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 ...

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 ...