Araştırma Makalesi
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SOME COMPUTATIONS BETWEEN SUMS OF POWERS OF CONSECUTIVE INTEGERS AND ALTERNATING SUMS OF POWERS OF CONSECUTIVE INTEGERS

Yıl 2019, , 137 - 143, 29.07.2019

Uğur Duran , Mehmet Acikgoz

https://doi.org/10.33773/jum.519968
Cited By: 1

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

Euler numbers and polynomials Bernoulli numbers and polynomials Genocchi numbers and polynomials power sums

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.

Yıl 2019, , 137 - 143, 29.07.2019

Uğur Duran , Mehmet Acikgoz

https://doi.org/10.33773/jum.519968
Cited By: 1

Öz

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.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Uğur Duran 0000-0002-5717-1199

Mehmet Acikgoz 0000-0003-1091-9697

Yayımlanma Tarihi 29 Temmuz 2019
Gönderilme Tarihi 31 Ocak 2019
Kabul Tarihi 3 Aralık 2019
Yayımlandığı Sayı Yıl 2019

Kaynak Göster

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 Duran U, Acikgoz M. SOME COMPUTATIONS BETWEEN SUMS OF POWERS OF CONSECUTIVE INTEGERS AND ALTERNATING SUMS OF POWERS OF CONSECUTIVE INTEGERS. JUM. Temmuz 2019;2(2):137-143. doi:10.33773/jum.519968
Chicago 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 2, sy. 2 (Temmuz 2019): 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 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, 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 (Temmuz 2019), 137-143. https://doi.org/10.33773/jum.519968.
JAMA 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, 2019, ss. 137-43, doi:10.33773/jum.519968.
Vancouver 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):137-43.

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