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Journal Articles
- 2019
[j5]Isabel Cação
, M. Irene Falcão, Helmuth R. Malonek:
On generalized Vietoris' number sequences. Discret. Appl. Math. 269: 77-85 (2019)- 2018
- [j4]Isabel Cação, Helmuth R. Malonek, M. Irene Falcão, Graça Tomaz:
Combinatorial Identities Associated with a Multidimensional Polynomial Sequence. J. Integer Seq. 21(7): 18.7.4 (2018) - 2017
- [j3]Maria Irene Falcão, Fernando Miranda, Ricardo Severino, Maria Joana Soares:
Iteration of Quadratic Maps on Coquaternions. Int. J. Bifurc. Chaos 27(12): 1730039:1-1730039:22 (2017) - 2014
- [j2]Maria Irene Falcão:
Newton method in the context of quaternion analysis. Appl. Math. Comput. 236: 458-470 (2014) - 2011
- [j1]Isabel Cação, M. Irene Falcão, Helmuth R. Malonek:
Laguerre derivative and monogenic Laguerre polynomials: An operational approach. Math. Comput. Model. 53(5-6): 1084-1094 (2011)
Conference and Workshop Papers
- 2023
- [c18]Isabel Cação, M. Irene Falcão, Helmuth R. Malonek, Fernando Miranda, Graça Tomaz:
Remarks on the Vietoris Sequence and Corresponding Convolution Formulas. ICCSA (Workshops 1) 2023: 677-692 - [c17]Maria Irene Falcão, Fernando Miranda, Ricardo Severino, Maria Joana Soares:
A Two-Step Quaternionic Root-Finding Method. ICCSA (Workshops 1) 2023: 708-721 - [c16]Maria Irene Falcão, Fernando Miranda, Ricardo Severino, Maria Joana Soares:
The Stability of Complex Dynamics for Two Families of Coquaternionic Quadratic Polynomials. ICCSA (Workshops 1) 2023: 722-734 - 2022
- [c15]Maria Irene Falcão, Fernando Miranda, Ricardo Severino, Maria Joana Soares:
A Modified Quaternionic Weierstrass Method. ICCSA (Workshops 1) 2022: 407-419 - [c14]Isabel Cação, M. Irene Falcão, Helmuth R. Malonek, Graça Tomaz:
Non-symmetric Number Triangles Arising from Hypercomplex Function Theory in $\mathbb {R}^{n+1}$. ICCSA (Workshops 1) 2022: 420-434 - [c13]Maria Irene Falcão, Fernando Miranda, Ricardo Severino, Maria Joana Soares:
Fixed Points for Cubic Coquaternionic Maps. ICCSA (Workshops 1) 2022: 450-465 - [c12]Maria Irene Falcão, Fernando Miranda, Ricardo Severino, Maria Joana Soares:
Remarks on the Zeros of Quadratic Coquaternionic Polynomials. ICCSA (Workshops 1) 2022: 466-477 - 2021
- [c11]Maria Irene Falcão, Helmuth R. Malonek:
A Pascal-Like Triangle with Quaternionic Entries. ICCSA (4) 2021: 439-448 - [c10]Maria Irene Falcão, Fernando Miranda, Ricardo Severino, Maria Joana Soares:
Mathematica Tools for Coquaternions. ICCSA (4) 2021: 449-464 - 2017
- [c9]Maria Irene Falcão, Fernando Miranda, Ricardo Severino, Maria Joana Soares:
Polynomials over Quaternions and Coquaternions: A Unified Approach. ICCSA (2) 2017: 379-393 - [c8]M. Irene Falcão, Fernando Miranda, Ricardo Severino, Maria Joana Soares:
Mathematica Tools for Quaternionic Polynomials. ICCSA (2) 2017: 394-408 - 2014
- [c7]Carla Cruz, M. Irene Falcão, Helmuth R. Malonek:
On Numerical Aspects of Pseudo-Complex Powers in ℝ3. ICCSA (1) 2014: 1-16 - [c6]Fernando Miranda, M. Irene Falcão:
Modified Quaternion Newton Methods. ICCSA (1) 2014: 146-161 - [c5]Carla Cruz, M. Irene Falcão, Helmuth R. Malonek:
Monogenic Polynomials of Four Variables with Binomial Expansion. ICCSA (1) 2014: 204-220 - 2013
