Asymptotic expansion of Mathieu-Bessel series. II

R B Paris

We consider the asymptotic expansion of the Mathieu-Bessel series \[S_{ν,γ}^μ(a,b)=\sum_{n=1}^\infty \frac{n^γK_ν(nb/a)}{(n^2+a^2)^μ}, \qquad (μ>0, ν\geq 0, b>0, γ\in {\bf R})\] as…