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New Proofs of Some q-Summation and q-Transformation Formulas

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.

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Bibliografiske detaljer
Main Authors: Liu, Xian-Fang, Bi, Ya-Qing, Luo, Qiu-Ming
Format: Artigo
Sprog:Inglês
Udgivet: Hindawi Publishing Corporation 2014
Fag:
Online adgang:https://ncbi.nlm.nih.gov/pmc/articles/PMC4033541/
https://ncbi.nlm.nih.gov/pubmed/24895675
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1155/2014/940358
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