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Formula:713

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Digital Library of Mathematical Functions ID 2.3.E24

I ⁢ ( α , x ) = ∫ 0 k e - x ⁢ p ⁢ ( α , t ) ⁢ q ⁢ ( α , t ) ⁢ t λ - 1 ⁢ d t 𝐼 𝛼 𝑥 superscript subscript 0 𝑘 superscript 𝑒 𝑥 𝑝 𝛼 𝑡 𝑞 𝛼 𝑡 superscript 𝑡 𝜆 1 𝑡 {\displaystyle{\displaystyle I(\alpha,x)=\int_{0}^{k}e^{-xp(\alpha,t)}q(\alpha% ,t)t^{\lambda-1}\mathrm{d}t}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • p ⁢ ( α , t ) 𝑝 𝛼 𝑡 {\displaystyle{\displaystyle p(\alpha,t)}} : function
  • q ⁢ ( α , t ) 𝑞 𝛼 𝑡 {\displaystyle{\displaystyle q(\alpha,t)}} : function
  • λ 𝜆 {\displaystyle{\displaystyle\lambda}} : positive constant
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:02.
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