Polynomial equations have long served as a cornerstone of mathematical analysis, offering a framework to understand functions, curves, and dynamic systems. In recent years, the study of these ...

A sequence is defined by the recurrence relation \({U_n} = m{U_{n - 1}} + c\) Find the values of \(m\) and \(c\) if \({U_1} = - 3\), \({U_2} = 7\) and \({U_3} = 10 ...

Recurrence analysis has emerged as a pivotal framework for understanding the intricate behaviour of complex dynamical systems. By constructing visual representations known as recurrence plots, ...

Joshi and Balakrishnan (1982) obtained several recurrence relations and identities for product moments of order statistics in a random sample of size n from an arbitrary continuous distribution. In ...

More specifically, a solution to the recurrence relation is a value that satisfies "if each child call terminates with probability t, the parent call terminates with probability t" but a solution to ...