Listar Artículos de revista INAMAT2 - INAMAT2 aldizkari artikuluak por tema "Uniform expansions"
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An analytic representation of the second symmetric standard elliptic integral in terms of elementary functions
Bujanda Cirauqui, Blanca
; López García, José Luis ; Pagola Martínez, Pedro Jesús ; Palacios Herrero, Pablo (Springer, 2022)
Artículo / Artikulua 
We derive new convergent expansions of the symmetric standard elliptic integral RD(x,y,z), for x,y,z∈C∖(−∞,0], in terms of elementary functions. The expansions hold uniformly for large and small values of one of the three ... -
Convergent expansions of the Bessel functions in terms of elementary functions
López García, José Luis ; Pagola Martínez, Pedro Jesús (Springer US, 2018)
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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 approximations of the first symmetric elliptic integral in terms of elementary functions
Bujanda Cirauqui, Blanca ; López García, José Luis ; Pagola Martínez, Pedro Jesús ; Palacios Herrero, Pablo (Springer, 2022)
Artículo / Artikulua
We consider the standard symmetric elliptic integral RF(x, y, z) for complex x, y, z. We derive convergent expansions of RF(x, y, z) in terms of elementary functions that hold uniformly for one of the three variables x, y ... -
Uniform convergent expansions of integral transforms
López García, José Luis ; Palacios Herrero, Pablo ; Pagola Martínez, Pedro Jesús (American Mathematical Society, 2021)
Artículo / Artikulua
Several convergent expansions are available for most of the special functions of the mathematical physics, as well as some asymptotic expansions [NIST Handbook of Mathematical Functions, 2010]. Usually, both type of ... -
Uniform convergent expansions of the error function in terms of elementary functions
Ferreira González, Chelo; López García, José Luis ; Pérez Sinusía, Ester (Springer, 2023)
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We derive a new analytic representation of the error function erfz in the form of a convergent series whose terms are exponential and rational functions. The expansion holds uniformly in z in the double sector | arg (±z) ... -
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)
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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)
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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 ... -
Uniformly convergent expansions for the generalized hypergeometric functions p –1Fp and pFp
López García, José Luis ; Pagola Martínez, Pedro Jesús ; Karp, D. B. (Taylor & Francis, 2020)
Artículo / Artikulua
We derive a convergent expansion of the generalized hypergeometric function p−1 F p in terms of the Bessel functions 0 F 1 that holds uniformly with respect to the argument in any horizontal strip of the complex plane. We ...
