A. M. Mathai

9.5k total citations · 4 hit papers
187 papers, 6.3k citations indexed

About

A. M. Mathai is a scholar working on Statistics and Probability, Statistical and Nonlinear Physics and Applied Mathematics. According to data from OpenAlex, A. M. Mathai has authored 187 papers receiving a total of 6.3k indexed citations (citations by other indexed papers that have themselves been cited), including 56 papers in Statistics and Probability, 53 papers in Statistical and Nonlinear Physics and 42 papers in Applied Mathematics. Recurrent topics in A. M. Mathai's work include Statistical Mechanics and Entropy (44 papers), Fractional Differential Equations Solutions (32 papers) and Advanced Statistical Methods and Models (28 papers). A. M. Mathai is often cited by papers focused on Statistical Mechanics and Entropy (44 papers), Fractional Differential Equations Solutions (32 papers) and Advanced Statistical Methods and Models (28 papers). A. M. Mathai collaborates with scholars based in Canada, India and Austria. A. M. Mathai's co-authors include H. J. Haubold, R. K. Saxena, Rajendra K. Saxena, Ingram Olkin, Ole E. Barndorff–Nielsen, Serge B. Provost, Patrick L. Brockett, Ram K. Saxena, P. G. Moschopoulos and Pushpa N. Rathie and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of the American Statistical Association and Technometrics.

In The Last Decade

A. M. Mathai

169 papers receiving 5.7k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

The H-Function : Theory and Applications

2010 684 citations A. M. Mathai, H. J. Haubold et al. profile →
Mittag‐Leffler Functions and Their Applications

2011 646 citations H. J. Haubold, A. M. Mathai et al. profile →
The H-Function With Applications in Statistics and Other Disciplines.

1980 429 citations A. M. Mathai et al. profile →
The H-Function

2009 404 citations A. M. Mathai, H. J. Haubold et al. profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
A. M. Mathai Canada	29	2.0k	1.5k	1.4k	1.4k	995	187	6.3k
Bernt Øksendal Norway	43	1.2k 0.6×	1.1k 0.7×	1.2k 0.9×	629 0.5×	354 0.4×	151	10.7k
Carl Hammer United States	9	558 0.3×	1.7k 1.1×	1.1k 0.8×	484 0.4×	738 0.7×	63	7.8k
H. J. Haubold Austria	17	1.6k 0.8×	900 0.6×	902 0.7×	297 0.2×	465 0.5×	140	3.3k
F. W. J. Olver United States	26	482 0.2×	2.1k 1.5×	1.3k 0.9×	395 0.3×	800 0.8×	85	7.4k
Kenneth S. Miller United States	22	5.3k 2.7×	2.8k 1.9×	1.6k 1.2×	266 0.2×	496 0.5×	70	8.9k
Kendall Atkinson United States	35	1.7k 0.9×	1.5k 1.0×	392 0.3×	191 0.1×	957 1.0×	81	7.9k
Josef Stoer Germany	27	370 0.2×	755 0.5×	767 0.6×	269 0.2×	936 0.9×	77	9.0k
Peter E. Kloeden Germany	26	541 0.3×	386 0.3×	946 0.7×	423 0.3×	171 0.2×	64	6.0k
Walter Gautschi United States	34	625 0.3×	2.6k 1.8×	757 0.6×	228 0.2×	590 0.6×	214	6.4k
Roland Bulirsch Germany	24	397 0.2×	682 0.5×	841 0.6×	201 0.1×	960 1.0×	48	8.6k

Countries citing papers authored by A. M. Mathai

Since Specialization

Citations

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

Fields of papers citing papers by A. M. Mathai

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of A. M. Mathai

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

1.

Mathai, A. M.. (2024). Statistical Distribution Theory and Fractional Calculus. SHILAP Revista de lepidopterología. 7(4). 1259–1295.

2.

Mathai, A. M.. (2023). Some Matrix-Variate Models Applicable in Different Areas. Axioms. 12(10). 936–936.

3.

Mathai, A. M. & H. J. Haubold. (2017). Probability and Statistics. Directory of Open access Books (OAPEN Foundation). 14 indexed citations

4.

Mathai, A. M. & H. J. Haubold. (2017). Erdélyi-Kober fractional integral operators from a statistical perspective (I). Tbilisi Mathematical Journal. 10(1). 7 indexed citations

5.

Mathai, A. M., et al.. (2017). Analogues of reliability analysis for matrix-variate cases. Linear Algebra and its Applications. 532. 287–311. 3 indexed citations

6.

Mathai, A. M.. (2014). Fractional integral operators involving many matrix variables. Linear Algebra and its Applications. 446. 196–215. 12 indexed citations

7.

Mathai, A. M.. (2013). Fractional integral operators in the complex matrix variate case. Linear Algebra and its Applications. 439(10). 2901–2913. 10 indexed citations

8.

Haubold, H. J., et al.. (2012). An Entropic Pathway to Multivariate Gaussian Density. 2(1). 51–61. 2 indexed citations

9.

Mathai, A. M.. (2010). SOME PROPERTIES OF MITTAG-LEFFLER FUNCTIONS AND MATRIX-VARIATE ANALOGUES: A STATISTICAL PERSPECTIVE. Fractional Calculus and Applied Analysis. 13(2). 113–132. 20 indexed citations

10.

Haubold, H. J., A. M. Mathai, & R. K. Saxena. (2010). Further solutions of fractional reaction–diffusion equations in terms of theH-function. Journal of Computational and Applied Mathematics. 235(5). 1311–1316. 36 indexed citations

11.

Mathai, A. M. & H. J. Haubold. (2007). On entropic, distributional, and differential pathways. Bulletin of the Astronomical Society of India. 35. 669. 1 indexed citations

12.

Haubold, H. J., A. M. Mathai, & R. K. Saxena. (2007). Solutions of fractional reaction-diffusion equations in terms of the H-function. 35. 681–689. 6 indexed citations

13.

Mathai, A. M. & Serge B. Provost. (2004). On the distribution of order statistics from generalized logistic samples. METRON. 63–71. 4 indexed citations

14.

Mathai, A. M.. (2004). A pathway to matrix-variate gamma and normal densities. Linear Algebra and its Applications. 396. 317–328. 115 indexed citations

15.

Mathai, A. M.. (1993). On Noncentral Generalized Laplacianness of Quadratic Forms in Normal Variables. Journal of Multivariate Analysis. 45(2). 239–246. 28 indexed citations

16.

Mathai, A. M.. (1991). On fractional moments of quadratic expressions in normal variables ¹. Communication in Statistics- Theory and Methods. 20(10). 3159–3174. 4 indexed citations

17.

Mathai, A. M.. (1983). On linear combinations of independent exponential variables. Communication in Statistics- Theory and Methods. 12(6). 625–632. 13 indexed citations

18.

Mathai, A. M., et al.. (1980). Book-Review - Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences - Lecture Notes in Math. V.348. Astronomische Nachrichten. 301. 43. 9 indexed citations

19.

Mathai, A. M., et al.. (1973). An axiomatic foundation for a multivariate measure of affinity among a number of distributions. Journal of Multivariate Analysis. 3(2). 236–242. 3 indexed citations

20.

Mathai, A. M. & Pushpa N. Rathie. (1972). Enumeration of almost cubic maps. Journal of Combinatorial Theory Series B. 13(1). 83–90. 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.

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