Martin E. Muldoon

1.3k total citations
64 papers, 751 citations indexed

About

Martin E. Muldoon is a scholar working on Applied Mathematics, Numerical Analysis and Geometry and Topology. According to data from OpenAlex, Martin E. Muldoon has authored 64 papers receiving a total of 751 indexed citations (citations by other indexed papers that have themselves been cited), including 61 papers in Applied Mathematics, 15 papers in Numerical Analysis and 14 papers in Geometry and Topology. Recurrent topics in Martin E. Muldoon's work include Mathematical functions and polynomials (44 papers), Mathematical Inequalities and Applications (19 papers) and Iterative Methods for Nonlinear Equations (12 papers). Martin E. Muldoon is often cited by papers focused on Mathematical functions and polynomials (44 papers), Mathematical Inequalities and Applications (19 papers) and Iterative Methods for Nonlinear Equations (12 papers). Martin E. Muldoon collaborates with scholars based in Canada, United States and South Africa. Martin E. Muldoon's co-authors include Mourad E. H. Ismail, Lee Lorch, Andrea Laforgia, J. T. Lewis, Kathy Driver, Árpád Elbert, Renato Spigler, Abraham A. Ungar, Alessandra Laforgia and Simon P. Driver and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Europhysics Letters (EPL) and Transactions of the American Mathematical Society.

In The Last Decade

Martin E. Muldoon

61 papers receiving 617 citations

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author Last Decade Papers Cites
Martin E. Muldoon 646 151 142 138 95 64 751
Andrea Laforgia 616 1.0× 141 0.9× 174 1.2× 75 0.5× 82 0.9× 67 730
Attila Máté 490 0.8× 172 1.1× 94 0.7× 153 1.1× 131 1.4× 31 581
A A Gončar 457 0.7× 214 1.4× 127 0.9× 117 0.8× 88 0.9× 15 575
Dimitar K. Dimitrov 410 0.6× 126 0.8× 111 0.8× 100 0.7× 54 0.6× 63 494
Е. М. Никишин 501 0.8× 129 0.9× 50 0.4× 212 1.5× 217 2.3× 18 642
George Csordás 417 0.6× 90 0.6× 272 1.9× 130 0.9× 120 1.3× 65 694
G. Freud 462 0.7× 241 1.6× 68 0.5× 112 0.8× 60 0.6× 53 641
Zeinab S. I. Mansour 594 0.9× 111 0.7× 147 1.0× 45 0.3× 142 1.5× 36 722
E.K. Ifantis 287 0.4× 93 0.6× 74 0.5× 67 0.5× 108 1.1× 46 427
A. Sri Ranga 420 0.7× 127 0.8× 28 0.2× 133 1.0× 51 0.5× 66 450

Countries citing papers authored by Martin E. Muldoon

Since Specialization
Citations

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

Fields of papers citing papers by Martin E. Muldoon

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Martin E. Muldoon. 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 Martin E. Muldoon. The network helps show where Martin E. Muldoon may publish in the future.

Co-authorship network of co-authors of Martin E. Muldoon

This figure shows the co-authorship network connecting the top 25 collaborators of Martin E. Muldoon. A scholar is included among the top collaborators of Martin E. Muldoon 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 Martin E. Muldoon. Martin E. Muldoon 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.
Driver, Kathy & Martin E. Muldoon. (2019). Sharp parameter intervals for interlacing of zeros of equal degree Laguerre polynomials. Journal of Approximation Theory. 248. 105303–105303. 3 indexed citations
2.
Driver, Kathy & Martin E. Muldoon. (2016). A connection between ultraspherical and pseudo-ultraspherical polynomials. Journal of Mathematical Analysis and Applications. 439(1). 323–329. 1 indexed citations
3.
Driver, Kathy & Martin E. Muldoon. (2013). Common and interlacing zeros of families of Laguerre polynomials. Journal of Approximation Theory. 193. 89–98. 9 indexed citations
4.
Muldoon, Martin E.. (2008). Continuous ranking of zeros of special functions. Journal of Mathematical Analysis and Applications. 343(1). 436–445. 3 indexed citations
5.
Muldoon, Martin E.. (2005). Generalized hyperbolic functions, circulant matrices and functional equations. Linear Algebra and its Applications. 406. 272–284. 4 indexed citations
6.
Laforgia, Andrea, et al.. (2003). Árpád Elbert, 1939–2001: a memorial tribute. Journal of Computational and Applied Mathematics. 153(1-2). 1–8. 2 indexed citations
7.
Ronveaux, A. & Martin E. Muldoon. (1995). Stieltjes sums for zeros of orthogonal polynomials. Journal of Computational and Applied Mathematics. 57(1-2). 261–269. 2 indexed citations
8.
Muldoon, Martin E.. (1995). Electrostatics and zeros of Bessel functions. Journal of Computational and Applied Mathematics. 65(1-3). 299–308. 4 indexed citations
9.
Muldoon, Martin E., et al.. (1994). A Unimodal Property of Purely Imaginary Zeros of Bessel and Related Functions. Canadian Mathematical Bulletin. 37(3). 365–373. 7 indexed citations
10.
Došlá, Zuzana, et al.. (1993). Further higher monotonicity properties of Sturm-Liouville functions. Archivum Mathematicum. 29(1). 83–96.
11.
Muldoon, Martin E.. (1993). Properties of zeros of orthogonal polynomials and related functions. Journal of Computational and Applied Mathematics. 48(1-2). 167–186. 13 indexed citations
12.
Ismail, Mourad E. H. & Martin E. Muldoon. (1991). A Discrete Approach to Monotonicity of Zeros of Orthogonal Polynomials. Transactions of the American Mathematical Society. 323(1). 65–65. 13 indexed citations
13.
Ismail, Mourad E. H. & Martin E. Muldoon. (1991). A discrete approach to monotonicity of zeros of orthogonal polynomials. Transactions of the American Mathematical Society. 323(1). 65–78. 33 indexed citations
14.
Laforgia, Andrea, et al.. (1991). Higher monotonicity properties and inequalities for zeros of Bessel functions. Proceedings of the American Mathematical Society. 112(2). 513–520. 7 indexed citations
15.
Laforgia, Andrea & Martin E. Muldoon. (1984). Monotonicity and concavity properties of zeros of Bessel functions. Journal of Mathematical Analysis and Applications. 98(2). 470–477. 19 indexed citations
16.
Muldoon, Martin E.. (1982). On the zeros of a function related to Bessel functions. Archivum Mathematicum. 18(1). 23–34. 7 indexed citations
17.
Muldoon, Martin E., et al.. (1982). Some characterizations of q-factorial functions.. Aequationes Mathematicae. 25. 67–76. 7 indexed citations
18.
Muldoon, Martin E.. (1977). Higher monotonicity properties of certain Sturm-Liouville functions. V. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 77(1-2). 23–37. 7 indexed citations
19.
Lorch, Lee, et al.. (1972). Higher Monotonicity Properties of Certain Sturm-Liouville Functions. IV. Canadian Journal of Mathematics. 24(2). 349–368. 16 indexed citations
20.
Lorch, Lee, et al.. (1970). Higher Monotonicity Properties of Certain Sturm-Liouville Functions. III. Canadian Journal of Mathematics. 22(6). 1238–1265. 24 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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