Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2023 16 (2)
- Authors
- Grigoriev, Andrey A.; Leinartas, Evgeniy K.; Lyapin, Alexander P.
- Contact information
- Grigoriev, Andrey A.: Siberian Federal University Krasnoyarsk, Russian Federation; ; Leinartas, Evgeniy K.: Siberian Federal University Krasnoyarsk, Russian Federation; ; Lyapin, Alexander P.: Siberian Federal University Krasnoyarsk, Russian Federation Fairmont State University Fairmont, WV, USA;
- Keywords
- Bernoulli numbers; Bernoulli polynomials; summation problem; multidimensional difference equation; Euler–Maclaurin formula; Todd operator
- Abstract
We define a set of polynomial difference operators which allows us to solve the summation problem and describe the space of polynomial solutions for these operators in equations with the polyno- mial right-hand side. The criterion describing these polynomial difference operators was obtained. The theorem describing the space of polynomial solutions for the operators was proved
- Pages
- 153–161
- EDN
- BBJNGZ
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/149921
Journal of Siberian Federal University. Mathematics & Physics / Summation of Functions and Polynomial Solutions to a Multidimensional Difference Equation
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