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Mathai, Arakaparampli Mathai

Author ID: mathai.arak-mathai Recent zbMATH articles by "Mathai, Arakaparampli Mathai"
Published as: Mathai, A. M.; Mathai, Arak M.; Mathai, Arakaparampil M.; Mathai, Arak Mathai; Mathai, A.
Homepage: http://www.math.mcgill.ca/mathai/
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 231 Publications since 1965, including 20 Books and 17 Additional arXiv Preprints
15 Contributions as Editor
Reviewing Activity: 114 Reviews
Biographic References: 3 Publications
Co-Authors: 38 Co-Authors with 148 Joint Publications
641 Co-Co-Authors
all top 5

Serials

15 Publication. Centre for Mathematical Sciences, Trivandrum
11 Astrophysics and Space Science
11 Annals of the Institute of Statistical Mathematics
10 Linear Algebra and its Applications
7 Metron
7 International Journal of Mathematical and Statistical Sciences
6 Sankhyā. Series A. Methods and Techniques
6 Statistica
6 Communications in Statistics. Theory and Methods
6 Journal of Ramanujan Society of Mathematics and Mathematical Sciences
5 The Canadian Journal of Statistics
4 Journal of Mathematical Physics
4 Metrika
4 Journal of Multivariate Analysis
4 Proceedings of the National Academy of Sciences, India. Section A
4 Fractional Calculus & Applied Analysis
3 Indian Journal of Pure & Applied Mathematics
3 Mathematische Nachrichten
3 Sankhyā. Series B. Methodological
3 Trabajos de Estadistica y de Investigacion Operativa
3 Annals of Mathematical Statistics
3 Axioms
2 Earth, Moon, and Planets
2 Applied Mathematics and Computation
2 Journal of Combinatorial Theory. Series B
2 The Journal of the Indian Mathematical Society. New Series
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Studies in Applied Mathematics
2 American Journal of Mathematical and Management Sciences
2 Gaṇita Sandesh
2 Integral Transforms and Special Functions
2 South East Asian Journal of Mathematics and Mathematical Sciences
2 International Journal of Scientific Research (IJSR)
2 Statistical Methods
2 Journal of the Indian Statistical Association
1 Advances in Applied Probability
1 Astronomische Nachrichten
1 Mathematical Biosciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physica A
1 Physics Letters. A
1 Acta Mexicana de Ciencia y Tecnologia
1 The Annals of Probability
1 Biometrics
1 Biometrika
1 Canadian Mathematical Bulletin
1 Journal of Combinatorics, Information & System Sciences
1 Journal of Computational and Applied Mathematics
1 Kyungpook Mathematical Journal
1 The Mathematics Student
1 Publications de l’Institut de Statistique de l’Université de Paris
1 Revista. Serie A. Matematica y Fisica Teorica
1 The Journal of the Indian Academy of Mathematics
1 Journal of National Academy of Mathematics, India
1 Optimization
1 Bulletin de la Classe des Sciences. 5e Série
1 Journal of Statistical Computation and Simulation
1 Stochastic Processes and their Applications
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Zapiski Nauchnykh Seminarov POMI
1 Journal of Mathematical Sciences (New York)
1 Journal of Applied Statistical Science
1 Analysis (München)
1 Communications in Nonlinear Science and Numerical Simulation
1 Advances and Applications in Statistics
1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
1 Journal of Applied Mathematics
1 Entropy
1 Bulletin de l’Institut International de Statistique
1 Skandinavisk Aktuarietidskrift
1 Lecture Notes in Mathematics
1 Lecture Notes in Statistics
1 Statistics: Textbooks and Monographs
1 International Journal of Mathematical Analysis (Ruse)
1 Journal of Statistical Theory and Practice
1 Tbilisi Mathematical Journal
1 Journal of the Italian Statistical Society
1 Sankhyā. Series A
1 Mathematica Æterna
1 Journal of Fractional Calculus and Applications
1 SpringerBriefs in Mathematical Physics
1 Cogent Mathematics
1 Springer Optimization and Its Applications
1 De Gruyter Textbook
1 American Sciences Press Series in Mathematical and Management Sciences

Publications by Year

Citations contained in zbMATH Open

140 Publications have been cited 2,426 times in 1,746 Documents Cited by Year
Mittag-Leffler functions and their applications. Zbl 1218.33021
Haubold, H. J.; Mathai, A. M.; Saxena, R. K.
