T. M. Dunster

652 total citations
54 papers, 419 citations indexed

About

T. M. Dunster is a scholar working on Applied Mathematics, Numerical Analysis and Modeling and Simulation. According to data from OpenAlex, T. M. Dunster has authored 54 papers receiving a total of 419 indexed citations (citations by other indexed papers that have themselves been cited), including 44 papers in Applied Mathematics, 22 papers in Numerical Analysis and 14 papers in Modeling and Simulation. Recurrent topics in T. M. Dunster's work include Mathematical functions and polynomials (41 papers), Fractional Differential Equations Solutions (14 papers) and Electromagnetic Scattering and Analysis (11 papers). T. M. Dunster is often cited by papers focused on Mathematical functions and polynomials (41 papers), Fractional Differential Equations Solutions (14 papers) and Electromagnetic Scattering and Analysis (11 papers). T. M. Dunster collaborates with scholars based in United States, Spain and Netherlands. T. M. Dunster's co-authors include Javier Segura, Amparo Gil, W. G. C. Boyd, Donald A. Lutz, Reinhard Schäfke, R. B. Paris, Howard S. Cohl, Nico Μ. Τemme and Matthew J. Yedlin and has published in prestigious journals such as Computer Physics Communications, Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences and Journal of Computational and Applied Mathematics.

In The Last Decade

T. M. Dunster

48 papers receiving 366 citations

Peers

T. M. Dunster

AMPO

SNP

V. E. Shatalov Russia

Andrew Russell Forsyth

Anatol Odzijewicz Poland

Floyd L. Williams United States

В. И. Фущич Ukraine

Erik Koelink Netherlands

V. M. Adamyan Ukraine

V. V. Vedenyapin Russia

Hellmut Baumgärtel Germany

Shigeki Matsutani Japan

V. E. Shatalov Russia

T. M. Dunster

174 ×0.8

75 ×0.6

AMPO

64 ×0.8

SNP

71 ×0.9

197 ×2.6

Citations per year, relative to T. M. Dunster T. M. Dunster (= 1×) peers V. E. Shatalov

Countries citing papers authored by T. M. Dunster

Since Specialization

Citations

This map shows the geographic impact of T. M. Dunster'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 T. M. Dunster with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites T. M. Dunster more than expected).

Fields of papers citing papers by T. M. Dunster

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by T. M. Dunster. 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 T. M. Dunster. The network helps show where T. M. Dunster may publish in the future.

Co-authorship network of co-authors of T. M. Dunster

This figure shows the co-authorship network connecting the top 25 collaborators of T. M. Dunster. A scholar is included among the top collaborators of T. M. Dunster 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 T. M. Dunster. T. M. Dunster 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

Dunster, T. M.. (2025). Simplified uniform asymptotic expansions for associated Legendre and conical functions. Journal of Approximation Theory. 313. 106228–106228.

Dunster, T. M.. (2023). Uniform Asymptotic Expansions for Gegenbauer Polynomials and Related Functions via Differential Equations Having a Simple Pole. Constructive Approximation. 59(2). 419–456. 2 indexed citations

Dunster, T. M.. (2021). Nield--Kuznetsov Functions and Laplace Transforms of Parabolic Cylinder Functions. SIAM Journal on Mathematical Analysis. 53(5). 5915–5947. 12 indexed citations

Dunster, T. M.. (2019). Liouville-Green expansions of exponential form, with an application to modified Bessel functions. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 150(3). 1289–1311. 9 indexed citations

Cohl, Howard S., et al.. (2018). Fundamental Solutions and Gegenbauer Expansions of Helmholtz Operators in Riemannian Spaces of Constant Curvature. Symmetry Integrability and Geometry Methods and Applications. 14. 4 indexed citations

Dunster, T. M., Amparo Gil, & Javier Segura. (2018). Uniform asymptotic expansions for Laguerre polynomials and related confluent hypergeometric functions. Advances in Computational Mathematics. 44(5). 1441–1474. 4 indexed citations

Dunster, T. M.. (2016). On the Order Derivatives of Bessel Functions. Constructive Approximation. 46(1). 47–68. 7 indexed citations

Dunster, T. M., Amparo Gil, Javier Segura, & Nico Μ. Τemme. (2014). Computation of a numerically satisfactory pair of solutions of the differential equation for conical functions of non-negative integer orders. Numerical Algorithms. 68(3). 497–509. 1 indexed citations

Dunster, T. M.. (2010). Legendre and related functions.. 351–382. 11 indexed citations

10.

Dunster, T. M., et al.. (2006). RESONANCE AND THE LATE COEFFICIENTS IN THE SCATTERED FIELD OF A DIELECTRIC CIRCULAR CYLINDER. Analysis and Applications. 4(4). 311–333. 4 indexed citations

11.

Dunster, T. M.. (2005). Uniform asymptotic approximations for incomplete Riemann Zeta functions. Journal of Computational and Applied Mathematics. 190(1-2). 339–353. 1 indexed citations

12.

Dunster, T. M.. (2003). Uniform asymptotic expansions for associated Legendre functions of large order. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 133(4). 807–827. 3 indexed citations

13.

Dunster, T. M.. (2001). Uniform Asymptotic Expansions for Charlier Polynomials. Journal of Approximation Theory. 112(1). 93–133. 15 indexed citations

14.

Dunster, T. M.. (2001). Uniform Asymptotic Expansions for the Reverse Generalized Bessel Polynomials, and Related Functions. SIAM Journal on Mathematical Analysis. 32(5). 987–1013. 8 indexed citations

15.

Dunster, T. M.. (1998). Asymptotics of the eigenvalues of the rotating harmonic oscillator. Journal of Computational and Applied Mathematics. 93(1). 45–73. 6 indexed citations

16.

Dunster, T. M.. (1997). Error analysis in a uniform asymptotic expansion for the generalised exponential integral. Journal of Computational and Applied Mathematics. 80(1). 127–161. 6 indexed citations

17.

Dunster, T. M., Donald A. Lutz, & Reinhard Schäfke. (1993). Convergent Liouville–Green expansions for second-order linear differential equations, with an application to Bessel functions. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences. 440(1908). 37–54. 17 indexed citations

18.

Dunster, T. M.. (1992). Uniform asymptotic expansions for oblate spheroidal functions I: positive separation parameter λ. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 121(3-4). 303–320.

19.

Dunster, T. M. & Donald A. Lutz. (1991). Convergent Factorial Series Expansions for Bessel Functions. SIAM Journal on Mathematical Analysis. 22(4). 1156–1172. 5 indexed citations

20.

Boyd, W. G. C. & T. M. Dunster. (1986). Uniform Asymptotic Solutions of a Class of Second-Order Linear Differential Equations Having a Turning Point and a Regular Singularity, with an Application to Legendre Functions. SIAM Journal on Mathematical Analysis. 17(2). 422–450. 22 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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