Listar Dpto. Ingeniería Matemática e Informática - Matematika eta Informatika Ingeniaritza Saila por título
Mostrando ítems 78-82 de 82
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Ubiquitous connected train based on train-to-ground and intra-wagon communications capable of providing on trip customized digital services for passengers
During the last years, the application of different wireless technologies has been explored in order to enable Internet connectivity from vehicles. In addition, the widespread adoption of smartphones by citizens represents ... -
Uniform convergent expansions of the Gauss hypergeometric function in terms of elementary functions
We consider the hypergeometric function 2F1(a, b; c; z) for z ∈ C \ [1,∞). For Ra ≥ 0, we derive a convergent expansion of 2F1(a, b; c; z) in terms of the function (1 − z)−a and of rational functions of z that is uniformly ... -
Uniform representation of the incomplete beta function in terms of elementary functions
We consider the incomplete beta function Bz(a, b) in the maximum domain of analyticity of its three variables: a, b, z ∈ C, −a /∈ N, z /∈ [1, ∞). For <b ≤ 1 we derive a convergent expansion of z−aBz(a, b) in terms of the ... -
The use of two-point Taylor expansions in singular one-dimensional boundary value problems I
We consider the second-order linear differential equation (x + 1)y′′ + f(x)y′ + g(x)y = h(x) in the interval (−1, 1) with initial conditions or boundary conditions (Dirichlet, Neumann or mixed Dirichlet-Neumann). The ... -
Zernike-like systems in polygons and polygonal facets
Zernike polynomials are commonly used to represent the wavefront phase on circular optical apertures, since they form a complete and orthonormal basis on the unit disk. In [Diaz et all, 2014] we introduced a new Zernike ...