$q$-Analogs of $\pi$-related formulas from Jackson's $_8\phi_7$-series via the inversion approach

UDC 517.588, 517.52 By using the multiplicative form of the extended Carlitz inverse-series relations, we establish two general ``dual'' theorems on Jackson's summation formula for the well-poised $_8\phi_7$-series. Their duplicate forms under the partition pattern $n = \B...

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Datum:2026
Hauptverfasser: Chen, Xiaojing, Chu, Wenchang
Format: Artikel
Sprache:Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2026
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/9405
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal

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Ukrains’kyi Matematychnyi Zhurnal