Generalized Bernoulli numbers and polynomials in the context of the Clifford analysis
Sreelatha Chandragiriab, Olga A. Shishkinaa
a Institute of Mathematics and Computer Science,
Siberian Federal University,
Svobodny, 79, Krasnoyarsk, 660041,
b Institute of Science, Technology and Advanced Studies,
Pallavaram, Chennai, 600117,
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.
hypercomplex Bernoulli polynomials, generating functions, Clifford analysis.
|Ministry of Education and Science of the Russian Federation
|Russian Foundation for Basic Research
|PhD SibFU grant for support of scientific research
|This work of first author was financed by the PhD SibFU grant for support of scientific
research no. 14.
This work of second author is supported by the Russian Federation Government grant to
conduct research under the guidance of leading scientists at Siberian Federal University (contract
14.Y26.31.0006) and was financed by the grant of the President of the Russian Federation for
state support of leading scientific schools NSh-9149.2016.1.
The reported study was funded by RFBR according to the research project no. 18-31-00232.
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Received in revised form: 10.08.2017
Sreelatha Chandragiri, Olga A. Shishkina, “Generalized Bernoulli numbers and polynomials in the context of the Clifford analysis”, J. Sib. Fed. Univ. Math. Phys., 11:2 (2018), 127–136
Citation in format AMSBIB
\by Sreelatha~Chandragiri, Olga~A.~Shishkina
\paper Generalized Bernoulli numbers and polynomials in the context of the Clifford analysis
\jour J. Sib. Fed. Univ. Math. Phys.
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