Volume 2, Issue 3, September 2017, Page: 107-111
Several Remarks on q-Binomial Inverse Formula and Examples
Qing Zou, Department of Mathematics, the University of Iowa, Iowa City, USA
Received: Jan. 22, 2017;       Accepted: Mar. 20, 2017;       Published: Apr. 13, 2017
DOI: 10.11648/j.dmath.20170203.18      View  1785      Downloads  72
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.
Keywords
Inverse Formula, Binomial Inverse Formula, q-Binomial Inverse Formula
To cite this article
Qing Zou, Several Remarks on q-Binomial Inverse Formula and Examples, International Journal of Discrete Mathematics. Vol. 2, No. 3, 2017, pp. 107-111. doi: 10.11648/j.dmath.20170203.18
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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