Results 101 to 110 of about 446,531 (268)
A note on the squarefree density of polynomials
Mathematika, Volume 70, Issue 4, October 2024.Abstract The conjectured squarefree density of an integral polynomial P$\mathcal {P}$ in s$s$ variables is an Euler product SP$\mathfrak {S}_{\mathcal {P}}$ which can be considered as a product of local densities. We show that a necessary and sufficient condition for SP$\mathfrak {S}_{\mathcal {P}}$ to be 0 when P∈Z(X1,…,Xs)$\mathcal {P}\in \mathbb {Z}(
R. C. Vaughan, Yu. G. Zarhin
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AIMS MathematicsThis research paper focused on the solution of systems of fractional integro-differential equations (FIDEs) of the Volterra type with variable coefficients. The proposed approach combined the tau method and shifted Gegenbauer polynomials in a matrix form.
Khadijeh Sadri +4 more
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Momentum-space conformal blocks on the light cone
Journal of High Energy Physics, 2018 We study the momentum-space 4-point correlation function of identical scalar operators in conformal field theory. Working specifically with null momenta, we show that its imaginary part admits an expansion in conformal blocks.
Marc Gillioz
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On the relation between Gegenbauer polynomials and the Ferrers function of the first kind [PDF]
, 2021 Howard S. Cohl, Roberto S. Costas-Santos
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Quantum algebra approach to q Gegenbauer polynomials
Journal of Computational and Applied Mathematics, 1995 Quantum algebras provide a natural algebraic setting for \(q\)-special functions. The matrix elements of certain algebra generators in irreducible representations are in fact expressible in terms of \(q\)- hypergeometric series. The author here takes the quantum algebra \({\mathcal U}_q (\text{su} (1,1))\) as example, to show that its metaplectic ...
Roberto Floreanini, Luc Vinet
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Noise‐Tailored Constructions for Spin Wigner Function Kernels
Advanced Physics Research, Volume 3, Issue 6, June 2024.This work explores the parameterization of spin Wigner functions to efficiently represent the effects of probabilistic unitary noise on a quantum state. Block diagonalization of the noise operator algebra is used to reduce the required number of parameters while maintaining the Stratonovich–Weyl conditions for the representation.
Michael Hanks, Soovin Lee, M.S. Kim
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Orthogonal Polynomials and Sharp Estimates for the Schr\"odinger Equation
, 2017 In this paper we study sharp estimates for the Schr\"odinger operator via the framework of orthogonal polynomials. We use spherical harmonics and Gegenbauer polynomials to prove a new weighted inequality for the Schr\"odinger equation that is maximized ...
Gonçalves, Felipe
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A Non‐Standard Coupling Between Quantum Systems Originated From Their Kinetic Energy
Annalen der Physik, Volume 536, Issue 3, March 2024.A novel approach to quantum coupling is introduced, departing from the conventional potential‐based interaction in standard quantum mechanics. Within this framework, a quantum coupling emerges from the inherent kinetic energy of particles. This unorthodox coupling results in the transformation of quantum mechanics' fundamental landscape through the ...
Tomer Shushi
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Modified wavelets–based algorithm for nonlinear delay differential equations of fractional order
Advances in Mechanical Engineering, 2017 Most of the physical phenomena located around us are nonlinear in nature and their solutions are of great significance for scientists and engineers. In order to have a better representation of these physical phenomena, fractional calculus is developed ...
Muhammad Asad Iqbal +3 more
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Journal of Mathematics, Volume 2024, Issue 1, 2024.In this paper, a numerical method is applied to approximate the solution of variable‐order fractional‐functional optimal control problems. The variable‐order fractional derivative is described in the type III Caputo sense. The technique of approximating the optimal solution of the problem using Lagrange interpolating polynomials is employed by ...
Zahra Pirouzeh +3 more
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