Bernoulli polynomials and Pascal matrices in the context of Clifford analysis

DOI10.1016/j.dam.2008.06.009zbMath1238.11023OpenAlexW2004391469WikidataQ58197938 ScholiaQ58197938MaRDI QIDQ1028484

Helmuth R. Malonek, Graça Tomaz

Publication date: 30 June 2009

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2008.06.009

zbMATH Keywords

Bernoulli numbersClifford analysismonogenic functionsblock Pascal matrixhypercomplex Bernoulli matrixhypercomplex Bernoulli polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Functions of hypercomplex variables and generalized variables (30G35)

Related Items (8)

A conformal group approach to the Dirac–Kähler system on the lattice ⋮ Classes of hypercomplex polynomials of discrete variable based on the quasi-monomiality principle ⋮ On Hadamard's three‐hyperballs theorem and its applications to Whittaker‐Cannon hypercomplex theory ⋮ Monogenic Appell sets as representations of the Heisenberg algebra ⋮ Bernoulli special monogenic polynomials with the difference and sum polynomial bases ⋮ (Discrete) Almansi type decompositions: an umbral calculus framework based on osp(1|2) symmetries ⋮ Generalized Bernoulli Numbers and Polynomials in the Context of the Clifford Analysis ⋮ Bernoulli and Euler polynomials in Clifford analysis

Cites Work

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• Twisted \((h,q)\)-Bernoulli numbers and polynomials related to twisted \((h,q)\)-zeta function and \(L\)-function
• Remarks on some relationships between the Bernoulli and Euler polynomials.
• Generalizations of the Bernoulli and Appell polynomials
• A generalization of the Bernoulli polynomials
• Bernoulli matrix and its algebraic properties
• The Matrices of Pascal and Other Greats
• 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
• Pascal's Matrices

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