291
2011
The H-function with applications in statistics and other disciplines. Zbl 0382.33001
Mathai, A. M.; Saxena, R. K.
231
1978
Quadratic forms in random variables. Theory and applications. Zbl 0792.62045
Mathai, A. M.; Provost, Serge B.
183
1992
Special functions for applied scientists. Zbl 1151.33001
Mathai, A. M.; Haubold, Hans J.
175
2008
The \(H\)-function. Theory and applications. Zbl 1181.33001
Mathai, A. M.; Saxena, Ram Kishore; Haubold, Hans J.
167
2010
Generalized hypergeometric functions with applications in statistics and physical sciences. Zbl 0272.33001
Mathai, A. M.; Saxena, R. K.
136
1973
A handbook of generalized special functions for statistical and physical sciences. Zbl 0770.33001
Mathai, A. M.
117
1993
Solutions of the fractional reaction equation and the fractional diffusion equation. Zbl 1223.85008
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
90
2010
Jacobians of matrix transformations and functions of matrix argument. Zbl 0889.33001
Mathai, A. M.
84
1997
A pathway to matrix-variate gamma and normal densities. Zbl 1084.62044
Mathai, A. M.
66
2005
The fractional kinetic equation and thermonuclear functions. Zbl 1034.82048
Haubold, H. J.; Mathai, A. M.
60
2000
Basic concepts in information theory and statistics. Axiomatic foundations and applications. Zbl 0346.94014
Mathai, A. M.; Rathie, P. N.
43
1975
Storage capacity of a dam with gamma type inputs. Zbl 0505.60099
Mathai, A. M.
38
1982
Bilinear forms and zonal polynomials. Zbl 0832.62044
Mathai, Arak M.; Provost, Serge B.; Hayakawa, Takesi
35
1995
Fractional reaction-diffusion equations. Zbl 1105.35307
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
32
2006
On a multivariate gamma. Zbl 0739.62039
Mathai, A. M.; Moschopoulos, P. G.
31
1991
Solution of generalized fractional reaction-diffusion equations. Zbl 1105.35309
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
29
2006
An introduction to geometrical probability. Distributional aspects with applications. Zbl 0968.60001
Mathai, A. M.
28
1999
Reaction-diffusion systems and nonlinear waves. Zbl 1105.35308
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
27
2006
A form of multivariate gamma distribution. Zbl 0760.62049
Mathai, A. M.; Moschopoulos, P. G.
21
1992
Solutions of certain fractional kinetic equations and a fractional diffusion equation. Zbl 1314.35065
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
21
2010
On generalized distributions and pathways. Zbl 1220.62167
Mathai, A. M.; Haubold, H. J.
20
2008
Further solutions of fractional reaction-diffusion equations in terms of the \(H\)-function. Zbl 1206.35245
Haubold, H. J.; Mathai, A. M.; Saxena, R. K.
20
2011
Some properties of Mittag-Leffler functions and matrix-variate analogues: a statistical perspective. Zbl 1211.26007
Mathai, A. M.
17
2010
On noncentral generalized Laplacianness of quadratic forms in normal variables. Zbl 0783.62041
Mathai, A. M.
17
1993
A certain class of Laplace transforms with applications to reaction and reaction-diffusion equations. Zbl 1105.35301
Mathai, A. M.; Saxena, R. K.; Haubold, H. J.
16
2006
The exact distribution of Wilk’s criterion. Zbl 0216.21805
Mathai, A. M.; Rathie, P. N.
16
1971
On a conjecture in geometric probability regarding asymptotic normality of a random simplex. Zbl 0479.60021
Mathai, A. M.
15
1982
Fractional and multivariable calculus. Model building and optimization problems. Zbl 1376.26001
Mathai, A. M.; Haubold, H. J.
