Multidimensional analogues of the Euler-Maclaurin summation formula and the Borel transform of power series

DOI10.33048/semi.2022.19.008zbMath1480.65006OpenAlexW4220976334MaRDI QIDQ2667895

Maksim Evgenyevich Petrochenko, Evgeniĭ Konstantinovich Leĭnartas

Publication date: 2 March 2022

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2022.19.008

zbMATH Keywords

Euler-Maclaurin formulasummation of functionsBorel transform of power series

Mathematics Subject Classification ID

Euler-Maclaurin formula in numerical analysis (65B15) Entire functions of several complex variables (32A15)

Cites Work

• The Euler-Maclaurin formula for rational parallelotope
• A discrete analogue of Euler's summation formula
• Lattice points in simple polytopes
• Residue formulae, vector partition functions and lattice points in rational polytopes
• Generating functions for vector partition functions and a basic recurrence relation
• A characterization of the growth of an entire function of two variables and its application to the summation of double power series
• The Discrete Analog of the Newton-Leibniz Formula in the Problem of Summation over Simplex Lattice Points
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