Research on Quasi-periodic continued fractions in terms of Special functions

还发现了一类新的Hurwitz和Tasoev连分数，它们属于准周期连分数。发现了拟周期连分数与超几何函数、双曲函数、斐波那契- ζ函数的几个典型关系。从拟周期连分数的收敛性概念出发，定义了跳跃收敛性。研究了跳跃收敛的特征性质。跳跃收敛在非正则连分数和一般整数序列上得到了广泛的定义。

Still new types of Hurwitz and Tasoev continued fractions, which belong to quasi-periodic continued fractions, have been found. Several typical relations between quasi-periodic continued fractions and hypergeometric functions, hyperbolic functions, Fibonacci-zeta functions have been discovered. Leaping convergents have been defined from the concept of convergents of quasi-periodic continued fractions. Characteristic properties of leaping convergents have been examined. Leaping convergents have been extensively defined on non-regular continued fractions and on general integer sequences.