Journal of Siberian Federal University. Mathematics & Physics / Multidimensional Analog of the Bernoulli Polynomials and its Properties

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2016 9 (3)
Authors
Shishkina, Olga A.
Contact information
Shishkina, Olga A.:Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russial;
Keywords
Bernoulli numbers and polynomials; generating functions; Todd operator; rational cone
Abstract

We consider a generalization of the Bernoulli numbers and polynomials to several variables, namely, we define the Bernoulli numbers associated with a rational cone and the corresponding Bernoulli polynomials. Also, we prove some properties of the Bernoulli polynomials

Pages
384–392
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/20405