QUADRATIC POLYNOMIAL OF POWER SUMS AND ALTERNATING POWER SUMS

Leomarich F Casinillo

doi:10.14710/jfma.v4i2.10675

DOI: https://doi.org/10.14710/jfma.v4i2.10675

QUADRATIC POLYNOMIAL OF POWER SUMS AND ALTERNATING POWER SUMS

*Leomarich F Casinillo - , Philippines

Citation Format:

Abstract

This study aims to construct quadratic polynomials in n for power sums and alternating power sums of consecutive positive integers. In addition, this paper evaluated the said quadratic polynomials under odd and even terms of the series.

Fulltext View|Download

Keywords: Quadratic polynomial, power sums, alternating power sums

Article Metrics:

Article Info

Section: FUNDAMENTAL MATHEMATICS AND APPLICATIONS

Language : EN

In Vol 4, No 2 (2021)

Recent articles

CHARACTERIZATION OF WEAKLY PRIME SUBMODULE KARAKTERISASI DAN BEBERAPA SIFAT RUANG CEC ANALYSIS OF TUBERCULOSIS DYNAMICAL MODEL WITH DIFFERENT EFFECTS OF TREATMENT More recent articles

Guy, R. (1982). Sums of consecutive integers. Fibonacci Quarterly, 20, 36–38
LeVeque, W. J. (1982). On representations as a sum of consecutive integers, Canadian Journal of Mathematics, 2, 399–405
Merca, M. (2014). An alternative to Faulhaber’s formula. The American Mathematical Monthly, 122(6), 599-601
Howard F. T. (1996). Sums of powers of integers via generating functions. Fibonacci Quarterly, 34, 244-256
Harman, G. (1991). Sums of two squares in short intervals. Proceeding of London Mathematical Society, 6, 225-241
Bambah R. P. and Chowla S. (1947). On numbers which can be express as a sum of two squares. Pro. Nat. Acad. Sci. India, 13, 101-103
Marin, M. (1999). An evolutionary equation in thermoelasticity of dipolar bodies. Journal of Mathematical Physics, 40(3), 1391-1399
Marin, M. (1998). Contributions on Uniqueness in thermoelastodynamics on bodies with voids. Ciencias Mathematicas (Havana), 16(2), 101-109
Bennett, M. A. (2011). A super-elliptic equation involving alternating sums of powers. Publ. Math. Debrecen, 79, 317–324
Bazso ́, A. (2013). On alternating power sums of arithmetic progressions. Integral Transforms Spec. Funct, 24, 945–949
Bazso ́, A. (2015). Polynomial values of (alternating) power sums. Acta Math. Hungary, 146, 202–219

Last update:

No citation recorded.

Last update:

No citation recorded.

Authors who publish articles in this journal agree to the following terms:

Authors grant the journal the right of first publication that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.

For more detailed information about the copyright transfer, please refer to this page: COPYRIGHT TRANSFER FORM

QUADRATIC POLYNOMIAL OF POWER SUMS AND ALTERNATING POWER SUMS

EDITORIAL OFFICE

INDEXED IN: