Title of article
A refinement of Faulhaber’s theorem concerning sums of powers of natural numbers
Author/Authors
Bazsَ، نويسنده , , A. and Pintér، نويسنده , , ء. and Srivastava، نويسنده , , H.M.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2012
Pages
4
From page
486
To page
489
Abstract
In an attempt to present a refinement of Faulhaber’s theorem concerning sums of powers of natural numbers, the authors investigate and derive all the possible decompositions of the polynomial S a , b k ( x ) which is given by S a , b k ( x ) = b k + ( a + b ) k + ( 2 a + b ) k + ⋯ + ( a ( x − 1 ) + b ) k .
Keywords
Sums of powers of natural numbers , Faulhaber’s polynomials , Bernoulli polynomials and Bernoulli numbers , Laguerre polynomials , decomposition , Ring of polynomials
Journal title
Applied Mathematics Letters
Serial Year
2012
Journal title
Applied Mathematics Letters
Record number
1528292
Link To Document