Turkish Journal of Mathematics and Computer Science

Yazarlar: Hossein TEİMOORİ FAAL

Konular:-

Anahtar Kelimeler:Sums of Powers,Integer Sequences Identities,Creative Telescoping,Harmonic Numbers

Özet: 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.

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