Helmuth R. Malonek

1.2k total citations
50 papers, 653 citations indexed

About

Helmuth R. Malonek is a scholar working on Applied Mathematics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Helmuth R. Malonek has authored 50 papers receiving a total of 653 indexed citations (citations by other indexed papers that have themselves been cited), including 43 papers in Applied Mathematics, 15 papers in Geometry and Topology and 10 papers in Algebra and Number Theory. Recurrent topics in Helmuth R. Malonek's work include Algebraic and Geometric Analysis (43 papers), Holomorphic and Operator Theory (21 papers) and Mathematical Analysis and Transform Methods (19 papers). Helmuth R. Malonek is often cited by papers focused on Algebraic and Geometric Analysis (43 papers), Holomorphic and Operator Theory (21 papers) and Mathematical Analysis and Transform Methods (19 papers). Helmuth R. Malonek collaborates with scholars based in Portugal, Germany and Mexico. Helmuth R. Malonek's co-authors include M. I. Falcão, Klaus Gürlebeck, Isabel Cação, Guangbin Ren, George Psihoyios, Ch. Tsitouras, Theodore E. Simos, Dixan Peña Peña, Frank Sommen and Richard Delanghe and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Computational and Applied Mathematics and Mathematical and Computer Modelling.

In The Last Decade

Helmuth R. Malonek

47 papers receiving 618 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Helmuth R. Malonek Portugal 16 616 198 122 76 75 50 653
Thomas Bloom Canada 14 457 0.7× 355 1.8× 66 0.5× 20 0.3× 150 2.0× 57 602
Graziano Gentili Italy 15 919 1.5× 271 1.4× 225 1.8× 45 0.6× 86 1.1× 50 963
Uwe Kähler Portugal 15 577 0.9× 98 0.5× 49 0.4× 38 0.5× 88 1.2× 79 619
Guangbin Ren China 14 532 0.9× 166 0.8× 56 0.5× 21 0.3× 76 1.0× 82 571
Vladimir Bolotnikov United States 13 487 0.8× 114 0.6× 64 0.5× 41 0.5× 232 3.1× 95 598
Frank Sommen Belgium 16 758 1.2× 95 0.5× 154 1.3× 19 0.3× 71 0.9× 69 784
Howard Jacobowitz United States 10 331 0.5× 222 1.1× 55 0.5× 66 0.9× 141 1.9× 45 469
Steven R. Bell United States 18 908 1.5× 563 2.8× 110 0.9× 10 0.1× 150 2.0× 65 988
Adrian Vajiac United States 8 170 0.3× 71 0.4× 22 0.2× 69 0.9× 61 0.8× 12 265
Maks A. Akivis Israel 10 153 0.2× 259 1.3× 62 0.5× 35 0.5× 44 0.6× 40 361

Countries citing papers authored by Helmuth R. Malonek

Since Specialization
Citations

This map shows the geographic impact of Helmuth R. Malonek's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Helmuth R. Malonek with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Helmuth R. Malonek more than expected).

Fields of papers citing papers by Helmuth R. Malonek

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Helmuth R. Malonek. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Helmuth R. Malonek. The network helps show where Helmuth R. Malonek may publish in the future.

