- Turkish Journal of Mathematics and Computer Science
- Vol: 13 Issue: 1
- Karaji's L-Summing Method and the Generalized Ibn al-Haytham Recursive Formula
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 : 4 | Download : 1
Publication Date : 2021-06-30
Article Type : Research
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