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How to prove that $\wp''$'s zeros are not at half-periods?

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#number-theory #derivatives #roots #elliptic-functions
59
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Infinite series over lattice of Gaussian integers

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#complex-analysis #integer-lattices #elliptic-functions
155
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Conformal mapping between two right-angled triangles

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#complex-analysis #complex-geometry #hypergeometric-function #conformal-geometry #elliptic-functions
78
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How to calculate $ \int_{0}^{2K(k)} dn^2(u,k)\;du$?

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#real-analysis #integration #definite-integrals #elliptic-integrals #elliptic-functions
46
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How to calculate $ \int_{0}^{2K(k)} dn^4(u,k)\;du$?

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#real-analysis #integration #definite-integrals #elliptic-integrals #elliptic-functions
143
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Jacobi Elliptic Functions and Integrals

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#elliptic-functions
107
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Are there any analogues or generalizations of elliptic functions for quaternions?

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#quaternions #elliptic-functions
200
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Evaluate $\int_{0}^{K} \text{sn}^4(u;k)\;\text{du}$

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#real-analysis #definite-integrals #solution-verification #elliptic-integrals #elliptic-functions
126
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Proving Abel's theorem for elliptic functions

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#riemann-surfaces #elliptic-functions
51
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Deriving an accelerated sum for the Weierstrass $\wp$-function

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#complex-analysis #elliptic-functions
716
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Functions satisfying differential equation of the Weierstrass elliptic function $\wp$

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#complex-analysis #ordinary-differential-equations #special-functions #elliptic-functions
114
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Elliptic function as a solution of nonlinear differential equations.

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#complex-analysis #ordinary-differential-equations #elliptic-functions
1.1k
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Elliptic curve vs. Elliptic function

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#elliptic-curves #elliptic-functions
2.2k
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Curious integrals for Jacobi Theta Functions $\int_0^1 \vartheta_n(0,q)dq$

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#integration #definite-integrals #hyperbolic-functions #elliptic-functions #theta-functions
1.8k
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What is the Jacobi amplitude?

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#special-functions #elliptic-functions

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