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Journal of Siberian Federal University. Mathematics & Physics, 2018, Volume 11, Issue 2, Pages 127–136
DOI: https://doi.org/10.17516/1997-1397-2018-11-2-127-136 (Mi jsfu653) 		 
This article is cited in 5 scientific papers (total in 5 papers)

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, Russia
b Institute of Science, Technology and Advanced Studies, Vels University, Pallavaram, Chennai, 600117, India
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DOI: https://doi.org/10.17516/1997-1397-2018-11-2-127-136
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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.Y26.31.0006
NSh-9149.2016.1
Russian Foundation for Basic Research 18-31-00232
PhD SibFU grant for support of scientific research 14
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.
Received: 31.05.2017
Received in revised form: 10.08.2017
Accepted: 20.11.2017
Bibliographic databases:
Document Type: Article
UDC: 517.55+517.962.26
Language: English
Citation: 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
\Bibitem{ChaShi18}
\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.
\yr 2018
\vol 11
\issue 2
\pages 127--136
\mathnet{http://mi.mathnet.ru/jsfu653}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-2-127-136}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000434678300001}
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  • https://www.mathnet.ru/eng/jsfu653
  • https://www.mathnet.ru/eng/jsfu/v11/i2/p127
    • This publication is cited in the following 5 articles:
    1. Hongfen Yuan, Guohong Shi, Xiushen Hu, “Boundary Value Problems for the Perturbed Dirac Equation”, Axioms, 13:4 (2024), 238  crossref
    2. Kadir Kanat, Selin Erdal, “Szász–Durrmeyer Operators Involving Confluent Appell Polynomials”, Axioms, 13:3 (2024), 135  crossref
    3. Jianqiang Zhao, “Finite and Symmetric Euler Sums and Finite and Symmetric (Alternating) Multiple T-Values”, Axioms, 13:4 (2024), 210  crossref
    4. Xiaopeng Liu, Yuanyuan Liu, “Perturbed Dirac Operators and Boundary Value Problems”, Axioms, 13:6 (2024), 363  crossref
    5. Juan Hernández, Dionisio Peralta, Yamilet Quintana, “A Look at Generalized Degenerate Bernoulli and Euler Matrices”, Mathematics, 11:12 (2023), 2731  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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