Title of article
On inequalities and asymptotic expansions for the Landau constants
Author/Authors
Granath، نويسنده , , Hهkan، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2012
Pages
6
From page
738
To page
743
Abstract
We demonstrate how arbitrarily sharp asymptotic expansions for the Landau constants can be derived, and we prove some related inequalities. The main tool used is Brounckerʼs continued fraction formula. We also show that the implied series expansion of the Landau constants is in fact divergent.
Keywords
Landau constants , Asymptotic expansions , Brouncker?s formula , Continued fractions , inequalities
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2012
Journal title
Journal of Mathematical Analysis and Applications
Record number
1562366
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