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Book Synopsis

- Part I Asymptotic expansions.- Taylor expansions.- Gevrey formal power series.- Gevrey asymptotics.- Part II Summability.- k-summability: definition and first algebraic properties.- First characterization of the k-summability: the successive derivatives.- Second characterization of the k-summability: the Borel-Laplace method.- Part III Moment summability.- Moment functions and moment operators.- Moment-Borel-Laplace method and summability.- Linear moment partial differential equations.

Asymptotic Expansions and Summability

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A Paperback by Pascal Remy

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    View other formats and editions of Asymptotic Expansions and Summability by Pascal Remy

    Publisher: Springer
    Publication Date: 7/2/2024
    ISBN13: 9783031590931, 978-3031590931
    ISBN10: 3031590937
    Also in:
    Calculus and mathematical analysis

    Description

    Book Synopsis

    - Part I Asymptotic expansions.- Taylor expansions.- Gevrey formal power series.- Gevrey asymptotics.- Part II Summability.- k-summability: definition and first algebraic properties.- First characterization of the k-summability: the successive derivatives.- Second characterization of the k-summability: the Borel-Laplace method.- Part III Moment summability.- Moment functions and moment operators.- Moment-Borel-Laplace method and summability.- Linear moment partial differential equations.

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