We present explicit solutions of a class of recurrences related to the Quickselect algorithm. Thus we are immediately able to solve recurrences arising at the partial sorting probl...
In this paper we study recurrences concerning the combinatorial sum n r m = kr (mod m) n k and the alternate sum kr (mod m)(-1)(k-r)/m n k , where m > 0, n 0 and r are integers....
The divide-and-conquer principle is a majoi paradigm of algorithms design. Corresponding cost functions satisfy recurrences that directly reflect the decomposition mechanism used i...
It is classical that univariate algebraic functions satisfy linear differential equations with polynomial coefficients. Linear recurrences follow for the coefficients of their po...