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    Convergent expansions of the incomplete gamma functions in terms of elementary functions

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    Date
    2017
    Author
    Bujanda Cirauqui, Blanca Upna Orcid
    López García, José Luis Upna Orcid
    Pagola Martínez, Pedro Jesús Upna
    Version
    Acceso abierto / Sarbide irekia
    Type
    Artículo / Artikulua
    Version
    Versión aceptada / Onetsi den bertsioa
    Project Identifier
    ES/1PE/MTM2014-53178 
    ES/1PE/TEC2013-45585 
    Impact
     
     
     
    10.1142/S0219530517500099
     
     
     
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    Abstract
    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 below. These expansions, multiplied by ez, are expansions of ezz−aγ(a,z) uniformly convergent in z with Rz bounded from above. The expansions are accompanied by realistic error bou ... [++]
    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 below. These expansions, multiplied by ez, are expansions of ezz−aγ(a,z) uniformly convergent in z with Rz bounded from above. The expansions are accompanied by realistic error bounds. [--]
    Subject
    Incomplete gamma functions, Convergent expansions, Uniform expansions
     
    Publisher
    World Scientific Publishing
    Published in
    Analysis and Applications, vol. 16, no. 03
    Departament
    Universidad Pública de Navarra. Departamento de Ingeniería Matemática e Informática / Nafarroako Unibertsitate Publikoa. Matematika eta Informatika Ingeniaritza Saila / Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa. InaMat - Institute for Advanced Materials
     
    Publisher version
    https://doi.org/10.1142/S0219530517500099
    URI
    https://hdl.handle.net/2454/31776
    Sponsorship
    This research was supported by the Spanish Ministry of Economía y Competitividad, projects MTM2014-53178-P and TEC2013-45585-C2-1-R. The Universidad Pública de Navarra is acknowledged by its financial support.
    Appears in Collections
    • Artículos de revista DIMI - MIIS Aldizkari artikuluak [58]
    • Artículos de revista - Aldizkari artikuluak [4205]
    • Artículos de revista InaMat - InaMat aldizkari artikuluak [233]
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