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 ...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.展开更多
基金supported by the National Natural Science Foundation of China under Grant No.11601062the National Natural Science Foundation of China under Grant Nos.11971249+1 种基金partially supported by the National Natural Science Foundation of China under Grant Nos.11771330 and 11971203supported in part by the Fundamental Research Funds for the Central Universities under Grant Nos.11522110。
文摘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.