Sergio Falcón

1.1k total citations
37 papers, 771 citations indexed

About

Sergio Falcón is a scholar working on Statistical and Nonlinear Physics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Sergio Falcón has authored 37 papers receiving a total of 771 indexed citations (citations by other indexed papers that have themselves been cited), including 32 papers in Statistical and Nonlinear Physics, 19 papers in Mathematical Physics and 11 papers in Computational Theory and Mathematics. Recurrent topics in Sergio Falcón's work include Advanced Mathematical Theories and Applications (32 papers), Advanced Mathematical Theories (18 papers) and Graph Labeling and Dimension Problems (10 papers). Sergio Falcón is often cited by papers focused on Advanced Mathematical Theories and Applications (32 papers), Advanced Mathematical Theories (18 papers) and Graph Labeling and Dimension Problems (10 papers). Sergio Falcón collaborates with scholars based in Spain. Sergio Falcón's co-authors include Ángel Plaza and José P. Suárez and has published in prestigious journals such as SHILAP Revista de lepidopterología, Chaos Solitons & Fractals and Applied Mathematics and Computation.

In The Last Decade

Sergio Falcón

31 papers receiving 657 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Sergio Falcón Spain	12	684	328	188	163	146	37	771
Jósé L. Ramírez Colombia	10	172 0.3×	79 0.2×	21 0.1×	176 1.1×	61 0.4×	79	359
Marjorie Bicknell United States	10	250 0.4×	93 0.3×	37 0.2×	105 0.6×	75 0.5×	41	388
A. F. Horadam Australia	10	304 0.4×	112 0.3×	50 0.3×	142 0.9×	57 0.4×	36	420
Mustapha Rachidi Morocco	12	207 0.3×	85 0.3×	29 0.2×	98 0.6×	150 1.0×	71	384
Martine Queffélec France	9	86 0.1×	436 1.3×	47 0.3×	65 0.4×	431 3.0×	16	767
István Mező China	14	159 0.2×	40 0.1×	13 0.1×	318 2.0×	36 0.2×	48	579
Abdenacer Makhlouf France	13	136 0.2×	302 0.9×	64 0.3×	732 4.5×	85 0.6×	85	802
Wenpeng Zhang China	20	249 0.4×	468 1.4×	30 0.2×	1.1k 6.9×	34 0.2×	173	1.3k
Bernd Fritzsche Germany	14	153 0.2×	360 1.1×	17 0.1×	68 0.4×	344 2.4×	112	791
Tetsuya Hattori Japan	11	76 0.1×	251 0.8×	33 0.2×	21 0.1×	111 0.8×	60	445

Countries citing papers authored by Sergio Falcón

Since Specialization

Citations

This map shows the geographic impact of Sergio Falcón'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 Sergio Falcón with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Sergio Falcón more than expected).

Fields of papers citing papers by Sergio Falcón

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Sergio Falcón. 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 Sergio Falcón. The network helps show where Sergio Falcón may publish in the future.

Co-authorship network of co-authors of Sergio Falcón

This figure shows the co-authorship network connecting the top 25 collaborators of Sergio Falcón. A scholar is included among the top collaborators of Sergio Falcón 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 Sergio Falcón. Sergio Falcón is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Falcón, Sergio. (2024). On a Generalization of the Padovan Numbers. Journal of Advances in Mathematics and Computer Science. 39(3). 54–64.

Falcón, Sergio & Ángel Plaza. (2022). Iterated Partial Sums of the k-Fibonacci Sequences. Axioms. 11(10). 542–542. 3 indexed citations

Falcón, Sergio. (2019). Binomial Transform of the Generalized k-Fibonacci Numbers. Communications in Mathematics and Applications. 10(3). 6 indexed citations

Falcón, Sergio. (2018). Some new formulas on the K-Fibonacci numbers. JOURNAL OF ADVANCES IN MATHEMATICS. 14(1). 7439–7445. 3 indexed citations

Falcón, Sergio. (2017). On the K-Fibonacci Hankel and the 4 X 4 Skew Symmetric KFibonacci Matrices.. IOSR Journal of Mathematics. 13(1). 52–58.

Falcón, Sergio. (2016). On the powers of the k-Fibonacci numbers.. Ars Combinatoria. 127. 329–338.

Falcón, Sergio. (2014). Relationships between Some <i>k</i> -Fibonacci Sequences. Applied Mathematics. 5(15). 2226–2234. 4 indexed citations

Falcón, Sergio. (2014). Iterated Binomial Transforms of the k-Fibonacci Sequence. British Journal of Mathematics & Computer Science. 4(22). 3135–3145. 1 indexed citations

Falcón, Sergio. (2012). On the Lucas triangle and its relationship with the k-Lucas numbers. Journal of Mathematical and Computational Science. 2(3). 425–434. 5 indexed citations

10.

Falcón, Sergio. (2011). The k-Fibonacci matrix and the Pascal matrix. Open Mathematics. 9(6). 1403–1410. 7 indexed citations

11.

Plaza, Ángel, Sergio Falcón, & José P. Suárez. (2010). On the non-degeneracy property of the longest-edge trisection of triangles. Applied Mathematics and Computation. 216(3). 862–869. 9 indexed citations

12.

Falcón, Sergio & Ángel Plaza. (2009). Binomial Transforms of the k-Fibonacci Sequence. International Journal of Nonlinear Sciences and Numerical Simulation. 10(11-12). 1527–1538. 17 indexed citations

13.

Plaza, Ángel & Sergio Falcón. (2008). Combinatorial proofs of Honsberger-type identities. International Journal of Mathematical Education in Science and Technology. 39(6). 785–792. 1 indexed citations

14.

Plaza, Ángel & Sergio Falcón. (2008). Identities for generalized Fibonacci numbers: a combinatorial approach. International Journal of Mathematical Education in Science and Technology. 39(4). 563–566.

15.

Falcón, Sergio & Ángel Plaza. (2008). k-Fibonacci sequences modulo m. Chaos Solitons & Fractals. 41(1). 497–504. 16 indexed citations

16.

Falcón, Sergio & Ángel Plaza. (2008). On k-Fibonacci numbers of arithmetic indexes. Applied Mathematics and Computation. 208(1). 180–185. 34 indexed citations

17.

Falcón, Sergio & Ángel Plaza. (2008). The metallic ratios as limits of complex valued transformations. Chaos Solitons & Fractals. 41(1). 1–13. 4 indexed citations

18.

Falcón, Sergio & Ángel Plaza. (2007). The k-Fibonacci hyperbolic functions. Chaos Solitons & Fractals. 38(2). 409–420. 47 indexed citations

19.

Falcón, Sergio & Ángel Plaza. (2006). On the Fibonacci k-numbers. Chaos Solitons & Fractals. 32(5). 1615–1624. 208 indexed citations

20.

Plaza, Ángel, et al.. (2004). Mesh quality improvement and other properties in the four-triangles longest-edge partition. Computer Aided Geometric Design. 21(4). 353–369. 23 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.

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