TY  - JOUR
T1  - Karaji's L-Summing Method and the Generalized Ibn al-Haytham Recursive Formula
AU  - Teimoori Faal, Hossein
PY  - 2021
DA  - June
DO  - 10.47000/tjmcs.717074
JF  - Turkish Journal of Mathematics and Computer Science
JO  - TJMCS
PB  - Matematikçiler Derneği
WT  - DergiPark
SN  - 2148-1830
SP  - 122
EP  - 128
VL  - 13
IS  - 1
LA  - en
AB  - 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 obtainedform 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.
KW  - Karaji
KW  - the generalized Ibn al-Haytham formula
KW  - summation techniques
KW  - sums of powers
KW  - harmonic numbers
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UR  - https://doi.org/10.47000/tjmcs.717074
L1  - https://dergipark.org.tr/en/download/article-file/1043721
ER  -