In this paper, we first give some comments on the paper [J. Goldman and G. C. Rota, on the foundations of combinatorial theory IV finite vector spaces and Eulerian generating functions, Stud. Appl. Math., 49: 239--258 (1970)]. In that paper, Goldman and Rota showed two incorrect inversion formulas in Section 3. We point out the formulas and give the correct versions with the proof in this this paper first. Then we give some remarks on -binomial inverse formula concerning its applications.
| Published in | International Journal of Discrete Mathematics (Volume 2, Issue 3) |
| DOI | 10.11648/j.dmath.20170203.18 |
| Page(s) | 107-111 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2024. Published by Science Publishing Group |
Inverse Formula, Binomial Inverse Formula, q-Binomial Inverse Formula
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APA Style
Qing Zou. (2017). Several Remarks on q-Binomial Inverse Formula and Examples. International Journal of Discrete Mathematics, 2(3), 107-111. https://doi.org/10.11648/j.dmath.20170203.18
ACS Style
Qing Zou. Several Remarks on q-Binomial Inverse Formula and Examples. Int. J. Discrete Math. 2017, 2(3), 107-111. doi: 10.11648/j.dmath.20170203.18
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Download@article{10.11648/j.dmath.20170203.18,
author = {Qing Zou},
title = {Several Remarks on q-Binomial Inverse Formula and Examples},
journal = {International Journal of Discrete Mathematics},
volume = {2},
number = {3},
pages = {107-111},
doi = {10.11648/j.dmath.20170203.18},
url = {https://doi.org/10.11648/j.dmath.20170203.18},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.dmath.20170203.18},
abstract = {In this paper, we first give some comments on the paper [J. Goldman and G. C. Rota, on the foundations of combinatorial theory IV finite vector spaces and Eulerian generating functions, Stud. Appl. Math., 49: 239--258 (1970)]. In that paper, Goldman and Rota showed two incorrect inversion formulas in Section 3. We point out the formulas and give the correct versions with the proof in this this paper first. Then we give some remarks on -binomial inverse formula concerning its applications.},
year = {2017}
}
TY - JOUR T1 - Several Remarks on q-Binomial Inverse Formula and Examples AU - Qing Zou Y1 - 2017/04/13 PY - 2017 N1 - https://doi.org/10.11648/j.dmath.20170203.18 DO - 10.11648/j.dmath.20170203.18 T2 - International Journal of Discrete Mathematics JF - International Journal of Discrete Mathematics JO - International Journal of Discrete Mathematics SP - 107 EP - 111 PB - Science Publishing Group SN - 2578-9252 UR - https://doi.org/10.11648/j.dmath.20170203.18 AB - In this paper, we first give some comments on the paper [J. Goldman and G. C. Rota, on the foundations of combinatorial theory IV finite vector spaces and Eulerian generating functions, Stud. Appl. Math., 49: 239--258 (1970)]. In that paper, Goldman and Rota showed two incorrect inversion formulas in Section 3. We point out the formulas and give the correct versions with the proof in this this paper first. Then we give some remarks on -binomial inverse formula concerning its applications. VL - 2 IS - 3 ER -
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