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Formula:7332

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Digital Library of Mathematical Functions ID 19.29.E11

I ⁒ ( 𝐦 ) = ∫ y x ∏ Ξ± = 1 h ( a Ξ± + b Ξ± ⁒ t ) - 1 / 2 ⁒ ∏ j = 1 n ( a j + b j ⁒ t ) m j ⁒ d t , 𝐼 𝐦 superscript subscript 𝑦 π‘₯ superscript subscript product 𝛼 1 β„Ž superscript subscript π‘Ž 𝛼 subscript 𝑏 𝛼 𝑑 1 2 superscript subscript product 𝑗 1 𝑛 superscript subscript π‘Ž 𝑗 subscript 𝑏 𝑗 𝑑 subscript π‘š 𝑗 𝑑 {\displaystyle{\displaystyle I(\mathbf{m})=\int_{y}^{x}\prod_{\alpha=1}^{h}(a_% {\alpha}+b_{\alpha}t)^{-1/2}\prod_{j=1}^{n}(a_{j}+b_{j}t)^{m_{j}}\mathrm{d}t,}}


Constraint(s)

Symbols List

  • d x π‘₯ {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • m π‘š {\displaystyle{\displaystyle m}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • I ⁒ ( 𝐦 ) 𝐼 𝐦 {\displaystyle{\displaystyle I(\mathbf{m})}} : integral
  • Ξ± 𝛼 {\displaystyle{\displaystyle\alpha}} : parameter
  •  Edit this on Wikidata

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