Landau constants and their q-analogues
2015 ◽
Vol 13
(02)
◽
pp. 217-231
◽
We derive inequalities and a complete asymptotic expansion for the Landau constants Gn, as n → ∞ 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.
2006 ◽
Vol 463
(2079)
◽
pp. 697-710
◽
2017 ◽
Vol 13
(08)
◽
pp. 2097-2113
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2005 ◽
Vol 02
(01)
◽
pp. 77-89
◽
1997 ◽
Vol 208
(1)
◽
pp. 109-119
◽
1992 ◽
Vol 439
(1906)
◽
pp. 373-396
◽
2005 ◽
Vol 42
(4)
◽
pp. 1081-1094
◽