Fourier Expansions of Rational Fractions of Elliptic Integrals and Jacobian Elliptic Functions

DOI10.1137/0511048zbMath0459.33001OpenAlexW2093997702MaRDI QIDQ3909308

Ray G. Langebartel

Publication date: 1980

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0511048

zbMATH Keywords

elliptic functionsFourier serieselliptic integrals

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Elliptic functions and integrals (33E05)

Related Items (5)

A NONINTEGRABILITY CRITERION FOR ADIABATIC SYSTEMS ⋮ Formulation of the restricted three-body problem with two-center problem orbits as intermediate orbits ⋮ Fourier series of rational fractions of Jacobian elliptic functions ⋮ Coexistence of the chaos and the periodic solutions in planar fluid flows ⋮ ESTIMATION OF CHAOTIC THRESHOLDS FOR THE RECENTLY PROPOSED ROTATING PENDULUM

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