J. Petronilho

975 total citations
39 papers, 654 citations indexed

About

J. Petronilho is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Atomic and Molecular Physics, and Optics. According to data from OpenAlex, J. Petronilho has authored 39 papers receiving a total of 654 indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Applied Mathematics, 15 papers in Computational Theory and Mathematics and 12 papers in Atomic and Molecular Physics, and Optics. Recurrent topics in J. Petronilho's work include Mathematical functions and polynomials (29 papers), Matrix Theory and Algorithms (15 papers) and Quantum Mechanics and Non-Hermitian Physics (10 papers). J. Petronilho is often cited by papers focused on Mathematical functions and polynomials (29 papers), Matrix Theory and Algorithms (15 papers) and Quantum Mechanics and Non-Hermitian Physics (10 papers). J. Petronilho collaborates with scholars based in Portugal, Spain and Mexico. J. Petronilho's co-authors include Carlos M. da Fonseca, Francisco Marcellán, Amílcar Branquinho, R. Álvarez-Nodarse, Niurka R. Quintero, Miguel A. Piñar, Teresa E. Pérez, Manuel Alfaro and M.L. Rezola and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Applied Mathematics and Computation and Numerische Mathematik.

In The Last Decade

J. Petronilho

37 papers receiving 620 citations

Peers

Countries citing papers authored by J. Petronilho

Since Specialization

Citations

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

Fields of papers citing papers by J. Petronilho

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of J. Petronilho

This figure shows the co-authorship network connecting the top 25 collaborators of J. Petronilho. A scholar is included among the top collaborators of J. Petronilho 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 J. Petronilho. J. Petronilho 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

#	Work	Indexed citations
1	Classical Orthogonal Polynomials Revisited 2023 ·Results in Mathematics ·(unknown), J. Petronilho	4
2	On discrete coherent pairs of measures 2022 ·The Journal of Difference Equations and Applications ·R. Álvarez-Nodarse, (unknown), (unknown), J. Petronilho	3
3	Remarks on Askey–Wilson polynomials and Meixner polynomials of the second kind 2021 ·The Ramanujan Journal ·(unknown), (unknown), J. Petronilho	2
4	Orthogonal polynomials generated by a linear structure relation: Inverse problem 2012 ·Journal of Mathematical Analysis and Applications ·Manuel Alfaro, (unknown), J. Petronilho, M.L. Rezola	8
5	Sobolev orthogonal polynomials and (M,N)-coherent pairs of measures 2012 ·Journal of Computational and Applied Mathematics ·(unknown), J. Petronilho	14
6	On orthogonal polynomials obtained via polynomial mappings 2010 ·Journal of Approximation Theory ·(unknown), J. Petronilho	19
7	On linearly related sequences of derivatives of orthogonal polynomials 2008 ·Journal of Mathematical Analysis and Applications ·(unknown), J. Petronilho	20
8	Orthogonal polynomials on the unit circle via a polynomial mapping on the real line 2007 ·Journal of Computational and Applied Mathematics ·J. Petronilho	6
9	Generic formulas for the values at the singular points of some special monic classical Hq,ω-orthogonal polynomials 2006 ·Journal of Computational and Applied Mathematics ·J. Petronilho	21
10	On the linear functionals associated to linearly related sequences of orthogonal polynomials 2005 ·Journal of Mathematical Analysis and Applications ·J. Petronilho	20
11	On some tridiagonal k-Toeplitz matrices: Algebraic and analytical aspects. Applications 2005 ·Journal of Computational and Applied Mathematics ·R. Álvarez-Nodarse, J. Petronilho, Niurka R. Quintero	20
12	On the Krall-type discrete polynomials 2004 ·Journal of Mathematical Analysis and Applications ·R. Álvarez-Nodarse, J. Petronilho	7
13	Explicit inverses of some tridiagonal matrices 2001 ·Linear Algebra and its Applications ·Carlos M. da Fonseca, J. Petronilho	114
14	Orthogonal polynomials and quadratic transformations. 1999 ·Portugaliae Mathematica ·Francisco Marcellán, J. Petronilho	12
15	Path polynomials of a circuit: a constructive approach 1998 ·Linear and Multilinear Algebra ·Carlos M. da Fonseca, J. Petronilho	4
16	Eigenproblems for tridiagonal 2-Toeplitz matrices and quadratic polynomial mappings 1997 ·Linear Algebra and its Applications ·Francisco Marcellán, J. Petronilho	29
17	Orthogonal polynomials and coherent pairs: the classical case 1995 ·Indagationes Mathematicae ·Francisco Marcellán, J. Petronilho	43
18	What is beyond coherent pairs of orthogonal polynomials? 1995 ·Journal of Computational and Applied Mathematics ·Francisco Marcellán, J. Petronilho, Teresa E. Pérez, Miguel A. Piñar	15
19	Classical orthogonal polynomials: A functional approach 1994 ·Acta Applicandae Mathematicae ·(unknown), Amílcar Branquinho, J. Petronilho	105
20	On the solution of some distributional differential equations: existence and characterizations of the classical moment functionals 1994 ·Integral Transforms and Special Functions ·Francisco Marcellán, J. Petronilho	22

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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