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Formula:3442

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Digital Library of Mathematical Functions ID 8.21.E22

f ⁢ ( a , z ) = ∫ 0 ∞ sin ⁡ t ( t + z ) 1 - a ⁢ d t , 𝑓 𝑎 𝑧 superscript subscript 0 𝑡 superscript 𝑡 𝑧 1 𝑎 𝑡 {\displaystyle{\displaystyle f(a,z)=\int_{0}^{\infty}\frac{\sin t}{(t+z)^{1-a}% }\mathrm{d}t,}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}} : sine function
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • a 𝑎 {\displaystyle{\displaystyle a}} : parameter
  • f ⁢ ( a , z ) 𝑓 𝑎 𝑧 {\displaystyle{\displaystyle f(a,z)}} : auxiliary function (locally)
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