Sreelatha Chandragiri, Olga A. Shishkina, “Generalized Bernoulli numbers and polynomials in the context of the Clifford analysis”, J. Sib. Fed. Univ. Math. Phys., 2018, Volume 11, Issue 2,Pages <nobr>127

This article is cited in 5 papers

Generalized Bernoulli numbers and polynomials in the context of the Clifford analysis

Sreelatha Chandragiri^ab, Olga A. Shishkina^a

^a Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
^b Institute of Science, Technology and Advanced Studies, Vels University, Pallavaram, Chennai, 600117, India

Abstract: In this paper, we consider the generalization of the Bernoulli numbers and polynomials for the case of the hypercomplex variables. Multidimensional analogs of the main properties of classic polynomials are proved.

Keywords: hypercomplex Bernoulli polynomials, generating functions, Clifford analysis.

UDC: 517.55+517.962.26

Received: 31.05.2017
Received in revised form: 10.08.2017
Accepted: 20.11.2017

Language: English

DOI: 10.17516/1997-1397-2018-11-2-127-136