论文标题
$ q $ - 指数和相关功能的线性独立性
Linear independence of values of the $q$-exponential and related functions
论文作者
论文摘要
在本文中，我们建立了指数函数$ q $的值的线性独立性，$ e_q（x）$及其在指定代数参数的衍生产品的线性独立性，当$ q $是pisot-vijayraghavan编号时。我们还推断出类似的同源函数结果，例如tschakaloff函数和某些广义$ q $ series。
In this paper, we establish the linear independence of values of the $q$-analogue of the exponential function, $E_q(x)$ and its derivatives at specified algebraic arguments, when $q$ is a Pisot-Vijayraghavan number. We also deduce similar results for cognate functions, such as the Tschakaloff function and certain generalized $q$-series.
