- Title
- Heine's basic transform and a permutation group for q-harmonic series
- Creator
- Zudilin, W.
- Relation
- Acta Arithmetica Vol. 111, Issue 2, p. 153-164
- Publisher Link
- http://dx.doi.org/10.4064/aa111-2-4
- Publisher
- Institute of Mathematics of the Polish Academy of Sciences
- Resource Type
- journal article
- Date
- 2004
- Description
- More than 150 years ago, E. Heine considered the series [formula unable to be reproduced here] and proved several results for it. Today generalized Heine series become an actively investigated part of modern mathematics and a lot of papers and monographs are devoted to their study. The aim of this note is to make use of Heine's transform (1) to deduce a sharp irrationality measure for the q-harmonic series.
- Subject
- Heine; transform; q-harmonic series; irrationality; mathematics
- Identifier
- http://hdl.handle.net/1959.13/934996
- Identifier
- uon:11940
- Identifier
- ISSN:0065-1036
- Language
- eng
- Full Text
- Reviewed
- Hits: 3827
- Visitors: 3936
- Downloads: 145
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT03 | Author final version | 139 KB | Adobe Acrobat PDF | View Details Download |