Výsledky vyhledávání - "Graça Tomaz"

Harmonic Analysis and hypercomplex function theory in co-dimension one

Autor: Isabel Cação, M. Irene Falcão, Graça Tomaz, Helmuth R. Malonek

Publikováno v: Springer Proceedings in Mathematics & Statistics ISBN: 9783030267476

Fundamentals of a function theory in co-dimension one for Clifford algebra valued functions over ℝn+1 are considered. Special attention is given to their origins in analytic properties of holomorphic functions of one and, by some duality reasons, a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49251d27e7c948a118e99beff6aaddc1
http://hdl.handle.net/10773/28896

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Matrix approach to hypercomplex Appell polynomials

Autor: Graça Tomaz, Helmuth R. Malonek, Lidia Aceto

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

Recently the authors presented a matrix representation approach to real Appell polynomials essentially determined by a nilpotent matrix with natural number entries. It allows to consider a set of real Appell polynomials as solution of a suitable firs

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4f1a2c6e5a033a9c63a63566813a3fb

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Shifted Generalized Pascal Matrices in the Context of Clifford Algebra-Valued Polynomial Sequences

Autor: Graça Tomaz, Helmuth R. Malonek, Isabel Cação

Publikováno v: Computational Science and Its Applications – ICCSA 2017 ISBN: 9783319623948
ICCSA (2)

The paper shows the role of shifted generalized Pascal matrices in a matrix representation of hypercomplex orthogonal Appell systems. It extends results obtained in previous works in the context of Appell sequences whose first term is a real constant

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f9f8b6c7e8e70b698bdf52147d8c30df
https://doi.org/10.1007/978-3-319-62395-5_28

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Bernoulli polynomials and Pascal matrices in the context of Clifford analysis

Autor: Graça Tomaz, Helmuth R. Malonek

Publikováno v: Discrete Applied Mathematics. 157(4):838-847

This paper describes an approach to generalized Bernoulli polynomials in higher dimensions by using Clifford algebras. Due to the fact that the obtained Bernoulli polynomials are special hypercomplex holomorphic (monogenic) functions in the sense of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fbe13d024dac4660901f4ecd95c8fb74

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A unified matrix approach to the representation of Appell polynomials

Autor: Graça Tomaz, Helmuth R. Malonek, Lidia Aceto

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

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Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d371a44914f42f24d46ecab0d8b203cd
http://hdl.handle.net/10773/15214

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Matrix approach to Frobenius-Euler polynomials

Autor: Graça Tomaz, Helmuth R. Malonek

Publikováno v: Computational Science and Its Applications – ICCSA 2014 ISBN: 9783319091433
ICCSA (1)

In the last two years Frobenius-Euler polynomials have gained renewed interest and were studied by several authors. This paper presents a novel approach to these polynomials by treating them as Appell polynomials. This allows to apply an elementary m

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b87bee5e7a2a4c3a122ddbee71bddf1
http://hdl.handle.net/10773/15233

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Pascal's triangle and other number triangles in Clifford analysis

Autor: Graça Tomaz, Maria Irene Falcão, Helmuth R. Malonek

Publikováno v: AIP Conference Proceedings.

The recent introduction of generalized Appell sequences in the framework of Clifford Analysis solved an open question about a suitable construction of power-like monogenic polynomials as generalizations of the integer powers of a complex variable. Th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0467fab6cd492436c8e52e8974a6d2cf
https://doi.org/10.1063/1.4756125

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Laguerre polynomials in several hypercomplex variables and their matrix representation

Autor: Helmuth R. Malonek, Graça Tomaz

Publikováno v: Computational Science and Its Applications-ICCSA 2011 ISBN: 9783642219306
ICCSA (3)

Recently the creation matrix, intimately related to the Pascal matrix and its generalizations, has been used to develop matrix representations of special polynomials, in particular Appell polynomials. In this paper we describe a matrix approach to po

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::480efa22ef50d4aa79b351f483ba4e92
http://hdl.handle.net/10773/15313

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