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Orthogonal polynomials on the unit circle satisfying a second-order differential equation with varying polynomial coefficients
(Taylor & Francis Ltd, 2016-01-01)
Consider the linear second-order differential equation An(z) y+ B-n(z) y' + C(n)y = 0, where A(n)(z) = a(2), nz(2) + a(1,n)z + a(0), n with a(2), n = 0, a2 1, n - 4a2, na0, n = 0,. n. N or a2, n = 0, a1, n = 0,. n. N, Bn(z) ...
La silla-nodo compleja
(Universidad San Ignacio de Loyola, 2011)
In this paper establishes the formal locally a field of complex dimension two, in the vicinity of an isolated singular point, whose Taylor series expansion (around the isolated singularity) has linear part with a zero ...
La silla-nodo compleja
(Universidad San Ignacio de Loyola, 2011)
In this paper establishes the formal locally a field of complex dimension two, in the vicinity of an isolated singular point, whose Taylor series expansion (around the isolated singularity) has linear part with a zero ...
La silla-nodo compleja
(Universidad San Ignacio de Loyola, 2011)
In this paper establishes the formal locally a field of complex dimension two, in the vicinity of an isolated singular point, whose Taylor series expansion (around the isolated singularity) has linear part with a zero ...
A software package for Lie algebraic computations
(SIAM PUBLICATIONS, 2005)
The paper presents a computer algebra package that facilitates Lie algebraic symbolic computations required in the solution of a variety of problems, such as the solution of right-invariant differential equations evolving ...
Quaternionic differential operators
(Amer Inst PhysicsMelvilleEUA, 2001)
Optimal control of bilinear systems in a complex space setting
(Elsevier B.V., 2017)
In this paper we discuss optimality conditions for optimal control problems with a semigroup structure. As an application we detail the case when the state equation is the Schrödinger one, with pointwise constraints on the ...
Δ-PINNs: Physics-informed neural networks on complex geometries
(2024)
Physics-informed neural networks (PINNs) have demonstrated promise in solving forward and inverse problems involving partial differential equations. Despite recent progress on expanding the class of problems that can be ...
Partial Differential Equations/Optimal Control. Controllability of the Ginzburg–Landau equation
(Elsevier B.V., 2008-02)
This Note investigates the boundary controllability, as well as the internal controllability, of the complex Ginzburg–Landau
equation. Null-controllability results are derived from a Carleman estimate and an analysis based ...
Variations for Some Painlevé Equations
(SIGMA, 2019)
This paper rst discusses irreducibility of a Painlev e equation P. We explain
how the Painlev e property is helpful for the computation of special classical and algebraic
solutions. As in a paper of Morales-Ruiz we ...