Co-authorship network of co-authors of Helmuth R. Malonek

This figure shows the co-authorship network connecting the top 25 collaborators of Helmuth R. Malonek. A scholar is included among the top collaborators of Helmuth R. Malonek based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Helmuth R. Malonek. Helmuth R. Malonek is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Cação, Isabel, et al.. (2023). Generalized Vietoris’ number sequences from real and hypercomplex points of view. AIP conference proceedings. 2849. 60012–60012. 1 indexed citations
2.
Karapetyants, Alexey, Vladislav V. Kravchenko, Elijah Liflyand, & Helmuth R. Malonek. (2021). Operator Theory and Harmonic Analysis. Springer proceedings in mathematics & statistics. 4 indexed citations
3.
Cação, Isabel, et al.. (2019). Combinatorial identities associated with a multidimensional polynomial sequence. RepositóriUM (Universidade do Minho). 21. 1 indexed citations
4.
Cação, Isabel, M. I. Falcão, & Helmuth R. Malonek. (2017). Hypercomplex Polynomials, Vietoris’ Rational Numbers and a Related Integer Numbers Sequence. Complex Analysis and Operator Theory. 11(5). 1059–1076. 17 indexed citations
5.
Cação, Isabel, M. I. Falcão, & Helmuth R. Malonek. (2017). On Vietoris' number sequence and combinatorial identities with quaternions. RepositóriUM (Universidade do Minho). 480–488. 1 indexed citations
6.
Cação, Isabel, M. I. Falcão, & Helmuth R. Malonek. (2015). Three-Term Recurrence Relations for Systems of Clifford Algebra-Valued Orthogonal Polynomials. Advances in Applied Clifford Algebras. 27(1). 71–85. 3 indexed citations
7.
Malonek, Helmuth R. & M. I. Falcão. (2012). On Paravector Valued Homogeneous Monogenic Polynomials with Binomial Expansion. Advances in Applied Clifford Algebras. 22(3). 789–801. 2 indexed citations
8.
Falcão, M. I., et al.. (2012). On pseudo-complex bases for monogenic polynomials. AIP conference proceedings. 350–355. 3 indexed citations
9.
Malonek, Helmuth R., et al.. (2010). A note on a generalized Joukowski transformation. Applied Mathematics Letters. 23(10). 1174–1178. 22 indexed citations
10.
Cação, Isabel, M. I. Falcão, & Helmuth R. Malonek. (2010). Laguerre derivative and monogenic Laguerre polynomials: An operational approach. Mathematical and Computer Modelling. 53(5-6). 1084–1094. 32 indexed citations
11.
Malonek, Helmuth R., Dixan Peña Peña, & F. Sommen. (2009). A Cauchy-Kowalevski theorem for inframonogenic functions. ArXiv.org. 53(1). 167–172. 16 indexed citations
12.
Cação, Isabel & Helmuth R. Malonek. (2008). On Complete Sets of Hypercomplex Appell Polynomials. AIP conference proceedings. 647–650. 30 indexed citations
13.
Malonek, Helmuth R., et al.. (2008). On a Higher Dimensional Analogue of the Joukowski Transformation. AIP conference proceedings. 630–633. 7 indexed citations
14.
Malonek, Helmuth R. & M. I. Falcão. (2008). Clifford Analysis between Continuous and Discrete. AIP conference proceedings. 682–685. 2 indexed citations
15.
Falcão, M. I., Helmuth R. Malonek, Theodore E. Simos, George Psihoyios, & Ch. Tsitouras. (2007). Generalized Exponentials through Appell sets in R[sup n+1] and Bessel functions. AIP conference proceedings. 936. 738–741. 51 indexed citations
16.
Falcão, M. I., et al.. (2006). Remarks on the generation of monogenic functions. Publication Server of Weimar Bauhaus-University (Weimar Bauhaus-University). 28 indexed citations
17.
Bock, S., M. I. Falcão, Klaus Gürlebeck, & Helmuth R. Malonek. (2005). A 3-dimensional Bergman kernel method with applications to rectangular domains. Journal of Computational and Applied Mathematics. 189(1-2). 67–79. 7 indexed citations
18.
Cerejeiras, Paula, Klaus Gürlebeck, Uwe Kähler, & Helmuth R. Malonek. (2001). A Quaternionic Beltrami-Type Equation and the Existence of Local Homeomorphic Solutions. Zeitschrift für Analysis und ihre Anwendungen. 20(1). 17–34. 9 indexed citations
19.
Gürlebeck, Klaus & Helmuth R. Malonek. (2001). On strict inclusions of weighted dirichlet spaces of monogenic functions. Bulletin of the Australian Mathematical Society. 64(1). 33–50. 15 indexed citations
20.
Malonek, Helmuth R.. (1990). A new hypercomplex structure of the euclidean space R m+1 and the concept of hypercomplex differentiability. Complex Variables Theory and Application An International Journal. 14(1-4). 25–33. 20 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact

Rankless by CCL
2026