The natural forms of the Leibniz rule for the kth derivative of a product and of Fa`a di Bruno's formula for the kth derivative of a composition involve the differential oper...
We consider Class-Uniformly Resolvable frames (CURFs), which are group divisible designs with partial resolution classes subject to the class-uniform condition. We derive the nece...
In a previous work [26], by considering paths that are partially weighted, the generating function of Dyck paths was shown to possess a type of symmetry, called an exchange relati...