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math.CO2023
Some q-Identities derived by the ordinary derivative operator
Jin Wang, Ruiqi Ruan, Xinrong Ma
In this paper, we investigate applications of the ordinary derivative operator, instead of the -derivative operator, to the theory of -series. As main results, many new summa…
math.CA2023★ 1 cited
General -series transformations based on Abel's lemma on summation by parts and their applications
Jianan Xu, Xinrong Ma
In this paper, we establish three new and general transformations with sixteen parameters and bases via Abel's lemma on summation by parts. As applications, we set up a lot of new…