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

Authors : Hossein TEİMOORİ FAAL

Pages : 122-128

Doi:10.47000/tjmcs.717074

View : 15 | Download : 24

Publication Date : 2021-06-30

Article Type : Research Paper

Abstract :In this paper, we first review two folkloric summation techniques due 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`s L-summing method. Finally, we will also show the interplay between these two different methods of summation.
Keywords : Karaji, the generalized Ibn al Haytham formula, summation techniques, sums of powers, harmonic numbers