J. Bustoz

674 total citations
28 papers, 430 citations indexed

About

J. Bustoz is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Algebra and Number Theory. According to data from OpenAlex, J. Bustoz has authored 28 papers receiving a total of 430 indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Applied Mathematics, 6 papers in Computational Theory and Mathematics and 5 papers in Algebra and Number Theory. Recurrent topics in J. Bustoz's work include Mathematical functions and polynomials (19 papers), Mathematical Inequalities and Applications (10 papers) and Advanced Mathematical Identities (4 papers). J. Bustoz is often cited by papers focused on Mathematical functions and polynomials (19 papers), Mathematical Inequalities and Applications (10 papers) and Advanced Mathematical Identities (4 papers). J. Bustoz collaborates with scholars based in United States, Portugal and South Korea. J. Bustoz's co-authors include Mourad E. H. Ismail, Sergeĭ K. Suslov, Luís Daniel Abreu, Alan Feldstein, Richard H. Goodman, M. H. Annaby, Seppo Linnainmaa, Jet Wimp and C. W. Groetsch and has published in prestigious journals such as Mathematics of Computation, Journal of the ACM and Journal of Mathematical Analysis and Applications.

In The Last Decade

J. Bustoz

25 papers receiving 364 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
J. Bustoz United States	9	335	115	79	71	64	28	430
Naum Krupnik Israel	10	350 1.0×	89 0.8×	50 0.6×	267 3.8×	124 1.9×	26	502
Attila Máté United States	15	490 1.5×	73 0.6×	94 1.2×	131 1.8×	153 2.4×	31	581
Wolfgang Gawronski Germany	12	175 0.5×	89 0.8×	39 0.5×	46 0.6×	21 0.3×	34	314
Martin E. Muldoon Canada	15	646 1.9×	92 0.8×	142 1.8×	95 1.3×	138 2.2×	64	751
Dimitar K. Dimitrov Brazil	14	410 1.2×	113 1.0×	111 1.4×	54 0.8×	100 1.6×	63	494
Yu‐Qiu Zhao China	11	200 0.6×	42 0.4×	35 0.4×	58 0.8×	50 0.8×	50	291
Е. М. Никишин Russia	7	501 1.5×	91 0.8×	50 0.6×	217 3.1×	212 3.3×	18	642
Torsten Ehrhardt Germany	11	212 0.6×	79 0.7×	36 0.5×	196 2.8×	118 1.8×	48	361
Zeinab S. I. Mansour Egypt	11	594 1.8×	112 1.0×	147 1.9×	142 2.0×	45 0.7×	36	722
Lisa Jacobsen Norway	9	148 0.4×	67 0.6×	57 0.7×	87 1.2×	44 0.7×	34	309

Countries citing papers authored by J. Bustoz

Since Specialization

Citations

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

Fields of papers citing papers by J. Bustoz

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of J. Bustoz

This figure shows the co-authorship network connecting the top 25 collaborators of J. Bustoz. A scholar is included among the top collaborators of J. Bustoz 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 J. Bustoz. J. Bustoz 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

Annaby, M. H., J. Bustoz, & Mourad E. H. Ismail. (2006). On sampling theory and basic Sturm–Liouville systems. Journal of Computational and Applied Mathematics. 206(1). 73–85. 10 indexed citations

Abreu, Luís Daniel, et al.. (2003). The roots of the third Jackson q‐Bessel function. International Journal of Mathematics and Mathematical Sciences. 2003(67). 4241–4248. 26 indexed citations

Bustoz, J., et al.. (2001). Determinant inequalities for sieved ultraspherical polynomials. International Journal of Mathematics and Mathematical Sciences. 25(11). 745–751. 2 indexed citations

Bustoz, J., et al.. (2001). Basic Analog of Fourier Series on a q-Linear Grid. Journal of Approximation Theory. 112(1). 134–157. 34 indexed citations

Bustoz, J., Mourad E. H. Ismail, & Sergeĭ K. Suslov. (2001). Special Functions 2000: Current Perspective and Future Directions. 66 indexed citations

Abreu, Luís Daniel & J. Bustoz. (2000). Turán Inequalities for Symmetric Askey-Wilson Polynomials. Rocky Mountain Journal of Mathematics. 30(2). 2 indexed citations

Bustoz, J. & Mourad E. H. Ismail. (1986). On Gamma Function Inequalities. Mathematics of Computation. 47(176). 659–659. 88 indexed citations

Bustoz, J. & Mourad E. H. Ismail. (1986). On gamma function inequalities. Mathematics of Computation. 47(176). 659–667. 63 indexed citations

Goodman, Richard H., Alan Feldstein, & J. Bustoz. (1985). Relative error in floating-point multiplication. Computing. 35(2). 127–139. 3 indexed citations

10.

Bustoz, J. & Mourad E. H. Ismail. (1983). Turán Inequalities for Ultraspherical and Continuous q-Ultraspherical Polynomials. SIAM Journal on Mathematical Analysis. 14(4). 807–818. 3 indexed citations

11.

Bustoz, J. & Mourad E. H. Ismail. (1982). The Associated Ultraspherical Polynomials and their _q-Analogues. Canadian Journal of Mathematics. 34(3). 718–736. 41 indexed citations

12.

Bustoz, J.. (1981). Two-parameter Turan inequalities for ultraspherical and Laguerre polynomials. Journal of Mathematical Analysis and Applications. 79(1). 71–79. 2 indexed citations

13.

Feldstein, Alan, Richard H. Goodman, & J. Bustoz. (1981). Conjecture on a Finite and an Infinite Product (A. Feldstein and R. Goodman). SIAM Review. 23(1). 104–105.

14.

Bustoz, J., et al.. (1980). Inequalities for Ultraspherical and Laguerre Polynomials. II. SIAM Journal on Mathematical Analysis. 11(5). 876–884. 4 indexed citations

15.

Bustoz, J., et al.. (1979). Inequalities for Ultraspherical and Laguerre Polynomials. SIAM Journal on Mathematical Analysis. 10(5). 902–912. 6 indexed citations

16.

Bustoz, J.. (1974). Note on "Positive Cesaro Means of Numerical Series". Proceedings of the American Mathematical Society. 45(1). 69–69. 1 indexed citations

17.

Bustoz, J., et al.. (1972). On Gronwall summability. Mathematische Zeitschrift. 125(2). 177–183. 1 indexed citations

18.

Bustoz, J.. (1970). On regular matrices that induce the Gibbs phenomenon. Proceedings of the American Mathematical Society. 25(3). 481–481. 2 indexed citations

19.

Bustoz, J., et al.. (1969). On sequential cores and a theorem of R. R. Phelps. Proceedings of the American Mathematical Society. 21(1). 36–42. 6 indexed citations

20.

Bustoz, J.. (1968). Gibbs sets and the generalized gibbs phenomenon. University Microfilms eBooks. 2 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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