Results 31 to 40 of about 1,663 (71)
Hypercomplex operator calculus for the fractional Helmholtz equation
Mathematical Methods in the Applied Sciences, Volume 47, Issue 14, Page 11439-11472, 30 September 2024.In this paper, we develop a hypercomplex operator calculus to treat fully analytically boundary value problems for the homogeneous and inhomogeneous fractional Helmholtz equation where fractional derivatives in the sense of Caputo and Riemann–Liouville are applied.
Nelson Vieira +3 more
wiley +1 more source
On an Euler–Abel Type Transform of Trigonometric Series
Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.In the paper, we give several limit case Euler–Abel type transforms for alternating cosine and sine series. Making use of a property of the operator of generalized difference, applied in the transforms, we give transforms for nonalternating series, which are stronger than similar transforms for alternating series given earlier.
N. Sh. Berisha +3 more
wiley +1 more source
Optimal Rational Approximations by the Modified Fourier Basis
Abstract and Applied Analysis, Volume 2018, Issue 1, 2018., 2018 We consider convergence acceleration of the modified Fourier expansions by rational trigonometric corrections which lead to modified‐trigonometric‐rational approximations. The rational corrections contain some unknown parameters and determination of their optimal values for improved pointwise convergence is the main goal of this paper.
Arnak V. Poghosyan +2 more
wiley +1 more source
An integrable system on the moduli space of rational functions and its variants
, 2002 We study several integrable Hamiltonian systems on the moduli spaces of meromorphic functions on Riemann surfaces (the Riemann sphere, a cylinder and a torus). The action-angle variables and the separated variables (in Sklyanin's sense) are related via a
Adams +23 more
core +2 more sources
Relaxation of nonlinear oscillations in BCS superconductivity
, 2005 The diagonal case of the $sl(2)$ Richardson-Gaudin quantum pairing model \cite{Richardson1,Richardson2,Richardson3,Richardson4,Richardson5,Richardson6,G audin76} is known to be solvable as an Abel-Jacobi inversion problem \cite{SOV,Kuznetzov,Kuz1,Kuz2 ...
Belokolos E D +18 more
core +1 more source
Jacobi Elliptic Functions and the Complete Solution to the Bead on the Hoop Problem
, 2012 Jacobi elliptic functions are flexible functions that appear in a variety of problems in physics and engineering. We introduce and describe important features of these functions and present a physical example from classical mechanics where they appear: a
Baker, Thomas E., Bill, Andreas
core +1 more source
Lower bounds for the number of limit cycles of trigonometric Abel equations [PDF]
, 2006 "Vegeu el resum a l'inici del document del fitxer adjunt"
Gasull i Embid, Armengol +3 more
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, 2018 The formal derivatives of the Yang-Baxter equation with respect to its spectral parameters, evaluated at some fixed point of these parameters, provide us with two systems of differential equations. The derivatives of the $R$ matrix elements, however, can
Vieira, R. S.
core +2 more sources
If Archimedes would have known functions [PDF]
, 2014 These are notes and slides from a Pecha-Kucha talk given on March 6, 2013. The presentation tinkered with the question whether calculus on graphs could have emerged by the time of Archimedes, if the concept of a function would have been available 2300 ...
Knill, Oliver
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Cauchy Type Integrals of Algebraic Functions
, 2003 We consider Cauchy type integrals $I(t)={1\over 2\pi i}\int_{\gamma} {g(z)dz\over z-t}$ with $g(z)$ an algebraic function. The main goal is to give constructive (at least, in principle) conditions for $I(t)$ to be an algebraic function, a rational ...
Pakovich, F., Roytvarf, N., Yomdin, Y.
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