title: New proofs of some q-summation and q-transformation formulas.
abstract: We obtain an expectation formula and give the probabilistic proofs of some summation and transformation formulas of q-series based on our expectation formula. Although these formulas in themselves are not the probability results, the proofs given are based on probabilistic concepts.
authors.affiliation: Department of Mathematics, Chongqing Higher Education Mega Center, Chongqing Normal University, Huxi Campus, Chongqing 401331, China.
authors.forename: Xian-Fang
authors.initials: XF
authors.lastname: Liu
authors.affiliation: Department of Mathematics, Chongqing Higher Education Mega Center, Chongqing Normal University, Huxi Campus, Chongqing 401331, China.
authors.forename: Ya-Qing
authors.initials: YQ
authors.lastname: Bi
authors.affiliation: Department of Mathematics, Chongqing Higher Education Mega Center, Chongqing Normal University, Huxi Campus, Chongqing 401331, China.
authors.forename: Qiu-Ming
authors.initials: QM
authors.lastname: Luo
mesh_terms: D015233:Models, Statistical; D011336:Probability