Multidimensional Analog of the Bernoulli Polynomials and its Properties

DOI10.17516/1997-1397-2016-9-3-384-392OpenAlexW2527258264MaRDI QIDQ5853009

Ol'ga Andreevna Shishkina

Publication date: 18 March 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu497

zbMATH Keywords

generating functionsTodd operatorBernoulli numbers and polynomialsrational cone

Mathematics Subject Classification ID

Combinatorics (05-XX) Number theory (11-XX)

Related Items (2)

Unnamed Item ⋮ Generalized Bernoulli Numbers and Polynomials in the Context of the Clifford Analysis

Cites Work

• Remarks on some relationships between the Bernoulli and Euler polynomials.
• Lacunary recurrence formulas for the numbers of Bernoulli and Euler
• Simple explicit expressions for generalized Bernoulli numbers of the first order
• Lattice Points in Polytopes, Box Splines, and Todd Operators
• The Classical Umbral Calculus
• Lattice points in simple polytopes
• Residue formulae, vector partition functions and lattice points in rational polytopes
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