In part II, we consider the recurrence formula of double hypergeometric terms.
在文章的第二部分，我们考虑了双超几何项的递推公式。
In this paper, the inclination functions are expressed as the hypergeometric functions.
本文用超几何函数来表示倾角函数。
The zeroth order approximation of the solution can be expressed in terms of confluent hypergeometric functions.
解的零级近似可以用汇合超几何函数表示。
By using a simple algorithm for the summation of basic hypergeometric series, summation formulas for some basic hypergeometric series are obtained.
本文运用基本超几何级数求和的一个简单算法，求得一些基本超几何级数的求和公式。
This dissertation studies the applications of the inversion techniques and its equivalent form in finding and proving the hypergeometric series identities.
本文探讨了反演技术及其等价的形式在寻求和证明超几何级数恒等式方面的应用。
In Chapter 2, we introduce the basic knowledge of the basic hypergeometric series, including basic concepts, some summation formulas, transformation formulas, etc.
第二章：主要介绍了基本超几何级数的基本知识，包括基本概念，一些重要的求和公式以及变换公式等。
With the boundary conditions of bound states, we have obtained the corresponding energy spectrum via an expression and wave functions in terms of hypergeometric functions.
并利用束缚态边界条件，获得了束缚态能谱表达式和由超几何函数表示出的波函数。
The radial bound state solutions are expressed in terms of the confluent hypergeometric functions and the energy equation is derived from the boundary condition satisfied by the radial wavefunctions.
径向束缚态波函数用合流超几何函数表示，束缚态的能量方程可由径向波函数满足的边界条件得到。
The radial bound state solutions are expressed in terms of the confluent hypergeometric functions and the energy equation is derived from the boundary condition satisfied by the radial wavefunctions.
径向束缚态波函数用合流超几何函数表示，束缚态的能量方程可由径向波函数满足的边界条件得到。
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