Philippine E-Journals

A q-Analogue of the Non-Central Stirling Numbers of the First Kind and Some of its Combinatorial Properties

Miraluna L. Herrera | Julius G. Caadan

Discipline: Mathematics

 

Abstract:

In this note, a q-analogue of the non-central Stirling numbers of the first kind is derived by obtaining the limit of the exponential factorial. As a consequence, some combinatorial properties, such as triangular recurrence relation, vertical recurrence relation, horizontal recurrence relation and horizontal generating function are established. Moreover, the q-analogue is given interpretation in the counting of A-tableau, a special type of 0-1 tableau.