\[\operatorname{Ie}_{2m+1}\left(z,h\right)=(-1)^{s}\sum_{\ell=0}^{\infty}(-1)^{%
\ell}\dfrac{B_{2\ell+1}^{2m+1}(h^{2})}{B_{2s+1}^{2m+1}(h^{2})}\left(I_{\ell-s}%
\left(he^{-z}\right)I_{\ell+s+1}\left(he^{z}\right)+I_{\ell+s+1}\left(he^{-z}%
\right)I_{\ell-s}\left(he^{z}\right)\right),\]