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Display information for equation id:math.229921.20 on revision:229921

* Page found: Morera's theorem (eq math.229921.20)

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Hash: e90bfe25ca772786bbf4581ad78c92fa

TeX (original user input):

 \oint_C \Gamma(\alpha)\,d\alpha = \oint_C \int_0^\infty x^{\alpha-1} e^{-x}\,dx \,d\alpha

TeX (checked):

\oint _{C}\Gamma (\alpha )\,d\alpha =\oint _{C}\int _{0}^{\infty }x^{\alpha -1}e^{-x}\,dx\,d\alpha

LaTeXML (experimental; uses MathML) rendering

MathML (9.081 KB / 1.442 KB) :

C Γ ( α ) 𝑑 α = C 0 x α - 1 e - x 𝑑 x 𝑑 α subscript contour-integral 𝐶 Γ 𝛼 differential-d 𝛼 subscript contour-integral 𝐶 superscript subscript 0 superscript 𝑥 𝛼 1 superscript 𝑒 𝑥 differential-d 𝑥 differential-d 𝛼 {\displaystyle\oint_{C}\Gamma(\alpha)\,d\alpha=\oint_{C}\int_{0}^{\infty}x^{{% \alpha-1}}e^{{-x}}\,dx\,d\alpha}
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SVG (12.478 KB / 4.141 KB) :

contour-integral Underscript upper C Endscripts normal upper Gamma times left-parenthesis alpha right-parenthesis times italic d alpha equals contour-integral Underscript upper C Endscripts integral Subscript 0 Superscript normal infinity Baseline x Superscript alpha minus 1 Baseline times e Superscript negative x Baseline times italic d x times italic d alpha

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Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Unknown MathTerm Tag: operator for \oint - Reason: An unknown or missing element occurred

Translation to Mathematica

In Mathematica:

Unknown MathTerm Tag: operator for \oint - Reason: An unknown or missing element occurred

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