Recurrent Sums and Partition Identities

Roudy El Haddad

Sums of the form ${\sum }_{N_m=q}^n\cdots {\sum }_{N_1=q}^{N_2}{a}_{(m);N_m}\cdots a_{(1);N_1}$ where the $a_{(k);N_k}$'s are same or distinct sequences appear quite often in mathema…