Generalized Bernoulli Numbers and Polynomials in the Context of the Clifford Analysis

DOI10.17516/1997-1397-2018-11-2-127-136OpenAlexW2794562034MaRDI QIDQ5853219

Ol'ga Andreevna Shishkina, Sreelatha Chandragiri

Publication date: 18 March 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu653

zbMATH Keywords

generating functionsClifford analysishypercomplex Bernoulli polynomials

Mathematics Subject Classification ID

Special functions (33-XX) Number theory (11-XX)

Cites Work

• Twisted \((h,q)\)-Bernoulli numbers and polynomials related to twisted \((h,q)\)-zeta function and \(L\)-function
• Bernoulli polynomials and Pascal matrices in the context of Clifford analysis
• Generalizations of the Bernoulli and Appell polynomials
• A generalization of the Bernoulli polynomials
• On paravector valued homogeneous monogenic polynomials with binomial expansion
• Bernoulli matrix and its algebraic properties
• On regular-analytic functions with values in a Clifford-algebra
• Power series representation for monogenic functions in based on a permutational product
• A new hypercomplex structure of the euclidean space R ^m+1 and the concept of hypercomplex differentiability
• New approach to the complete sum of products of the twisted (h, q)-Bernoulli numbers and polynomials
• Bernoulli special monogenic polynomials with the difference and sum polynomial bases
• Multidimensional Analog of the Bernoulli Polynomials and its Properties
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