Xiaojing Chen

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math.NT2021

$q$ -Analogues of $π$ -Related Formulae from Jackson's $_{8} ϕ_{7}$ -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 $_{7} F_{6}$ -series, we establish, from the dual ser…

math.NT2021

$q$ -Analogues of $π$ -Series by Applying Carlitz Inversions to $q$ -Pfaff-Saalsch{ü}tz Theorem

Xiaojing Chen, Wenchang Chu

By applying multiplicate forms of the Carlitz inverse series relations to the $q$ -Pfaff-Saalsch{ü}tz summation theorem, we establish twenty five nonterminating $q$ -series identitie…

q-Analogues of π-Related Formulae from Jackson's 8​ϕ7​-Series via Inversion Approach

Triplicate Dual Series of Dougall--Dixon Theorem

q-Analogues of π-Series by Applying Carlitz Inversions to q-Pfaff-Saalsch{ü}tz Theorem

$q$ -Analogues of $π$ -Related Formulae from Jackson's $_{8} ϕ_{7}$ -Series via Inversion Approach

$q$ -Analogues of $π$ -Series by Applying Carlitz Inversions to $q$ -Pfaff-Saalsch{ü}tz Theorem