Geodesic
Multidimensional analog of the Bernoulli polynomials and its properties
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 3, pp. 384-392

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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.
Keywords: Bernoulli numbers and polynomials, generating functions, Todd operator, rational cone. 
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     title = {Multidimensional analog of the {Bernoulli} polynomials and its properties},
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Olga A. Shishkina. Multidimensional analog of the Bernoulli polynomials and its properties. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 3, pp. 384-392. http://geodesic.mathdoc.fr/item/JSFU_2016_9_3_a13/