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15
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Half-periods ratio for the $\wp$-Weierstrass function

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#special-functions #elliptic-functions
114
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Simplifications of the Elliptic integral $\displaystyle J_n(r)=\int^r_{r_0}\frac{x^n}{\sqrt{(x-x_1)(x-x_2)(x-x_3)}}$ for specific values of $n$.

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#elliptic-integrals #elliptic-functions
41
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Implementation of derivative of first Jacobi theta function

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#special-functions #computational-mathematics #elliptic-functions
94
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Relationship between Eisenstein series $E_2$ and Eisenstein series $G_2$

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#sequences-and-series #special-functions #elliptic-functions
35
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Restriction of Weierstrass $\wp$-function

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#special-functions #elliptic-functions
96
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Parameterization of the Costa-Hoffman-Meeks surface

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#special-functions #parametrization #elliptic-functions
77
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The lattice $\displaystyle \Lambda $ associated to the pendulum equation is rectangular

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#elliptic-curves #riemann-surfaces #elliptic-functions
94
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Expressing inverse beta regularized in terms of Riemann/Siegel theta

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#special-functions #inverse-function #elliptic-functions #abelian-varieties #theta-functions
88
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Writing an integral in terms of special functions

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#integration #indefinite-integrals #special-functions #elliptic-functions
276
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Euler's derivation of Lemniscate addition theorem

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#ordinary-differential-equations #elliptic-integrals #elliptic-functions
69
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How to integrate Elliptic function with gaussian kernel

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#integration #elliptic-integrals #elliptic-functions
55
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Classification of principal divisors on complex elliptic curves

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#complex-analysis #elliptic-curves #elliptic-functions
47
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Deriving an asymptotic expansion for the $\mathrm{sn}(x,k)$ Jacobian elliptic function

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#asymptotics #taylor-expansion #elliptic-functions
265
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Why does absolute convergence allow the order of summation to be changed? (Laurent expansion of the Weierstrass $\wp$-function)

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#sequences-and-series #complex-analysis #number-theory #absolute-convergence #elliptic-functions
100
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Line bundle of complex tori

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#elliptic-curves #vector-bundles #elliptic-functions #abelian-varieties #theta-functions

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