14
2017
Random \(p\)-content of a \(p\)-parallelotope in Euclidean \(n\)-space. Zbl 0944.60014
Mathai, A. M.
12
1999
On a generalized hypergeomet ic distribution. Zbl 0156.40401
Mathai, A. M.; Saxena, R. K.
11
1966
On the distribution of the likelihood ratio criterion for testing linear hypotheses on regression coefficients. Zbl 0256.62062
Mathai, A. M.
10
1971
Exact percentage points for testing independence. Zbl 0407.62031
Mathai, A. M.; Katiyar, R. S.
10
1979
Solutions of fractional reaction-diffusion equations in terms of Mittag-Leffler functions. Zbl 1153.34304
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
10
2006
Boltzmann-Gibbs entropy versus Tsallis entropy: recent contributions to resolving the argument of Einstein concerning “neither Herr Boltzmann nor Herr Planck has given a definition of \(W\)”? Essay review. Zbl 1115.82300
Haubold, H. J.; Mathai, A. M.; Saxena, R. K.
9
2004
Distribution of a product and the structural set up of densities. Zbl 0186.53003
Mathai, A. M.; Saxena, R. K.
9
1969
Erdélyi-Kober fractional calculus. From a statistical perspective, inspired by solar neutrino physics. Zbl 1412.81007
Mathai, A. M.; Haubold, H. J.
9
2018
Further results on the trace of a noncentral Wishart matrix. Zbl 0521.62042
Mathai, A. M.; Pillai, K. C. S.
8
1982
A pathway from Bayesian statistical analysis to superstatistics. Zbl 1271.62047
Mathai, A. M.; Haubold, H. J.
8
2011
Extensions of Wilks’ integral equations and distributions of test statistics. Zbl 0559.62039
Mathai, A. M.
8
1984
Some complex matrix-variate statistical distributions on rectangular matrices. Zbl 1122.62040
Mathai, A. M.; Provost, Serge B.
8
2005
Characterizations of the normal probability law. Zbl 0388.60001
Mathai, A. M.; Pederzoli, G.
8
1977
The residual effect of a growth-decay mechanism and the distributions of covariance structures. Zbl 0785.62055
Mathai, A. M.
8
1993
Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative. Zbl 1515.35324
Saxena, Ram K.; Mathai, Arak M.; Haubold, Hans J.
8
2014
Erdélyi-Kober fractional integral operators from a statistical perspective. I. Zbl 1360.45011
Mathai, A. M.; Haubold, H. J.
8
2017
Mittag-Leffler functions to pathway model to Tsallis statistics. Zbl 1209.33010
Mathai, A. M.; Haubold, Hans J.
8
2010
Fractional integral operators involving many matrix variables. Zbl 1286.45010
Mathai, A. M.
8
2014
Gravitational instability in a multicomponent cosmological medium. Zbl 0655.76102
Mathai, A. M.; Haubold, H. J.; Mücket, J. P.; Gottlöber, S.; Müller, V.
7
1988
A few remarks about some recent articles on the exact distributions of multivariate test criteria. I. Zbl 0334.62019
Mathai, A. M.
7
1973
The exact non-central distribution of the generalized variance. Zbl 0312.62045
Mathai, A. M.
7
1972
On the non-null distributions of test statistics connected with exponential populations. Zbl 0442.62017
Mathai, A. M.
7
1979
Moments of the trace of a noncentral Wishart matrix. Zbl 0462.62038
Mathai, A. M.
7
1980
Distribution of the canonical correlation matrix. Zbl 0471.62053
Mathai, A. M.
6
1981
The exact distribution of Votaw’s criteria. Zbl 0218.62054
Mathai, A. M.; Rathie, P. N.
6
1970
On a generalized entropy measure leading to the pathway model with a preliminary application to solar neutrino data. Zbl 1391.94587
Mathai, Arak M.; Haubold, Hans J.
6
2013
Fractional operators in the matrix variate case. Zbl 1488.26020
Mathai, A.; Haubold, Hans
6
2013
The exact distributions of three multivariate statistics associated with Wilks’ concept of generalized variance. Zbl 0246.62067
Mathai, A. M.
