C. L. Frenzen

560 total citations
24 papers, 369 citations indexed

About

C. L. Frenzen is a scholar working on Atomic and Molecular Physics, and Optics, Applied Mathematics and Electrical and Electronic Engineering. According to data from OpenAlex, C. L. Frenzen has authored 24 papers receiving a total of 369 indexed citations (citations by other indexed papers that have themselves been cited), including 6 papers in Atomic and Molecular Physics, and Optics, 6 papers in Applied Mathematics and 6 papers in Electrical and Electronic Engineering. Recurrent topics in C. L. Frenzen's work include Mathematical functions and polynomials (6 papers), Numerical Methods and Algorithms (4 papers) and Semiconductor materials and interfaces (3 papers). C. L. Frenzen is often cited by papers focused on Mathematical functions and polynomials (6 papers), Numerical Methods and Algorithms (4 papers) and Semiconductor materials and interfaces (3 papers). C. L. Frenzen collaborates with scholars based in United States, Canada and Japan. C. L. Frenzen's co-authors include R. Wong, J. D. Murray, Philip K. Maini, Roderick Wong, Jon T. Butler, Tsutomu Sasao, N. M. Haegel, J. Kevorkian, James H. Luscombe and Scott Williams and has published in prestigious journals such as Journal of Applied Physics, Mathematics of Computation and International Journal of Solids and Structures.

In The Last Decade

C. L. Frenzen

24 papers receiving 314 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
C. L. Frenzen United States 12 126 82 67 46 45 24 369
Wen Yang China 14 157 1.2× 184 2.2× 53 0.8× 30 0.7× 87 1.9× 66 574
Shuguan Ji China 13 53 0.4× 52 0.6× 18 0.3× 11 0.2× 65 1.4× 54 454
Muhammad Shoaib Saleem Pakistan 13 204 1.6× 106 1.3× 62 0.9× 198 4.3× 76 1.7× 76 652
S.-N. Chow United States 11 87 0.7× 17 0.2× 21 0.3× 20 0.4× 127 2.8× 18 638
István Mező China 14 159 1.3× 17 0.2× 35 0.5× 12 0.3× 36 0.8× 48 579
Andreas Unterreiter Germany 13 498 4.0× 55 0.7× 40 0.6× 177 3.8× 224 5.0× 32 881
Daniel Grieser Germany 13 163 1.3× 57 0.7× 41 0.6× 6 0.1× 171 3.8× 40 453
Zhixiang Yin China 11 24 0.2× 136 1.7× 30 0.4× 158 3.4× 15 0.3× 32 532
S. Martin Germany 9 28 0.2× 42 0.5× 13 0.2× 58 1.3× 23 0.5× 15 427
Klemens Fellner Austria 13 194 1.5× 15 0.2× 24 0.4× 322 7.0× 161 3.6× 38 613

Countries citing papers authored by C. L. Frenzen

Since Specialization
Citations

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

Fields of papers citing papers by C. L. Frenzen

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by C. L. Frenzen. 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 C. L. Frenzen. The network helps show where C. L. Frenzen may publish in the future.

Co-authorship network of co-authors of C. L. Frenzen

This figure shows the co-authorship network connecting the top 25 collaborators of C. L. Frenzen. A scholar is included among the top collaborators of C. L. Frenzen 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 C. L. Frenzen. C. L. Frenzen 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.
Phillips, David, et al.. (2012). Three-dimensional transport imaging for the spatially resolved determination of carrier diffusion length in bulk materials. Review of Scientific Instruments. 83(4). 43702–43702. 8 indexed citations
2.
Butler, Jon T., et al.. (2011). A fast segmentation algorithm for piecewise polynomial numeric function generators. Journal of Computational and Applied Mathematics. 235(14). 4076–4082. 5 indexed citations
3.
Haegel, N. M., et al.. (2010). Minority carrier lifetime variations associated with misfit dislocation networks in heteroepitaxial GaInP. Semiconductor Science and Technology. 25(5). 55017–55017. 13 indexed citations
4.
Frenzen, C. L., Tsutomu Sasao, & Jon T. Butler. (2010). On the number of segments needed in a piecewise linear approximation. Journal of Computational and Applied Mathematics. 234(2). 437–446. 28 indexed citations
5.
Haegel, N. M., et al.. (2009). Direct imaging of anisotropic minority-carrier diffusion in ordered GaInP. Journal of Applied Physics. 105(2). 34 indexed citations
6.
Frenzen, C. L.. (1997). Proof Without Words: Sums of Consecutive Positive Integers. Mathematics Magazine. 70(4). 294–294. 1 indexed citations
7.
Frenzen, C. L.. (1995). A New Elementary Proof of Stirling's Formula. Mathematics Magazine. 68(1). 55–58. 1 indexed citations
8.
Frenzen, C. L.. (1995). A New Elementary Proof of Stirling's Formula. Mathematics Magazine. 68(1). 55–55. 4 indexed citations
9.
Danielson, D. A., et al.. (1993). Buckling of stiffened plates under axial compression and lateral pressure. International Journal of Solids and Structures. 30(4). 545–551. 15 indexed citations
10.
Frenzen, C. L., et al.. (1993). On a Conjecture of Pierce for Permanents of Singular Correlation Matrices. SIAM Journal on Matrix Analysis and Applications. 14(1). 74–81. 1 indexed citations
11.
Frenzen, C. L.. (1990). Error Bounds for a Uniform Asymptotic Expansion of the Legendre Function $Q_n^{ - m} (\cosh z)$. SIAM Journal on Mathematical Analysis. 21(2). 523–535. 5 indexed citations
12.
Frenzen, C. L. & Philip K. Maini. (1988). Enzyme kinetics for a two-step enzymic reaction with comparable initial enzyme-substrate ratios. Journal of Mathematical Biology. 26(6). 689–703. 26 indexed citations
13.
Frenzen, C. L. & R. Wong. (1988). Uniform Asymptotic Expansions of Laguerre Polynomials. SIAM Journal on Mathematical Analysis. 19(5). 1232–1248. 43 indexed citations
14.
Frenzen, C. L.. (1987). On the Asymptotic Expansion of Mellin Transforms. SIAM Journal on Mathematical Analysis. 18(1). 273–282. 3 indexed citations
15.
Frenzen, C. L. & Roderick Wong. (1986). Asymptotic expansions of the Lebesgue constants for Jacobi series. Pacific Journal of Mathematics. 122(2). 391–415. 24 indexed citations
16.
Frenzen, C. L.. (1986). A note on an error estimate for least squares approximation. BIT Numerical Mathematics. 26(3). 388–391. 1 indexed citations
17.
Frenzen, C. L. & J. D. Murray. (1986). A Cell Kinetics Justification for Gompertz’ Equation. SIAM Journal on Applied Mathematics. 46(4). 614–629. 33 indexed citations
18.
Frenzen, C. L. & R. Wong. (1985). A Uniform Asymptotic Expansion of the Jacobi Polynomials with Error Bounds. Canadian Journal of Mathematics. 37(5). 979–1007. 44 indexed citations
19.
Frenzen, C. L. & J. Kevorkian. (1985). A review of the multiple scale and reductive perturbation methods for deriving uncoupled nonlinear evolution equations. Wave Motion. 7(1). 25–42. 16 indexed citations
20.
Frenzen, C. L. & R. Wong. (1985). A note on asymptotic evaluation of some Hankel transforms. Mathematics of Computation. 45(172). 537–548. 9 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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