2023/09/06 by Jianan Xu, Xu, Jianan, Xinrong Ma +1
Mathematics · #33D15 #33D65 #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical and Theoretical Analysis
paper · pdf · doi:10.48550/arxiv.2309.02630
openalex publication_date 2023/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.