\mu},}}


Constraint(s)

k = 1 , 2 , … 𝑘 1 2 … {\displaystyle{\displaystyle k=1,2,\dots}}

Symbols List

  • d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}} : derivative of $$f$$ with respect to $$x$$
  • k 𝑘 {\displaystyle{\displaystyle k}} : nonnegative integer
  • η ⁢ ( λ ) 𝜂 𝜆 {\displaystyle{\displaystyle\eta(\lambda)}} : η ( λ )
  • μ 𝜇 {\displaystyle{\displaystyle\mu}} : μ
  • c k ⁢ ( η ) subscript 𝑐 𝑘 𝜂 {\displaystyle{\displaystyle c_{k}(\eta)}} : coefficients
  • g k subscript 𝑔 𝑘 {\displaystyle{\displaystyle g_{k}}} : coefficients
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 01:49.
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