Proof of a conjecture of Lundow and Rosengren on the bimodality of p, q-binomial coefficients

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:391

Article

Su, Xun-Tuan²  Wang, Yi¹ 

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[2] E China Inst Technol, Coll Sci, Nanchang 330013, Peoples R China

关键词: Unimodality;    Bimodality;    p, q-binomial coefficients;   

DOI  :  10.1016/j.jmaa.2012.02.049

来源: Elsevier

【 摘 要 】

Lundow and Rosengren observed that the magnetization distributions of Ising model are remarkably well-fitted by the p, q-binomial distributions based on an assumption that the p, q-binomial distribution is unimodal or bimodal. In the present paper we show that this assumption holds for all positive numbers p and q. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free