Lee Lorch

979 total citations
65 papers, 653 citations indexed

About

Lee Lorch is a scholar working on Applied Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Lee Lorch has authored 65 papers receiving a total of 653 indexed citations (citations by other indexed papers that have themselves been cited), including 47 papers in Applied Mathematics, 22 papers in Mathematical Physics and 14 papers in Geometry and Topology. Recurrent topics in Lee Lorch's work include Mathematical functions and polynomials (30 papers), Differential Equations and Boundary Problems (20 papers) and Mathematical Inequalities and Applications (17 papers). Lee Lorch is often cited by papers focused on Mathematical functions and polynomials (30 papers), Differential Equations and Boundary Problems (20 papers) and Mathematical Inequalities and Applications (17 papers). Lee Lorch collaborates with scholars based in Canada, United States and Japan. Lee Lorch's co-authors include Martin E. Muldoon, Mourad E. H. Ismail, Donald J. Newman, D. Leviatan, Leo Moser, Andrea Laforgia, Árpád Elbert, D. A. L. Paul, L. E. H. Trainor and E. Fawcett and has published in prestigious journals such as Nature, Science and Communications on Pure and Applied Mathematics.

In The Last Decade

Lee Lorch

61 papers receiving 505 citations

Author Peers

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

Author						Papers	Cites
Lee Lorch	453	112	106	91	79	65	653
Deborah Tepper Haimo	411 0.9×	243 2.2×	120 1.1×	125 1.4×	39 0.5×	41	749
R. G. Buschman	354 0.8×	73 0.7×	128 1.2×	71 0.8×	47 0.6×	42	649
Francesco G. Tricomi	188 0.4×	85 0.8×	79 0.7×	79 0.9×	56 0.7×	23	569
Andrea Laforgia	616 1.4×	82 0.7×	141 1.3×	75 0.8×	32 0.4×	67	730
E. B. Saff	499 1.1×	88 0.8×	294 2.8×	150 1.6×	71 0.9×	58	782
Z. Ciesielski	399 0.9×	327 2.9×	107 1.0×	96 1.1×	100 1.3×	37	793
Haakon Waadeland	384 0.8×	180 1.6×	157 1.5×	139 1.5×	25 0.3×	44	652
E. R. Love	245 0.5×	88 0.8×	88 0.8×	42 0.5×	39 0.5×	50	443
J. D. Weston	256 0.6×	172 1.5×	81 0.8×	180 2.0×	30 0.4×	33	635
P. J. Bushell	221 0.5×	71 0.6×	90 0.8×	90 1.0×	20 0.3×	21	393

Countries citing papers authored by Lee Lorch

Since Specialization

Citations

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

Fields of papers citing papers by Lee Lorch

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Lee Lorch

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Lorch, Lee, et al.. (1996). “Best possible” upper bounds for the first positive zeros of Bessel functions — the finite part. Journal of Computational and Applied Mathematics. 75(2). 249–258. 10 indexed citations

Lorch, Lee. (1995). The zeros of the third derivative of Bessel functions of order less than one. Methods and Applications of Analysis. 2(2). 147–159. 4 indexed citations

Lorch, Lee. (1994). Monotonicity of the zeros of a cross product of Bessel functions. Methods and Applications of Analysis. 1(1). 75–80. 22 indexed citations

Elbert, Árpád, Andrea Laforgia, & Lee Lorch. (1991). Additional monotonicity properties of the zeros of Bessel functions. Analysis. 11(4). 3 indexed citations

Lorch, Lee. (1990). Monotonicity in terms of order of the zeros of the derivatives of Bessel functions. Proceedings of the American Mathematical Society. 108(2). 387–389. 4 indexed citations

Lorch, Lee. (1990). Monotonicity in Terms of Order of the Zeros of the Derivatives of Bessel Functions. Proceedings of the American Mathematical Society. 108(2). 387–387. 1 indexed citations

Lorch, Lee, et al.. (1987). Closed expressions for some infinite series of Bessel and Struve functions. Journal of Mathematical Analysis and Applications. 122(1). 47–57. 7 indexed citations

Ismail, Mourad E. H., Lee Lorch, & Martin E. Muldoon. (1986). Completely monotonic functions associated with the gamma function and its q-analogues. Journal of Mathematical Analysis and Applications. 116(1). 1–9. 81 indexed citations

Lorch, Lee. (1984). Inequalities for ultraspherical polynomials and the gamma function. Journal of Approximation Theory. 40(2). 115–120. 38 indexed citations

10.

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

11.

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

12.

Leviatan, D. & Lee Lorch. (1970). The Gibbs phenomenon and Lebesgue constants for regular [J,f(x)] means. Acta Mathematica Academiae Scientiarum Hungaricae. 21(1-2). 65–85. 1 indexed citations

13.

Lorch, Lee. (1967). Inequalities for some Whittaker functions. Archivum Mathematicum. 3(1). 1–9. 11 indexed citations

14.

Lorch, Lee, et al.. (1966). A Bessel Function Inequality Connected with Stability of Least Square Smoothing. Proceedings of the American Mathematical Society. 17(2). 330–330. 2 indexed citations

15.

Lorch, Lee & Donald J. Newman. (1965). A Supplement to the Sturm Separation Theorem, with Applications. American Mathematical Monthly. 72(4). 359–366. 4 indexed citations

16.

Lorch, Lee & Donald J. Newman. (1965). A Supplement to the Sturm Separation Theorem, with Applications. American Mathematical Monthly. 72(4). 359–359. 6 indexed citations

17.

Lorch, Lee, et al.. (1964). Monotonicity of the Differences of Zeros of Bessel Functions as a Function of Order. Proceedings of the American Mathematical Society. 15(1). 91–91. 2 indexed citations

18.

Lorch, Lee, et al.. (1963). Higher monotonicity properties of certain Sturm-Liouville functions. Acta Mathematica. 109(0). 55–73. 45 indexed citations

19.

Lorch, Lee & Donald J. Newman. (1962). On the [F, d_n] summation of Fourier series. Communications on Pure and Applied Mathematics. 15(2). 109–118. 4 indexed citations

20.

Lorch, Lee. (1959). The Lebesgue Constants for Jacobi Series, I. Proceedings of the American Mathematical Society. 10(5). 756–756. 7 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.

Explore authors with similar magnitude of impact