Results 11 to 20 of about 212,516 (270)

Elfun18 – A collection of MATLAB functions for the computation of elliptic integrals and Jacobian elliptic functions of real arguments

open access: yesSoftwareX, 2019
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
doaj   +3 more sources

Cyclic Identities Involving Jacobi Elliptic Functions [PDF]

open access: yesJournal of Mathematical Physics, 2002
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
core   +4 more sources

He's frequency–amplitude formulation for nonlinear oscillators using Jacobi elliptic functions

open access: yesJournal of Low Frequency Noise, Vibration and Active Control, 2020
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
doaj   +2 more sources

An elementary treatise on elliptic functions as trigonometry

open access: yesAlifmatika, 2023
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
doaj   +1 more source

Refined Verlinde formulas for Hilbert schemes of points and moduli spaces of sheaves on K3 surfaces [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2020
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
doaj   +1 more source

Duality in elliptic Ruijsenaars system and elliptic symmetric functions

open access: yesEuropean Physical Journal C: Particles and Fields, 2021
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
doaj   +1 more source

Construction of exotical soliton-like for a fractional nonlinear electrical circuit equation using differential-difference Jacobi elliptic functions sub-equation method

open access: yesResults in Physics, 2022
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
doaj   +1 more source

Elliptical Functional Models

open access: yesJournal of Multivariate Analysis, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vilca Labra, F   +2 more
openaire   +2 more sources

Further results about the exact solutions of conformable space–time fractional Boussinesq equation (FBE) and breaking soliton (Calogero) equation

open access: yesResults in Physics, 2022
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
doaj   +1 more source

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