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Formula:845

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Digital Library of Mathematical Functions ID 2.6.E49

f ⁢ ( t ) = ∑ s = 0 n - 1 ( - 1 ) s ⁢ t - s - α + ( - 1 ) n ⁢ t 1 - n - α 1 + t . 𝑓 𝑡 superscript subscript 𝑠 0 𝑛 1 superscript 1 𝑠 superscript 𝑡 𝑠 𝛼 superscript 1 𝑛 superscript 𝑡 1 𝑛 𝛼 1 𝑡 {\displaystyle{\displaystyle f(t)=\sum_{s=0}^{n-1}(-1)^{s}t^{-s-\alpha}+(-1)^{% n}\frac{t^{1-n-\alpha}}{1+t}.}}


Constraint(s)

Symbols List

  • f ⁢ ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}} : locally integrable function
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
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This page was last edited on 28 January 2024, at 10:02.
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