Hello

i really need to solve this problem and i really apprecitae if anyone could help me to find the way:

write the following serie (the picture attached) in the form of hypergeometric function.1. The problem statement, all variables and given/known data

n changes from 0 to infinity.hypergeometric function:

2. Relevant equations

guys i have thought about this for 2 hours,and i had not any initial idea how to solve it,i appreciate if anyone could give me an initial idea that how should i solve this problem

3. The attempt at a solution