Three new $q$-Abel transformations and their applications
Combinatorics
2023-09-07 v1 Classical Analysis and ODEs
Abstract
In the present paper, we establish three special -Abel transformation formulae of -series via the use of Abel's lemma on summation by parts. As direct applications, we set up the corresponding -contiguous relations for three kinds of truncated -series. Several new transformations are consequently established.
Keywords
Cite
@article{arxiv.2309.02630,
title = {Three new $q$-Abel transformations and their applications},
author = {Jianan Xu and Xinrong Ma},
journal= {arXiv preprint arXiv:2309.02630},
year = {2023}
}
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