18 citations · 20 across the 7 of their papers we have counts for
7 papers
-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 $_…
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…
-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…
Alternating Convolutions of Catalan Numbers
Wenchang Chu
A new class of alternating convolutions concerning binomial coefficients and Catalan numbers are evaluated in closed forms.
Finite Form of the Quintuple Product Identity
William Y. C. Chen, Wenchang Chu, Nancy S. S. Gu
The celebrated quintuple product identity follows surprisingly from an almost-trivial algebraic identity, which is the limiting case of the terminating q-Dixon formula.
Partial-Fraction Decompositions and Harmonic Number Identities
Wenchang Chu
By means of partial fraction method, we investigate the decomposition of rational functions. Several striking identities on harmonic numbers and generalized Apery numbers will be e…