New Estimates on the bounds of Brunel's operator

I. Assani, R. S. Hallyburton, S. McMahon +2

We study the coefficients of the Taylor series expansion of powers of the function $\psi (x)=\frac{1-\sqrt{1-x}}{x}$, where the Brunel operator $A\equiv A(T)$ is defined as $\psi (T)$ for…