Volume no :12, Issue no: 2, November (2014)

A BERNOULLI TYPE EXPANSION OF THE INVERSE TAYLOR OPERATOR, AND SOME OF ITS APPLICATIONS

Author's: Demetrios P. Kanoussis
Pages: [119] - [128]
Received Date: September 28, 2014
Submitted by:

Abstract

A Bernoulli type expansion of the inverse Taylor operator is introduced, and its application in solving the difference equation is investigated. Further applications relate to the Bernoulli and Euler polynomials, and to the evaluation of sums of powers of positive integers.

Keywords

difference operators, difference equations, Bernoulli numbers, Euler numbers.