SOME LIMIT PROPERTIES FOR THE COEFFICIENTS OF THE q-CATALAN NUMBERS

作者：Wu, Zikai^*; Du, Hongxia

来源：Indian Journal of Pure and Applied Mathematics, 2014, 45(4): 469-478.

DOI：10.1007/s13226-014-0075-6

• Bernoulli number
• q-Catalan number
• moment generating function
• moderate deviation principle
• law of large numbers

In the paper, some limit properties, such as, moderate deviation principle and law of large numbers, for the coefficients of the q-Catalan numbers and the generalized q-Catalan numbers are obtained.

• 出版日期2014-8
• 单位河南师范大学; 上海理工大学