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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.
| Autores principales: | , , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Hindawi Publishing Corporation
2014
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| Materias: | |
| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4033541/ https://www.ncbi.nlm.nih.gov/pubmed/24895675 http://dx.doi.org/10.1155/2014/940358 |
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| author | Liu, Xian-Fang Bi, Ya-Qing Luo, Qiu-Ming |
| author_facet | Liu, Xian-Fang Bi, Ya-Qing Luo, Qiu-Ming |
| author_sort | Liu, Xian-Fang |
| collection | PubMed |
| description | 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. |
| format | Online Article Text |
| id | pubmed-4033541 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-40335412014-06-03 New Proofs of Some q-Summation and q-Transformation Formulas Liu, Xian-Fang Bi, Ya-Qing Luo, Qiu-Ming ScientificWorldJournal Research Article 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. Hindawi Publishing Corporation 2014 2014-05-07 /pmc/articles/PMC4033541/ /pubmed/24895675 http://dx.doi.org/10.1155/2014/940358 Text en Copyright © 2014 Xian-Fang Liu et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
| spellingShingle | Research Article Liu, Xian-Fang Bi, Ya-Qing Luo, Qiu-Ming New Proofs of Some q-Summation and q-Transformation Formulas |
| title | New Proofs of Some q-Summation and q-Transformation Formulas |
| title_full | New Proofs of Some q-Summation and q-Transformation Formulas |
| title_fullStr | New Proofs of Some q-Summation and q-Transformation Formulas |
| title_full_unstemmed | New Proofs of Some q-Summation and q-Transformation Formulas |
| title_short | New Proofs of Some q-Summation and q-Transformation Formulas |
| title_sort | new proofs of some q-summation and q-transformation formulas |
| topic | Research Article |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4033541/ https://www.ncbi.nlm.nih.gov/pubmed/24895675 http://dx.doi.org/10.1155/2014/940358 |
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