A Generalization of Ibn Al-Haytham Recursive Formula for Sums of Powers

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Turkish Journal of Mathematics and Computer Science
Volume:9
A Generalization of Ibn Al-Haytham Recursive Formula for Sums of Powers

A Generalization of Ibn Al-Haytham Recursive Formula for Sums of Powers

Authors : Hossein TEİMOORİ FAAL

Pages : 25-33

View : 55 | Download : 7

Publication Date : 2018-12-28

Article Type : Research Paper

Abstract :In this paper, we give a generalization of Ibn al-Haytham recursive formula for sums of powers of any integer sequence. Then, we obtain higher dimensional generalizations of the generalized Ibn al-Haytham formula. As by-products, we also show that how our recursive formulas imply other interesting integer sequences identities like Karaji L-summing equation and Abel`s summation by parts lemma. Finally, as an application, we prove several identities related to Fibonnaci and harmonic numbers.
Keywords : Sums of Powers, Integer Sequences Identities, Creative Telescoping, Harmonic Numbers

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.