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Series expansions for and
Chuanan Wei, Xiaoxia Wang
By means of the telescoping method, we establish two sum- mation formulas on sine function. As the special cases of them, several interesting series expansions for and $π^m…
A new proof of Andrews' conjecture for -series
Chuanan Wei, Xiaoxia Wang
In terms of Sear's transformation formula for -series, we give new proofs of a summation formula for -series due to Andrews [2] and another summation formula for${_…
Evaluations of series of the -Watson, -Dixon, and -Whipple type
Chuanan Wei, Xiaoxia Wang
Using -series identities and series rearrangement, we establish several extensions of -Watson formulas with two extra integer parameters. Then they and Sears' transformation…
Generalizations of Ramanujan's reciprocity formula and the Askey-Wilson integral
Chuanan Wei, Xiaoxia Wang, Qinglun Yan
By using two known transformation formulas for basic hypergeometric series, we establish a direct extension of Bailey's -series identity. Subsequently, it and Milne's identi…
Several transformation formulas for basic hypergeometric series
Chuanan Wei, Dianxuan Gong
In 1981, Andrews gave a four-variable generalization of Ramanujan's summation formula. We establish a six-variable generalization of Andrews' identity according to the tr…