Let $y$ be given by $$y=\int_x^\infty \frac{dx'}{(1+x'^2)^\alpha}$$ where $\alpha>1$. Is it possible to express the following as a series: $$x(1+x^2)^{\alpha-1}=\sum a_n\left(\frac{1}{y}\right)^n$$
Tell me more
×
Mathematics Stack Exchange is a question and answer site for
people studying math at any level and professionals in related fields. It's 100% free, no registration required.
|
|
