Landau constants and their q-analogues

    Authors

    M. E. H. Ismail; X. Li;M. Rahman

    Comments

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    Abbreviated Journal Title

    Anal. Appl.

    Keywords

    Landau constants; hypergeometric representation; transformation; formulas; analytic extension; LEBESGUE; Mathematics, Applied; Mathematics

    Abstract

    We derive inequalities and a complete asymptotic expansion for the Landau constants G(n), as n - > infinity using the asymptotic sequence n!/(n + k)!. We also introduce a q-analogue of the Landau constants and calculate their large degree asymptotics. In the process, we also establish q-analogues of identities due to Ramanujan and Bailey.

    Journal Title

    Analysis and Applications

    Volume

    13

    Issue/Number

    2

    Publication Date

    1-1-2015

    Document Type

    Article

    Language

    English

    First Page

    15

    WOS Identifier

    WOS:000351223500006

    ISSN

    0219-5305

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