关于连分数的加法定理
Addition Theorems Via Continued Fractions
摘要：
我们证明了一类特殊的加法公式与Stieltjes和Rogers定理之间的联系。我们使用不同的技术来推导出理想的加法公式。我们应用我们的方法来获得特殊的加法定理的贝塞尔函数和汇合型超几何函数。我们还得到了基本超几何函数的几个加法定理。Hankel行列式的评价应用也给出了。
英文摘要：
We show connections between a special type of addition formulas and a theorem of Stieltjes and Rogers. We use different techniques to derive the desirable addition formulas. We apply our approach to derive special addition theorems for Bessel functions and confluent hypergeometric functions. We also derive several additions theorems for basic hypergeometric functions. Applications to the evaluation of Hankel determinants are also given .
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
