一类3阶Mock theta函数的部分和  

A Kind of Partial Sums for the Third Order Mock Theta Functions

作　　者：陈楠[1] 

机构地区：[1]咸阳师范学院数学与信息科学学院,陕西咸阳712000

出　　处：《咸阳师范学院学报》2017年第4期42-44,共3页Journal of Xianyang Normal University

基　　金：陕西省科技厅自然科学基金项目(2016JM1004);咸阳师范学院科研基金项目(15XSYK033)

摘　　要：研究了Ramanujan S发现的3阶Mock theta函数与3阶Mock theta函数部分和之间的关系,利用q-级数变换和初等的方法,得到了3阶Mock theta函数及其部分和函数之间的联系,同时得到了与3阶Mock theta函数f(q)相关的3个异侧级数之间的线性关系式。This paper studies the relationship between the third order Mock theta functions and the partial sums of third order Mock theta functions which was discovered by Ramanujan S. By using the q-series substitution and elementary methods, the inner relationship between them are obtained. In the meanwhile, the linear relation of the tail of three bilateral series for the third order Mock theta function f（q） is established.

关 键 词：Mocktheta函数 Mocktheta函数的部分和 模形式 

分 类 号：O156.4[理学—数学]