Find the sum of the following series: $$\sum_{n=0}^\infty {x^{n}}{\sinh(5n+5)}$$
The sum for $ {\sinh(5n+5)}$ is as it follows
$$\sum_{n=0}^\infty \frac{(5n+5)^{2n+1}}{(2n+1)!}$$
And now I do not know how to continue to find this sum of series , can anyone help me .
Thank you all !