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Rational approximation to Neumann series of Bessel functions

Numerical Algorithms, 1992
Rational approximations to the Bessel expansions (Neumann series) is constructed. This approach can be applied to obtain Padé type approximations to analytic functions without knowing the coefficients of the corresponding Taylor expansions.
Hayek Calil, Nácere   +2 more
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VI.—Neumann-Series Solutions of the Ellipsoidal Wave Equation

Proceedings of the Royal Society of Edinburgh. Section A. Mathematical and Physical Sciences, 1965
SynopsisThe ellipsoidal wave equation is the name given to the ordinary differential equation which arises when the wave equation (Helmholtz equation) is separated in ellipsoidal co-ordinates. In this paper, solutions of the equation are expressed as Neumann series (series of Bessel functions of increasing order).
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NEUMANN SERIES SOLUTION FOR THE INTEGRAL BOLTZMANN TRANSPORT EQUATION

Acta Mathematica Scientia, 1986
Summary: A method based on the Neumann series is proposed for solving stationary linear integral Boltzmann transport equations with variable energy for the case of both distributed and isotropic deltalike sources, by working in L p (1\(\leq p\leq \infty)\). The convergence of the Neumann series and the convergence rate are established.
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Convergence of the Neumann Series in Higher Norms

Communications in Partial Differential Equations, 2005
Natural conditions on an operator A are given so that the Neumann series for (Id + A)−1 converges in higher norm topologies.
openaire   +1 more source

Neumann Series Analysis of the Wigner Equation Solution

2016
The existence and uniqueness of the electron transport Wigner equation solution, determined by boundary conditions, is analyzed in terms of the Neumann series expansion of the integral form of the equation, obtained with the help of Newton’s trajectories.
I. Dimov   +3 more
openaire   +1 more source

Summability of the Heine and Neumann Series of Legendre Polynomials

Canadian Journal of Mathematics, 1966
With a holomorphic function f(z) defined in a domain H which includes the closed interval [—1, 1] we associate the Neumann series1where Pn(z), Qn(t) are, respectively, the nth Legendre polynomials of the first and second kind and γ is a closed and rectifiable Jordan curve which includes [— 1, 1] in its interior and is included, together with its ...
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Neumann Series

2017
Árpád Baricz   +2 more
openaire   +1 more source

Low-complexity MMSE detector based on the first-order Neumann series expansion for massive MIMO systems

IEEE Latin-American Conference on Communications, 2017
Juan Minango, C. D. Almeida
semanticscholar   +1 more source

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