scientific article; zbMATH DE number 7715747

MaRDI QIDQ6175262

Unnamed Author, Evgeniĭ Konstantinovich Leĭnartas, A. P. Lyapin

Publication date: 21 July 2023

Full work available at URL: http://mathnet.ru/eng/jsfu1065

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zbMATH Keywords

Bernoulli numbersBernoulli polynomialsTodd operatorEuler-Maclaurin formulamultidimensional difference equationsummation problem

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Difference operators (39A70) Approximation to limiting values (summation of series, etc.) (40A25) Function-theoretic methods (including power series methods and semicontinuous methods) for summability (40C15)

Cites Work

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• On the rational summation problem
• On the foundations of combinatorial theory. VIII: Finite operator calculus
• Sections of the generating series of a solution to a difference equation in a simplicial cone
• Lattice points in simple polytopes
• Generating functions for vector partition functions and a basic recurrence relation
• Bernoulli Numbers and Zeta Functions
• On the summation of rational functions
• Multidimensional Analog of the Bernoulli Polynomials and its Properties
• The Discrete Analog of the Newton-Leibniz Formula in the Problem of Summation over Simplex Lattice Points

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