- [c4]Carla Cruz, M. Irene Falcão, Helmuth R. Malonek:
A Note on Totally Regular Variables and Appell Sequences in Hypercomplex Function Theory. ICCSA (1) 2013: 293-303 - 2011
- [c3]M. Irene Falcão, Fernando Miranda:
Quaternions: A Mathematica Package for Quaternionic Analysis. ICCSA (3) 2011: 200-214 - [c2]Isabel Cação, M. Irene Falcão, Helmuth R. Malonek:
On Generalized Hypercomplex Laguerre-Type Exponentials and Applications. ICCSA (3) 2011: 271-286 - [c1]Carla Cruz, M. Irene Falcão, Helmuth R. Malonek:
3D Mappings by Generalized Joukowski Transformations. ICCSA (3) 2011: 358-373
Editorship
- 2014
- [e6]Beniamino Murgante, Sanjay Misra, Ana Maria A. C. Rocha, Carmelo Maria Torre, Jorge Gustavo Rocha, Maria Irene Falcão, David Taniar, Bernady O. Apduhan, Osvaldo Gervasi:
Computational Science and Its Applications - ICCSA 2014 - 14th International Conference, Guimarães, Portugal, June 30 - July 3, 2014, Proceedings, Part I. Lecture Notes in Computer Science 8579, Springer 2014, ISBN 978-3-319-09143-3 [contents] - [e5]Beniamino Murgante, Sanjay Misra, Ana Maria A. C. Rocha, Carmelo Maria Torre, Jorge Gustavo Rocha, Maria Irene Falcão, David Taniar, Bernady O. Apduhan, Osvaldo Gervasi:
Computational Science and Its Applications - ICCSA 2014 - 14th International Conference, Guimarães, Portugal, June 30 - July 3, 2014, Proceedings, Part II. Lecture Notes in Computer Science 8580, Springer 2014, ISBN 978-3-319-09128-0 [contents] - [e4]Beniamino Murgante, Sanjay Misra, Ana Maria A. C. Rocha, Carmelo Maria Torre, Jorge Gustavo Rocha, Maria Irene Falcão, David Taniar, Bernady O. Apduhan, Osvaldo Gervasi:
Computational Science and Its Applications - ICCSA 2014 - 14th International Conference, Guimarães, Portugal, June 30 - July 3, 2014, Proceedings, Part III. Lecture Notes in Computer Science 8581, Springer 2014, ISBN 978-3-319-09149-5 [contents] - [e3]Beniamino Murgante, Sanjay Misra, Ana Maria A. C. Rocha, Carmelo Maria Torre, Jorge Gustavo Rocha, Maria Irene Falcão, David Taniar, Bernady O. Apduhan, Osvaldo Gervasi:
Computational Science and Its Applications - ICCSA 2014 - 14th International Conference, Guimarães, Portugal, June 30 - July 3, 2014, Proceedings, Part IV. Lecture Notes in Computer Science 8582, Springer 2014, ISBN 978-3-319-09146-4 [contents] - [e2]Beniamino Murgante, Sanjay Misra, Ana Maria A. C. Rocha, Carmelo Maria Torre, Jorge Gustavo Rocha, Maria Irene Falcão, David Taniar, Bernady O. Apduhan, Osvaldo Gervasi:
Computational Science and Its Applications - ICCSA 2014 - 14th International Conference, Guimarães, Portugal, June 30 - July 3, 2014, Proceedings, Part V. Lecture Notes in Computer Science 8583, Springer 2014, ISBN 978-3-319-09155-6 [contents] - [e1]Beniamino Murgante, Sanjay Misra, Ana Maria A. C. Rocha, Carmelo Maria Torre, Jorge Gustavo Rocha, Maria Irene Falcão, David Taniar, Bernady O. Apduhan, Osvaldo Gervasi:
Computational Science and Its Applications - ICCSA 2014 - 14th International Conference, Guimarães, Portugal, June 30 - July 3, 2014, Proceedings, Part VI. Lecture Notes in Computer Science 8584, Springer 2014, ISBN 978-3-319-09152-5 [contents]
Coauthor Index
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