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Formula:826

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Digital Library of Mathematical Functions ID 2.6.E30

R n ⁢ ( z ) = ( - 1 ) n z n ⁢ ∫ 0 ∞ τ n ⁢ f n ⁢ ( τ ) τ + z ⁢ d τ . subscript 𝑅 𝑛 𝑧 superscript 1 𝑛 superscript 𝑧 𝑛 superscript subscript 0 superscript 𝜏 𝑛 subscript 𝑓 𝑛 𝜏 𝜏 𝑧 𝜏 {\displaystyle{\displaystyle R_{n}(z)=\frac{(-1)^{n}}{z^{n}}\int_{0}^{\infty}% \frac{\tau^{n}f_{n}(\tau)}{\tau+z}\mathrm{d}\tau.}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • R n ⁢ ( z ) subscript 𝑅 𝑛 𝑧 {\displaystyle{\displaystyle R_{n}(z)}} : remainder
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • f n , n ⁢ ( t ) subscript 𝑓 𝑛 𝑛 𝑡 {\displaystyle{\displaystyle f_{n,n}(t)}} : n th repeated integral
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