5
1972
A review of the different techniques used for deriving the exact distributions of multivariate test criteria. Zbl 0275.62045
Mathai, A. M.
5
1973
Structure of regular semigroups. II: Cross-connections. Ed. by A. M. Mathai. Zbl 0707.20019
Nambooripad, K. S. S.
5
1989
Distributed order reaction-diffusion systems associated with Caputo derivatives. Zbl 1304.35751
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
5
2014
Fractional integral operators in the complex matrix variate case. Zbl 1283.45008
Mathai, A. M.
5
2013
Random volumes under a general matrix-variate model. Zbl 1162.15016
Mathai, A. M.
4
2007
Fractional integrals in the matrix-variate cases and connection to statistical distributions. Zbl 1195.26016
Mathai, A. M.
4
2009
Some results on functions of matrix argument. Zbl 0319.33001
Mathai, A. M.
4
1978
Solar nuclear energy generation and the chlorine solar neutrino experiment. Preprints. Zbl 0925.85001
Haubold, H. J.; Mathai, A. M.
4
1994
Computational aspects of the gravitational instability problem for a multicomponent cosmological medium. Zbl 0809.70008
Haubold, H. J.; Mathai, A. M.
4
1994
Computational solutions of distributed order reaction-diffusion systems associated with Riemann-Liouville derivatives. Zbl 1318.26018
Saxena, Ram K.; Mathai, Arak M.; Haubold, Hans J.
4
2015
Multivariate and matrix-variate analogues of Maxwell-Boltzmann and Raleigh densities. Zbl 1400.62034
Mathai, A. M.; Princy, T.
4
2017
Random points associated with rectangles. Zbl 0949.60028
Mathai, A. M.; Moschopoulos, P.; Pederzoli, G.
3
1999
A short table of the generalized hypergeometric distribution. Zbl 0165.21903
Mathai, A. M.; Saxena, R. K.
3
1968
Dispersion and information. Zbl 0167.47602
Mathai, A. M.
3
1967
An expansion of Meijer’s G-function in the logarithmic case with applications. Zbl 0193.17901
Mathai, A. M.
3
1971
The exact distribution of Wilks’ generalized variance in the noncentral linear case. Zbl 0222.62022
Mathai, A. M.; Rathie, P. N.
3
1971
On the linear combinations of stochastic variables. Zbl 0268.60023
Mathai, A. M.; Saxena, R. K.
3
1973
An axiomatic foundation for a multivariate measure of affinity among a number of distributions. Zbl 0275.62019
Kaufman, H.; Mathai, A. M.
3
1973
Constructing the sunflower head. Zbl 0279.92008
Mathai, A. M.; Davis, T. Anthony
3
1974
On linear functions of certain noncentral versions of independent gamma variables. Zbl 0746.62011
Mathai, A. M.
3
1992
Appell’s and Humbert’s functions of matrix arguments. Zbl 0769.33011
Mathai, A. M.
3
1993
Astrophysical thermonuclear functions. Zbl 1125.85316
Anderson, W. J.; Haubold, H. J.; Mathai, A. M.
3
1994
Matrix-variate statistical distributions and fractional calculus. Zbl 1273.15041
Mathai, A. M.; Haubold, H. J.
3
2011
Generalized Krätzel integral and associated statistical densities. Zbl 1256.33010
Mathai, A. M.
3
2012
The exact non-null distribution for testing equality of covariance matrices. Zbl 0487.62044
Mathai, A. M.; Rathie, P. N.
2
1980
On a random convex hull in an n-ball. Zbl 0553.60018
Mathai, A. M.; Tracy, D. S.
2
1983
On thermonuclear reaction rates. Zbl 1026.85003
Haubold, H. J.; Mathai, A. M.
2
1998
A multivariate inverted beta model. Zbl 0895.62055
Mathai, A. M.; Moschopoulos, P. G.
2
1997
On a matrix-variate generalized type-2 Dirichlet density. Zbl 1282.62033
Thomas, Seemon; Thannippara, Alex; Mathai, A. M.
