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Asymptotic analysis via calculus of hypergeometric functions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F16%3A%230000508" target="_blank" >RIV/47813059:19610/16:#0000508 - isvavai.cz</a>

  • Result on the web

    <a href="http://www.sciencedirect.com/science/article/pii/S0022247X15008045" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0022247X15008045</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jmaa.2015.08.066" target="_blank" >10.1016/j.jmaa.2015.08.066</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Asymptotic analysis via calculus of hypergeometric functions

  • Original language description

    The generalized hypergeometric function satisfies many identities or "transforms" which can be used to establish their asymptotic behavior for large argument and even, in some cases, for large parameters. We will show that using just three transforms alone, valid for a large class of multivariate hypergeometric functions, we can use a similar "calculus" to compute asymptotic expansions even in higher dimensions.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2016

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Mathematical Analysis and Applications

  • ISSN

    0022-247X

  • e-ISSN

  • Volume of the periodical

    433

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    31

  • Pages from-to

    1790-1820

  • UT code for WoS article

    000362048700059

  • EID of the result in the Scopus database

    2-s2.0-84942191066