Geodesic
The Euler--Maclaurin formula and differential operators of infinite order
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 8 (2015) no. 1, pp. 86-93

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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. 
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Olga A. Shishkina. The Euler--Maclaurin formula and differential operators of infinite order. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 8 (2015) no. 1, pp. 86-93. http://geodesic.mathdoc.fr/item/JSFU_2015_8_1_a10/