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

Hossein TEİMOORİ FAAL

Makale detayları

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

Yazarlar:

Hossein TEİMOORİ FAAL

Yayıncı:

Matematikçiler Derneği

Dergi:

Turkish Journal of Mathematics and Computer Science 2018 Vol.9, pp.25-33

Belge Tipi:

Makale

Yayın Tarihi:

12/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000638671

Sıklık:

İki Yıllık

eISSN:

2148-1830

Özet:

 

In this paper, we give a generalization of Ibn al-Haytham recursive formula for sums ofpowers 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 likeKaraji L-summing equation and Abel's summation by parts lemma. Finally, as an application, we prove several identities related to Fibonnaci and harmonic numbers.

Makale detayları

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

Yazarlar: Hossein TEİMOORİ FAAL

Yayıncı: Matematikçiler Derneği

Dergi: Turkish Journal of Mathematics and Computer Science 2018 Vol.9, pp.25-33

Belge Tipi: Makale

Yayın Tarihi: 12/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000638671

Sıklık: İki Yıllık

eISSN: 2148-1830

Sayı

Yazarlar:

Hossein TEİMOORİ FAAL

Yayıncı:

Matematikçiler Derneği

Dergi:

Turkish Journal of Mathematics and Computer Science 2018 Vol.9, pp.25-33

Belge Tipi:

Makale

Yayın Tarihi:

12/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000638671

Sıklık:

İki Yıllık

eISSN:

2148-1830