Listar Artículos de revista DIMI - MIIS Aldizkari artikuluak por tema "Convergent expansions"
Mostrando ítems 1-5 de 5
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Convergent asymptotic expansions of Charlier, Laguerre and Jacobi polynomials
López García, José Luis
; Temme, Nico M. (Cambridge University Press, 2004)
Artículo / Artikulua 
Convergent expansions are derived for three types of orthogonal polynomials: Charlier, Laguerre and Jacobi. The expansions have asymptotic properties for large values of the degree. The expansions are given in terms of ... -
Convergent expansions of the Bessel functions in terms of elementary functions
López García, José Luis ; Pagola Martínez, Pedro Jesús (Springer US, 2018)
Artículo / Artikulua
We consider the Bessel functions Jν (z) and Yν (z) for ν > −1/2 and z ≥ 0. We derive a convergent expansion of Jν (z) in terms of the derivatives of (sin z)/z, and a convergent expansion of Yν (z) in terms of derivatives ... -
Convergent expansions of the incomplete gamma functions in terms of elementary functions
Bujanda Cirauqui, Blanca ; López García, José Luis ; Pagola Martínez, Pedro Jesús (World Scientific Publishing, 2017)
Artículo / Artikulua
We consider the incomplete gamma function γ(a,z) for Ra>0 and z∈C. We derive several convergent expansions of z−aγ(a,z) in terms of exponentials and rational functions of z that hold uniformly in z with Rz bounded from ... -
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 ...
