Three new $q$-Abel transformations and their applications
- Resource Type
- Working Paper
- Authors
- Xu, Jianan; Ma, Xinrong
- Source
- Subject
- Mathematics - Combinatorics
Mathematics - Classical Analysis and ODEs
33D15, 33D65
- Language
In the present paper, we establish three special $q$-Abel transformation formulae of $q$-series via the use of Abel's lemma on summation by parts. As direct applications, we set up the corresponding $q$-contiguous relations for three kinds of truncated $q$-series. Several new transformations are consequently established.
Comment: 22