NOVEL WAY OF DETERMINING SUM OF KTH POWERS OF NATURAL NUMBERS-Reference-Cited by-同舟云学术

NOVEL WAY OF DETERMINING SUM OF KTH POWERS OF NATURAL NUMBERS

Published:2024-02-06 Issue:1 Volume:12 Page:
ISSN:2350-0530
Container-title:International Journal of Research -GRANTHAALAYAH
language:
Short-container-title:Int. J. Res. Granthaalayah

Author:

Kumar V.R. Kalyan,Sivaraman R.

Abstract

Since ancient times, mathematicians across the world have worked on different methods to find the sum of powers of natural numbers. In this paper, we are going to present the relationship between sum of kth powers of natural numbers and sum of (k–1) th powers of natural numbers using the differential operator and associated recurrence relation. Interestingly, the Bernoulli numbers which occur frequently in mathematical analysis, play an important role in establishing this relationship.

Publisher

Granthaalayah Publications and Printers

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference11 articles.

1. Dinesh, A., & Sivaraman, R. (2022). Asymptotic Behavior of Limiting Ratios of Generalized Recurrence Relations, Journal of Algebraic Statistics, 13(2), 11-19.

2. Sivaraman, R. (2020). Summing Through Integrals, Science Technology and Development, 9(4), 267-272.

3. Senthil, P., Abirami, R., & Dinesh, A. (2014). Fuzzy Model for the Effect of rhIL6 Infusion on Growth Hormone, International Conference on Advances in Applied Probability, Graph Theory and Fuzzy Mathematics, 252, 246.

4. Senthil, P., Dinesh, A., & Vasuki, M. (2014). Stochastic Model to Find the Effect of Gallbladder Contraction Result Using Uniform Distribution, Arya Bhatta Journal of Mathematics and Informatics, 6(2), 323-328.

5. Sivaraman, R. (2020). Bernoulli Polynomials and Faulhaber Triangle. Strad Research, 7(8), 186-194. https://doi.org/10.37896/sr7.8/018.