A recurrence relation is an equation that specifies one (or more) known terms in a sequence and then a rule for calculating the next term in the sequence. If the initial value in a recurrence relation ...

Remember that a recurrence relation is a sequence that gives you a connection between two consecutive terms. These two terms are usually \({U_{n + 1}}\) and \({U_n}\). However they could be given as \ ...

This project demonstrates the concept of Matrix Exponentiation and its application in solving problems efficiently. Specifically, it illustrates how matrix exponentiation can be used to calculate the ...

We consider two semiclassical extensions of the Laguerre weight and their associated sets of orthogonal polynomials. These polynomials satisfy a three-term recurrence relation. We show that the ...