Landau Constants And Their Q-Analogues

Keywords

analytic extension; hypergeometric representation; Landau constants; transformation formulas

Abstract

We derive inequalities and a complete asymptotic expansion for the Landau constants Gn, as nusing 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.

Publication Date

3-29-2015

Publication Title

Analysis and Applications

Volume

13

Issue

2

Number of Pages

217-231

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1142/S0219530514500201

Socpus ID

84928612489 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84928612489

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