Landau constants and their q-analogues
Abbreviated Journal Title
Landau constants; hypergeometric representation; transformation; formulas; analytic extension; LEBESGUE; Mathematics, Applied; Mathematics
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.
Analysis and Applications
"Landau constants and their q-analogues" (2015). Faculty Bibliography 2010s. 6592.