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Given algebraic $a$, find the closed form of $\int_0^a \dfrac{dx}{\sqrt{1-x^4}}$

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#definite-integrals #closed-form #elliptic-integrals #elliptic-functions
194
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Minimal polynomial of $\operatorname{cd}\frac{4K}{n}$

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#abstract-algebra #definite-integrals #minimal-polynomials #elliptic-integrals #elliptic-functions
32
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What is the range of the Weierstrass elliptic function?

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#elliptic-functions
31
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Weierstrass sigma function identity - Silverman AEC 6.3

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#elliptic-curves #elliptic-functions
171
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Proving $\sum_{n=-\infty}^\infty n^2e^{-\pi n^2}=\frac{\Gamma (1/4)}{4\sqrt{2}\pi^{7/4}}$

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#sequences-and-series #complex-analysis #closed-form #gamma-function #elliptic-functions
99
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Proof that $\zeta (z)=\frac{\sigma '(z)}{\sigma (z)}$

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#sequences-and-series #complex-analysis #uniform-convergence #elliptic-functions
315
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Values for which $\frac{K(k')}{K(k)}=a+i$ where $a$ is an algebraic number.

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#integration #reference-request #gamma-function #elliptic-integrals #elliptic-functions
57
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Representation of Weierstraß $\wp$ function for $\Lambda=\Bbb Z+\Bbb Z i$ as series over trigonometric function

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#sequences-and-series #trigonometric-series #elliptic-functions
89
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Is $\int \operatorname{sn}^2u\,\mathrm du$ really irreducible?

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#real-analysis #integration #indefinite-integrals #elliptic-integrals #elliptic-functions
34
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Second order homogeneous ODE with Jacobi elliptic coefficient

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#ordinary-differential-equations #elliptic-functions
48
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Integrals of (Jacobi) elliptic functions

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#indefinite-integrals #elliptic-integrals #elementary-functions #elliptic-functions
50
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Second order differential equation with function of Jacobi elliptic function as a solution

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#ordinary-differential-equations #elliptic-functions
33
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Elliptic functions by Eisenstein-Kronecker

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#elliptic-functions #theta-functions
47
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Real elliptic curve embedded into complex torus

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#complex-analysis #elliptic-curves #modular-forms #visualization #elliptic-functions
111
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Reference request: Elliptic Integrals and Elliptic Functions

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#reference-request #elliptic-curves #elliptic-functions

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