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On the Askey--Wilson type integrals
Chuanan Wei
The Askey--Wilson integral is very important in the theory of orthogonal polynomials. Liu's integral is a generalization of the Askey--Wilson integral with many parameters. With th…
Several transformation formulas involving bilateral basic hypergeometric series
Chuanan Wei, Tong Yu
In terms of the analytic continuation method, we prove three transformation formulas involving bilateral basic hypergeometric series. One of them is equivalent to Jouhet's result i…
Transformation and summation formulas for basic hypergeometric series associated with the circumference ratio
Chuanan Wei
In terms of the difference operators, we establish several curious transformation and summation formulas for basic hypergeometric series. When the parameters are specified, they pr…
The united proofs for three -extensions of Dougall's summation formula
Chuanan Wei
In terms of the analytic continuation method, we give the united proofs for three -extensions of Dougall's summation formula. Some related results are also discussed in…