EN
SOME COMPUTATIONS BETWEEN SUMS OF POWERS OF CONSECUTIVE INTEGERS AND ALTERNATING SUMS OF POWERS OF CONSECUTIVE INTEGERS
Öz
We study on the sums of powers of consecutive integers and alternating sums of power of consecutive integers. We derive many identities and correlations including Bernoulli, Euler and Genocchi polynomials and numbers.
Anahtar Kelimeler
Kaynakça
- Acikgoz, M., Koca, I., Araci, S. The evaluation of the sums of more general series by Bernstein polynomials, Journal of Analysis and Number Theory, 4(1) (2016), 71-74.
- Araci, S., Acikgoz, M., Sen, E. Some new formulae for Genocchi numbers and polynomials involving Bernoulli and Euler polynomials, International Journal of Mathematics and Mathematical Sciences, Vol. 2014 (2014), Article ID 760613, 7 pages. doi:10.1155/2014/760613
- Cheon, G.-S. A note on the Bernoulli and Euler polynomials, Applied Mathematics Letters, 16(3) (2003), 365-368.
- Coen, L. E. S. Sums of Powers and the Bernoulli Numbers, Master Thesis, Eastern Illinois University, 1996.
- E.-Mikkawy, M., Atlan, F. Derivation of identities involving some special polynomials and numbers via generating functions with applications, Applied Mathematics and Computation, 220 (2013), 518-535.
- Kim, T. A note on the alternating sums of powers of consecutive integers, Proceedings of the Jangjeon Mathematical Society, 8(2) (2005), 175-178.
- Shen, Y.-Y. A note on the sums of powers of consecutive integers, Tunghai Science, 5 (2005), 101-106.
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
29 Temmuz 2019
Gönderilme Tarihi
31 Ocak 2019
Kabul Tarihi
3 Aralık 2019
Yayımlandığı Sayı
Yıl 2019 Cilt: 2 Sayı: 2
APA
Duran, U., & Acikgoz, M. (2019). SOME COMPUTATIONS BETWEEN SUMS OF POWERS OF CONSECUTIVE INTEGERS AND ALTERNATING SUMS OF POWERS OF CONSECUTIVE INTEGERS. Journal of Universal Mathematics, 2(2), 137-143. https://doi.org/10.33773/jum.519968
AMA
1.Duran U, Acikgoz M. SOME COMPUTATIONS BETWEEN SUMS OF POWERS OF CONSECUTIVE INTEGERS AND ALTERNATING SUMS OF POWERS OF CONSECUTIVE INTEGERS. JUM. 2019;2(2):137-143. doi:10.33773/jum.519968
Chicago
Duran, Uğur, ve Mehmet Acikgoz. 2019. “SOME COMPUTATIONS BETWEEN SUMS OF POWERS OF CONSECUTIVE INTEGERS AND ALTERNATING SUMS OF POWERS OF CONSECUTIVE INTEGERS”. Journal of Universal Mathematics 2 (2): 137-43. https://doi.org/10.33773/jum.519968.
EndNote
Duran U, Acikgoz M (01 Temmuz 2019) SOME COMPUTATIONS BETWEEN SUMS OF POWERS OF CONSECUTIVE INTEGERS AND ALTERNATING SUMS OF POWERS OF CONSECUTIVE INTEGERS. Journal of Universal Mathematics 2 2 137–143.
IEEE
[1]U. Duran ve M. Acikgoz, “SOME COMPUTATIONS BETWEEN SUMS OF POWERS OF CONSECUTIVE INTEGERS AND ALTERNATING SUMS OF POWERS OF CONSECUTIVE INTEGERS”, JUM, c. 2, sy 2, ss. 137–143, Tem. 2019, doi: 10.33773/jum.519968.
ISNAD
Duran, Uğur - Acikgoz, Mehmet. “SOME COMPUTATIONS BETWEEN SUMS OF POWERS OF CONSECUTIVE INTEGERS AND ALTERNATING SUMS OF POWERS OF CONSECUTIVE INTEGERS”. Journal of Universal Mathematics 2/2 (01 Temmuz 2019): 137-143. https://doi.org/10.33773/jum.519968.
JAMA
1.Duran U, Acikgoz M. SOME COMPUTATIONS BETWEEN SUMS OF POWERS OF CONSECUTIVE INTEGERS AND ALTERNATING SUMS OF POWERS OF CONSECUTIVE INTEGERS. JUM. 2019;2:137–143.
MLA
Duran, Uğur, ve Mehmet Acikgoz. “SOME COMPUTATIONS BETWEEN SUMS OF POWERS OF CONSECUTIVE INTEGERS AND ALTERNATING SUMS OF POWERS OF CONSECUTIVE INTEGERS”. Journal of Universal Mathematics, c. 2, sy 2, Temmuz 2019, ss. 137-43, doi:10.33773/jum.519968.
Vancouver
1.Uğur Duran, Mehmet Acikgoz. SOME COMPUTATIONS BETWEEN SUMS OF POWERS OF CONSECUTIVE INTEGERS AND ALTERNATING SUMS OF POWERS OF CONSECUTIVE INTEGERS. JUM. 01 Temmuz 2019;2(2):137-43. doi:10.33773/jum.519968
Cited By
Euler polynomials and alternating sums of powers of integers
International Journal of Mathematical Education in Science and Technology
https://doi.org/10.1080/0020739X.2022.2074904