Recurrences for Callan's Generalization of Narayana Polynomials  

作　　者：CHEN Xi YANG Arthur Li Bo ZHAO James Jing Yu 

机构地区：[1]School of Mathematical Sciences,Dalian University of Technology,Dalian,116024,China [2]Center for Combinatorics,LPMC,Nankai University,Tianjin,300071,China [3]School of Mathematics,Tianjin University,Tianjin,300350,China

出　　处：《Journal of Systems Science & Complexity》2022年第4期1573-1585,共13页系统科学与复杂性学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant No.11601062;the National Natural Science Foundation of China under Grant Nos.11971249;partially supported by the National Natural Science Foundation of China under Grant Nos.11771330 and 11971203;supported in part by the Fundamental Research Funds for the Central Universities under Grant Nos.11522110。

摘　　要：By using Chen,Hou and Mu’s extended Zeilberger algorithm,the authors obtain two recurrence relations for Callan’s generalization of Narayana polynomials.Based on these recurrence relations,the authors further prove the real-rootedness and asymptotic normality of Callan’s Narayana polynomials.

关 键 词：Asymptotic normality Callan’s Narayana polynomials central limit theorem local limit theorem real zeros 

分 类 号：O174.14[理学—数学]