Zeros of the deformed exponential function

Liuquan Wang, Cheng Zhang

Let $f(x)={\sum }_{n=0}^{\infty }\frac{1}{n!}{q}^{n(n-1)/2}{x}^n$ ($0<q<1$) be the deformed exponential function. It is known that the zeros of $f(x)$ are real and form a negative decreasi…