- 期刊
- OpenAccess
The General Γ-Compatible Rook Length Polynomials
並列摘要
Rook placements and rook polynomials have been studied by mathematicians since the early 1970's. Since then many relationships between rook placements and other subjects have been discovered (cf. [1], [6-15]). In [2] and [3], K. Ding introduced the rook length polynomials and the γ-compatible rook length polynomials. In [3] and [4], he used these polynomials to establish a connection between rook placements and algebraic geometry for the first time. In this paper, we give explicit formulas for the γ-compatible rook length polynomials in more general cases than considered in [3]. In particular, we generalize the formula for the rook length polynomial in the parabolic case in [2] to the γ-compatible rook length polynomial.
被引用紀錄
An, T. W. (2012). 文學諷刺與文化詮釋：比較Mariano Jose de Larra 的Articulos與錢鍾書《圍城》的書寫藝術 [master's thesis, Tamkang University]. Airiti Library. https://doi.org/10.6846/TKU.2012.01150
張嘉文（2010）。《堂吉訶德》諺語中譯評析〔碩士論文，淡江大學〕。華藝線上圖書館。https://doi.org/10.6846/TKU.2010.00913
Jye, J. I. (2015). 陰道滴蟲中Myb2蛋白與豹蛙中onconase蛋白的結構與動態 [doctoral dissertation, National Tsing Hua University]. Airiti Library. https://doi.org/10.6843/NTHU.2015.00259
Lo, P. C. (2016). 石首魚科分子系統分類及生物地理學研究 [doctoral dissertation, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU201602216
蔡宜珍（2015）。組蛋白乙醯化修飾於光動力治療所引發促存活分子表達之機制探討及臨床應用〔博士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU.2015.02828
延伸閱讀
- Gupta, A. K., & Kabe, D. G. (2003). ON A ZONAL POLYNOMIAL INTEGRAL. Journal of Applied Mathematics, 2003(), 569-573. https://doi.org/10.1155/S1110757X03209074
- NATALINI, P., & RICCI, P. E. (2006). LAGUERRE-TYPE BELL POLYNOMIALS. International Journal of Mathematics and Mathematical Sciences, 2006(), 1125-1131-090. https://doi.org/10.1155/IJMMS/2006/45423
- NODARSE, R. Á., ARVESÚ, J., & MARCELLÁN, F. (2004). ON THE KRALL-TYPE POLYNOMIALS. Journal of Applied Mathematics, 2004(), 359-369. https://doi.org/10.1155/S1110757X04312076
- Natalini, P., & Bernardini, A. (2003). A GENERALIZATION OF THE BERNOULLI POLYNOMIALS. Journal of Applied Mathematics, 2003(), 155-163. https://doi.org/10.1155/S1110757X03204101
- Corcino, R. B., & Corcino, C. B. (2011). On Generalized Bell Polynomials. Discrete Dynamics in Nature and Society, 2011(), 1096-1116. https://doi.org/10.1155/2011/623456