This article is cited in 5 papers

The Euler–Maclaurin formula and differential operators of infinite order

Olga A. Shishkina

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia

Abstract: We use methods of the theory of differential operators of infinite order for solving difference equations and for generalizing the Euler–Maclaurin formula in the case of multiple summation.

Keywords: indefinite summation, difference equations, differential operators of infinite order.

UDC: 517.55+517.96

Received: 11.09.2014
Received in revised form: 02.10.2014
Accepted: 27.11.2014

Language: English