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A nome integral :$\int_0^1\text q(x)dx=1-\int_0^1\text q^{-1}(x) dx$

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#integration #definite-integrals #modular-forms #elliptic-integrals #elliptic-functions
65
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The integral change if we change the domain.

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#complex-analysis #elliptic-curves #riemann-surfaces #elliptic-integrals
68
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$H_1(\mathbb{C}/\Lambda, \mathbb{Z})$ → $\Lambda$ via the map $f:\gamma \mapsto \int_\gamma dz$ is surjective?

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#elliptic-curves #integer-lattices #elliptic-integrals
36
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Integration in the van der Waals attractive potential

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#integration #indefinite-integrals #elliptic-integrals
118
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Heuman function in Matlab - intersection between sphere and cylinder

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#integration #matlab #volume #intersection-theory #elliptic-integrals
190
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Asymptotic expansion of elliptic integrals of 1st and 2nd kind as m approaches 0

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#asymptotics #elliptic-integrals #global-analysis
85
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Legendre's Complete Elliptic Integral of the 1st Kind - Calculating the argument

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#definite-integrals #elliptic-integrals #elliptic-functions #legendre-functions
106
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Converting $\intop_{0}^{a}\sqrt{\frac{a^{2}-x^{2}}{1-x^{2}}}dx$ to elliptic integral

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#elliptic-integrals
357
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Alternative series expansion for the elliptic integral of the second kind

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#power-series #taylor-expansion #elliptic-integrals #elliptic-functions
215
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Elliptic Integral along complex path

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#integration #indefinite-integrals #elliptic-curves #elliptic-integrals #elliptic-functions
111
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Approximate Trigonometric Integral

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#definite-integrals #approximation #trigonometric-integrals #elliptic-integrals
76
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Solving a second-order nonlinear ordinary differential equation with trigonometric terms

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#ordinary-differential-equations #elliptic-integrals
191
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Determine whether $\frac{K\left(\sqrt{1-x^2}\right)^2}{K(x)^2}$ is positive rational (given $x$)

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#complex-analysis #definite-integrals #class-field-theory #elliptic-integrals #modular-function
184
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Generating function for the squared Catalan numbers

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#generating-functions #hypergeometric-function #elliptic-integrals #catalan-numbers #hadamard-product
181
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Simplifing double integral. Is it possible to evaluate analytically?

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#integration #definite-integrals #elliptic-integrals

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