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math.NT2021
-Analogues of -Related Formulae from Jackson's -Series via Inversion Approach
Xiaojing Chen, Wenchang Chu
By making use of the multiplicate form of the extended Carlitz inverse series relations, we establish two general `dual' theorems of Jackson's summation formula for well--poised $_…
math.NT2021
Triplicate Dual Series of Dougall--Dixon Theorem
Xiaojing Chen, Wenchang Chu
Applying the triplicate form of the extended Gould--Hsu inverse series relations to Dougall's summation theorem for the well--poised -series, we establish, from the dual ser…
math.NT2021
-Analogues of -Series by Applying Carlitz Inversions to -Pfaff-Saalsch{ü}tz Theorem
Xiaojing Chen, Wenchang Chu
By applying multiplicate forms of the Carlitz inverse series relations to the -Pfaff-Saalsch{ü}tz summation theorem, we establish twenty five nonterminating -series identitie…