H. L. Krall

942 total citations
8 papers, 171 citations indexed

About

H. L. Krall is a scholar working on Applied Mathematics, Numerical Analysis and Geometry and Topology. According to data from OpenAlex, H. L. Krall has authored 8 papers receiving a total of 171 indexed citations (citations by other indexed papers that have themselves been cited), including 4 papers in Applied Mathematics, 1 paper in Numerical Analysis and 1 paper in Geometry and Topology. Recurrent topics in H. L. Krall's work include Mathematical functions and polynomials (4 papers), Iterative Methods for Nonlinear Equations (1 paper) and Analytic and geometric function theory (1 paper). H. L. Krall is often cited by papers focused on Mathematical functions and polynomials (4 papers), Iterative Methods for Nonlinear Equations (1 paper) and Analytic and geometric function theory (1 paper). H. L. Krall collaborates with scholars based in United States, Netherlands and Germany. H. L. Krall's co-authors include I. M. Sheffer, Kevin McCrimmon, Eckford Cohen, Donald J. Newman and S. Chowla and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, American Mathematical Monthly and Pacific Journal of Mathematics.

In The Last Decade

H. L. Krall

7 papers receiving 123 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
H. L. Krall United States	5	128	55	48	44	30	8	171
I. M. Sheffer United States	6	131 1.0×	56 1.0×	46 1.0×	45 1.0×	29 1.0×	7	173
J. G. van der Corput United States	6	70 0.5×	11 0.2×	41 0.9×	14 0.3×	42 1.4×	20	191
Morris Marden United States	9	99 0.8×	20 0.4×	57 1.2×	12 0.3×	22 0.7×	31	209
L. A. Sakhnovich Israel	6	78 0.6×	103 1.9×	82 1.7×	55 1.3×	32 1.1×	11	232
J. Dombrowski United States	12	215 1.7×	42 0.8×	151 3.1×	35 0.8×	30 1.0×	19	300
И. М. Спитковский Ukraine	7	216 1.7×	26 0.5×	126 2.6×	18 0.4×	12 0.4×	21	290
Jacob S. Christiansen Denmark	8	120 0.9×	33 0.6×	38 0.8×	41 0.9×	17 0.6×	22	159
R. Mennicken Germany	8	153 1.2×	26 0.5×	160 3.3×	14 0.3×	28 0.9×	28	284
M. G. Gasymov Azerbaijan	6	108 0.8×	91 1.7×	150 3.1×	42 1.0×	13 0.4×	9	317
Lawrence M. Graves	5	49 0.4×	12 0.2×	32 0.7×	19 0.4×	11 0.4×	10	170

Countries citing papers authored by H. L. Krall

Since Specialization

Citations

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

Fields of papers citing papers by H. L. Krall

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of H. L. Krall

This figure shows the co-authorship network connecting the top 25 collaborators of H. L. Krall. A scholar is included among the top collaborators of H. L. Krall 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 H. L. Krall. H. L. Krall 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:

8 of 8 papers shown

1.

Krall, H. L. & I. M. Sheffer. (1969). Difference equations for some orthogonal polynomials. Pacific Journal of Mathematics. 28(2). 383–392. 21 indexed citations

2.

Krall, H. L. & I. M. Sheffer. (1967). Orthogonal polynomials in two variables. Annali di Matematica Pura ed Applicata (1923 -). 76(1). 325–376. 111 indexed citations

3.

Krall, H. L. & I. M. Sheffer. (1966). Differential equations of infinite order for orthogonal polynomials. Annali di Matematica Pura ed Applicata (1923 -). 74(1). 135–172. 17 indexed citations

4.

Krall, H. L. & I. M. Sheffer. (1965). On pairs of related orthogonal polynomial sets. Mathematische Zeitschrift. 86(5). 425–450. 7 indexed citations

5.

Krall, H. L. & I. M. Sheffer. (1964). A characterization of orthogonal polynomials. Journal of Mathematical Analysis and Applications. 8(2). 232–244. 9 indexed citations

6.

Krall, H. L.. (1960). Self-Adjoint Differential Expressions. American Mathematical Monthly. 67(9). 876–876. 4 indexed citations

7.

Newman, Donald J., et al.. (1960). Mathematical Notes. American Mathematical Monthly. 67(9). 865–884. 1 indexed citations

8.

Krall, H. L.. (1957). Polynomials with the Binomial Property. American Mathematical Monthly. 64(5). 342–342. 1 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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