Title
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
Copyright Status
Unknown
Socpus ID
84928612489 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84928612489
STARS Citation
Ismail, Mourad E.H.; Li, Xin; and Rahman, M., "Landau Constants And Their Q-Analogues" (2015). Scopus Export 2015-2019. 541.
https://stars.library.ucf.edu/scopus2015/541