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We outline a set of MATLAB functions that enable the computation of elliptic integrals and Jacobian elliptic functions for real arguments. The correctness, robustness, efficiency, and accuracy of the functions are discussed in detail.
Milan Batista
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Cyclic Identities Involving Jacobi Elliptic Functions [PDF]
We state and discuss numerous mathematical identities involving Jacobi elliptic functions sn(x,m), cn(x,m), dn(x,m), where m is the elliptic modulus parameter. In all identities, the arguments of the Jacobi functions are separated by either 2K(m)/p or 4K(
Avinash Khare +3 more
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He's frequency–amplitude formulation for nonlinear oscillators using Jacobi elliptic functions
In this work, the Duffing’s type analytical frequency–amplitude relationship for nonlinear oscillators is derived by using Hés formulation and Jacobi elliptic functions.
Alex Elías-Zúñiga +4 more
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An elementary treatise on elliptic functions as trigonometry
This article concerns the examination of trigonometric identities from an elliptic perspective. The treatment of elliptic functions presented herein adheres to a structure analogous to the traditional exposition of trigonometric functions, with the ...
Laith H. M. Al-ossmi
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Refined Verlinde formulas for Hilbert schemes of points and moduli spaces of sheaves on K3 surfaces [PDF]
We compute generating functions for elliptic genera with values in line bundles on Hilbert schemes of points on surfaces. As an application we also compute generating functions for elliptic genera with values in determinant line bundles on moduli spaces ...
Lothar Göttsche
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Duality in elliptic Ruijsenaars system and elliptic symmetric functions
We demonstrate that the symmetric elliptic polynomials $$E_\lambda (x)$$ E λ ( x ) originally discovered in the study of generalized Noumi–Shiraishi functions are eigenfunctions of the elliptic Ruijsenaars–Schneider (eRS) Hamiltonians that act on the ...
A. Mironov, A. Morozov, Y. Zenkevich
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The deal of this paper is to use the differential-difference Jacobi elliptic functions sub-equation method for constructing exact solutions of nonlinear electrical circuit including intrinsic fractional-order in the sense of Riemann–Liouville derivatives.
Emmanuel Fendzi-Donfack +5 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vilca Labra, F +2 more
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Seeking for the exact solutions of fractional nonlinear partial differential equations (FNPDE) has penetrated into almost every discipline of the natural, engineering, mathematics, and social sciences.
Hongyu Chen, Qinghao Zhu, Jianming Qi
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