Landau constants and their q-analogues

    Authors

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

    Comments

    Authors: contact us about adding a copy of your work at [email protected]

    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

    Share

    COinS
     

    Accessibility Statement

    This item was created or digitized prior to April 24, 2027, or is a reproduction of legacy media created before that date. It is preserved in its original, unmodified state specifically for research, reference, or historical recordkeeping. In accordance with the ADA Title II Final Rule, the University Libraries provides accessible versions of archival materials upon request. To request an accommodation for this item, please submit an accessibility request form.