Karaji's L-Summing Method and the Generalized Ibn al-Haytham Recursive Formula

Abstract

In this paper, we first review two folkloric summation techniquesdue to two Islamic medieval scholars Karaji and Ibn al-Haytham by emphasizing on their higher-dimensional extensions. We also include several interesting examples of algebraic identities obtained form the generalized Ibn al-Haytham formulas and Karaji'sL-summing method. Finally, we will also show the interplay between these two different methodsof summation.