Listar Artículos de revista DIMI - MIIS Aldizkari artikuluak por autor UPNA "López García, José Luis"
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Representations of hypergeometric functions for arbitrary parameter values and their use
Karp, D. B.; López García, José Luis
(2017)
Artículo / Artikulua 
Integral representations of hypergeometric functions proved to be a very useful tool for studying their properties. The purpose of this paper is twofold. First, we extend the known representations to arbitrary values of ... -
A simplification of the stationary phase method: application to the Anger and Weber functions
López García, José Luis (Kent State UniversityJohann Radon Institute (RICAM), 2017)
Artículo / Artikulua
The main difficulty in the practical use of the stationary phase method in asymptotic expansions of integrals is originated by a change of variables. The coefficients of the asymptotic expansion are the coefficients of the ... -
Uniform convergent expansions of the Gauss hypergeometric function in terms of elementary functions
Ferreira González, Chelo; López García, José Luis ; Pérez Sinusía, Ester (Taylor & Francis, 2018)
Artículo / Artikulua
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
Ferreira González, Chelo; López García, José Luis ; Pérez Sinusía, Ester (Kent State UniversityJohann Radon Institute (RICAM), 2018)
Artículo / Artikulua
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
Ferreira González, Chelo; López García, José Luis ; Pérez Sinusía, Ester (Elsevier, 2018)
Artículo / Artikulua
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
Ferreira González, Chelo; López García, José Luis ; Navarro, Rafael; Pérez Sinusía, Ester (Optical Society of America, 2015)
Artículo / Artikulua
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 ...
