Turkish Journal of Mathematics and Computer Science
Karaji's L-Summing Method and the Generalized Ibn al-Haytham Recursive Formula
Yazarlar: Hossein TEİMOORİ FAAL
Cilt 13 , Sayı 1 , 2021 , Sayfalar 122 - 128
Konular:Matematik
DOI:10.47000/tjmcs.717074
Anahtar Kelimeler:Karaji,The generalized Ibn al-Haytham formula,Summation techniques,Sums of powers,Harmonic numbers
Özet: 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.
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Atıf Yapan Eserler
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BibTex
KOPYALA
@article{2021, title={Karaji’s L-Summing Method and the Generalized Ibn al-Haytham Recursive Formula}, volume={13}, number={122–128}, publisher={Turkish Journal of Mathematics and Computer Science}, author={Hossein TEİMOORİ FAAL}, year={2021} }
APA
KOPYALA
Hossein TEİMOORİ FAAL. (2021). Karaji’s L-Summing Method and the Generalized Ibn al-Haytham Recursive Formula (Vol. 13). Vol. 13. Turkish Journal of Mathematics and Computer Science.
MLA
KOPYALA
Hossein TEİMOORİ FAAL. Karaji’s L-Summing Method and the Generalized Ibn al-Haytham Recursive Formula. no. 122–128, Turkish Journal of Mathematics and Computer Science, 2021.