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A question about integration of a orthogonal function

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#calculus #integration #cauchy-principal-value
1.8k
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Derivative of $\ln|x|$ is the principal value of $1/x.$ Distribution Theory.

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#analysis #distribution-theory #cauchy-principal-value
68
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How to solve this Complex Integral using poles?

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#complex-integration #greens-function #cauchy-principal-value
2.1k
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Cauchy Principal Value calculation

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#complex-analysis #contour-integration #cauchy-principal-value
236
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Meaning of the principal part for an analytic limit (as opposed to an integral)?

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#limits #contour-integration #cauchy-principal-value
737
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Cauchy Principal Value and Residue Theorem: Apparent Contradiction

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#residue-calculus #cauchy-principal-value
112
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Relationship between cauchy principal value and integrability of a singular point

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#complex-analysis #contour-integration #analytic-continuation #cauchy-principal-value
61
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Using the Cauchy Principal Value along a differentiable contour?

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#complex-analysis #contour-integration #analytic-functions #cauchy-principal-value
366
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Double integral (Cauchy principal value integral)

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#integration #multivariable-calculus #change-of-variable #cauchy-principal-value
202
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Principal value of an integral

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#integration #cauchy-principal-value
151
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Why is the Lebesgue integral of $\frac{x}{1 + x^2}$ undefined

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#probability-theory #lebesgue-integral #cauchy-principal-value
394
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$\int_{-\infty}^\infty \frac{e^{pz}}{e^z-1}dz$ Cauchy principal value

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#complex-analysis #definite-integrals #improper-integrals #contour-integration #cauchy-principal-value
37
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Analytic continuation and complex integration of one variable of a multivariate function

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#complex-analysis #contour-integration #analytic-continuation #cauchy-principal-value
320
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Compute an integral about error function $\int_{-\infty}^{\infty} \frac{e^{-k^2}}{1-k} \mathrm{d}k$

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#integration #definite-integrals #error-function #cauchy-principal-value
212
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Reduction of a type of elliptic integral to Legendre normal form

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#integration #definite-integrals #improper-integrals #elliptic-integrals #cauchy-principal-value

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