publicações selecionadas
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artigo de conferência
- Symbolic Computations Over the Algebra of Coquaternions 2019
- Harmonic analysis and hypercomplex function theory in co-dimension one. Springer Proceedings in Mathematics & Statistics. 2019
- Combinatorial identities in the context of hypercomplex function theory. AIP Conference Proceedings. 2018
- Pascal trapezoids emerging from hypercomplex polynomial sequences 2018
- Vietoris' number sequence and its generalizations through hypercomplex function theory 2018
- On Vietoris' number sequence and combinatorial identities with quaternions 2017
- Quaternionic polynomials with multiple zeros: A numerical point of view. AIP Conference Proceedings. 2017
- Recurrence relations for Clifford algebra-valued orthogonal polynomials 2015
- A note on totally regular variables and Appell sequences in hypercomplex function theory. Computational Methods in Applied Sciences. 2013
- About Pascal's tetrahedron with hypercomplex entries. AIP Conference Proceedings. 2013
- On pseudo-complex bases for monogenic polynomials. AIP Conference Proceedings. 2012
- On the structure of generalized Appell sequences of paravector valued homogeneous monogenic polynomials. AIP Conference Proceedings. 2012
- Pascal's triangle and other number triangles in Clifford analysis. AIP Conference Proceedings. 2012
- Linking Clifford analysis and combinatorics through bijective methods 2011
- Monogenic generalized Laguerre and Hermite polynomials and related functions 2011
- On a quasi-conformal joukowski type transformation of second order in RM+1 2011
- On special functions in the context of clifford analysis. AIP Conference Proceedings. 2010
- Special functions versus elementary functions in hypercomplex function theory 2009
- Clifford analysis between continuous and discrete. AIP Conference Proceedings. 2008
- 3D-mappings and their approximations by series of powers of a small parameter 2007
- Maple tools for modified quaternionic analysis 2007
- Remarks on the generation of monogenic functions 2007
- Generalized exponentials through appell sets in Rn+1and Bessel functions. AIP Conference Proceedings. 2007
- Special monogenic polynomials - Properties and applications. AIP Conference Proceedings. 2007
- Applications of Bergman kernel functions 2003
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artigo de revista
- Dynamics of the coquaternionic maps x2 + bx. Rendiconti del Circolo Matematico di Palermo. 2023
- A Sturm-Liouville equation on the crossroads of continuous and discrete hypercomplex analysis. Mathematical Methods in the Applied Sciences. 2021
- Combinatorial identities associated with a multidimensional polynomial sequence. Journal of Integer Sequences. 2019
- On generalized Vietoris’ number sequences. Discrete Applied Mathematics. 2019
- The number of zeros of unilateral polynomials over coquaternions revisited. European Journal of Operational Research. 2019
- Computational Aspects of Quaternionic Polynomials - Part I: Manipulating, Evaluating and Factoring. The Mathematica Journal. 2018
- Computational Aspects of Quaternionic Polynomials - Part II: Root-Finding Methods. The Mathematica Journal. 2018
- Evaluation schemes in the ring of quaternionic polynomials. Bit Numerical Mathematics. 2018
- On the Roots of Coquaternions. Advances in Applied Clifford Algebras. 2018
- Weierstrass method for quaternionic polynomial root-finding. Mathematical Methods in the Applied Sciences. 2018
- Basins of attraction for a quadratic coquaternionic map. Chaos Solitons & Fractals. 2017
- Hypercomplex Polynomials, Vietoris’ Rational Numbers and a Related Integer Numbers Sequence. Complex Analysis and Operator Theory. 2017
- Iteration of Quadratic Maps on Coquaternions. International Journal of Bifurcation and Chaos. 2017
- Three-Term Recurrence Relations for Systems of Clifford Algebra-Valued Orthogonal Polynomials. Advances in Applied Clifford Algebras. 2017
- A Matrix Recurrence for Systems of Clifford Algebra-Valued Orthogonal Polynomials. Advances in Applied Clifford Algebras. 2014
- Monogenic pseudo-complex power functions and their applications. Mathematical Methods in the Applied Sciences. 2014
- Newton method in the context of quaternion analysis. Applied Mathematics and Computation. 2014
- A note on a one-parameter family of non-symmetric number triangles. Opuscula Mathematica. 2012
- Matrix representations of a special polynomial sequence in arbitrary dimension. Computational Methods and Function Theory. 2012
- On Paravector Valued Homogeneous Monogenic Polynomials with Binomial Expansion. Advances in Applied Clifford Algebras. 2012
- Laguerre derivative and monogenic Laguerre polynomials: An operational approach. Mathematical and Computer Modelling. 2011
- 3D-mappings by means of monogenic functions and their approximation. Mathematical Methods in the Applied Sciences. 2010
- A 3-dimensional Bergman kernel method with applications to rectangular domains. Journal of Computational and Applied Mathematics. 2006
- Approximating the conformal map of elongated quadrilaterals by domain decomposition. Constructive Approximation. 2001
- Curvilinear crosscuts of subdivision for a domain decomposition method in numerical conformal mapping. Journal of Computational and Applied Mathematics. 1999
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capítulo de livro
- A Two-Step Quaternionic Root-Finding Method. Computational Methods in Applied Sciences. 2023
- Remarks on the Vietoris Sequence and Corresponding Convolution Formulas. Computational Methods in Applied Sciences. 2023
- The Stability of Complex Dynamics for Two Families of Coquaternionic Quadratic Polynomials. Computational Methods in Applied Sciences. 2023
- A Modified Quaternionic Weierstrass Method. Computational Methods in Applied Sciences. 2022
- Fixed Points for Cubic Coquaternionic Maps. Computational Methods in Applied Sciences. 2022
- Non-symmetric Number Triangles Arising from Hypercomplex Function Theory in $$\mathbb {R}^{n+1}$$. Computational Methods in Applied Sciences. 2022
- Remarks on the Zeros of Quadratic Coquaternionic Polynomials. Computational Methods in Applied Sciences. 2022
- A Pascal-Like Triangle with Quaternionic Entries. Computational Methods in Applied Sciences. 2021
- Mathematica Tools for Coquaternions. Computational Methods in Applied Sciences. 2021
- Mathematica tools for quaternionic polynomials. Computational Methods in Applied Sciences. 2017
- Polynomials over quaternions and coquaternions: A unified approach. Computational Methods in Applied Sciences. 2017
- Modified quaternion Newton methods. Computational Methods in Applied Sciences. 2014
- Monogenic polynomials of four variables with binomial expansion. Computational Methods in Applied Sciences. 2014
- On numerical aspects of pseudo-complex powers in R3. Computational Methods in Applied Sciences. 2014
- 3D mappings by generalized Joukowski transformations. Computational Methods in Applied Sciences. 2011
- On generalized hypercomplex Laguerre-type exponentials and applications. Computational Methods in Applied Sciences. 2011
- Quaternions: A mathematica package for quaternionic analysis. Computational Methods in Applied Sciences. 2011
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documento
- Matemática Computacional II com o Mathematica 2020
- Dynamics with Coquaternions. CIM Bulletin. 2018
- Exercícios de álgebra linear 2016
- QuaternionAnalysis Mathematica Package 2014
- Matemática computacional I: programar em Matlab 2009
- 3D-Mappings using monogenic functions 2006
- Iniciação ao MATLAB 2001
- Complementos de análise numérica: valores e vectores próprios 2000
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relatório