2
2008
Enumeration of almost cubic maps. Zbl 0224.05102
Mathai, A. M.; Rathie, P. N.
2
1972
The exact distribution of Bartlett’s criterion for testing equality of covariance matrices. Zbl 0231.62073
Mathai, A. M.
2
1970
The exact distribution of a criterion for testing the hypothesis that the covariance matrix is diagonal. Zbl 0238.62063
Mathai, A. M.
2
1972
Products and ratios of generalized gamma variates. Zbl 0256.62014
Mathai, A. M.
2
1973
The exact distribution of the likelihood ratio criterion for testing the equality of diagonal elements given that the covariance matrix is diagonal. Zbl 0271.62059
Mathai, A. M.
2
1972
Various practical problems in probability and statistics where Lauricella’s confluent hypergeometric function appears naturally. Zbl 0717.62046
Mathai, A. M.; Saxena, R. K.
2
1987
Some properties of matrix-variate Laplace transforms and matrix-variate Whittaker functions. Zbl 0865.44001
Mathai, A. M.; Pederzoli, Giorgio
2
1997
A Whittaker function of matrix argument. Zbl 0886.15025
Mathai, A. M.; Pederzoli, Giorgio
2
1998
The exact distributions and the exact percentage points for testing equality of variances in independent normal populations. Zbl 0438.62009
Mathai, A. M.
2
1979
The distribution and the exact percentage points for Wilks’ \(L_{mvc}\) criterion. Zbl 0447.62017
Mathai, A. M.; Katiyar, R. S.
2
1979
On bilinear forms in normal variables. Zbl 0772.62027
Mathai, A. M.
2
1992
Hypergeometric functions of several matrix arguments. (A preliminary report). Zbl 0791.33013
Mathai, A. M.
2
1993
Extensions of an Euler’s integral through statistical techniques. Zbl 0202.34201
Mathai, A. M.; Saxena, R. K.
2
1971
Matrix methods and fractional calculus. Zbl 1407.26003
Mathai, Arak M.; Haubold, Hans J.
2
2018
On the singular gamma, Wishart, and beta matrix-variate density functions. Zbl 07759503
Mathai, Arak M.; Provost, Serge B.
1
2022
Erdélyi-Kober fractional calculus. From a statistical perspective, inspired by solar neutrino physics. Zbl 1412.81007
Mathai, A. M.; Haubold, H. J.
9
2018
Matrix methods and fractional calculus. Zbl 1407.26003
Mathai, Arak M.; Haubold, Hans J.
2
2018
Mellin convolutions, statistical distributions and fractional calculus. Zbl 1414.44004
Mathai, A. M.
1
2018
Fractional and multivariable calculus. Model building and optimization problems. Zbl 1376.26001
Mathai, A. M.; Haubold, H. J.
14
2017
Erdélyi-Kober fractional integral operators from a statistical perspective. I. Zbl 1360.45011
Mathai, A. M.; Haubold, H. J.
8
2017
Multivariate and matrix-variate analogues of Maxwell-Boltzmann and Raleigh densities. Zbl 1400.62034
Mathai, A. M.; Princy, T.
4
2017
Analogues of reliability analysis for matrix-variate cases. Zbl 1392.62306
Mathai, A. M.; Princy, T.
2
2017
Computational solutions of distributed order reaction-diffusion systems associated with Riemann-Liouville derivatives. Zbl 1318.26018
Saxena, Ram K.; Mathai, Arak M.; Haubold, Hans J.
4
2015
Computational solutions of unified fractional reaction-diffusion equations with composite fractional time derivative. Zbl 1457.65159
Saxena, R. K.; Mathai, A. M.; Haubold, Hans J.
2
2015
Fractional differential operators in the complex matrix-variate case. Zbl 1312.15054
Mathai, A. M.
1
2015
Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative. Zbl 1515.35324
Saxena, Ram K.; Mathai, Arak M.; Haubold, Hans J.
8
2014
Fractional integral operators involving many matrix variables. Zbl 1286.45010
Mathai, A. M.
8
2014
Distributed order reaction-diffusion systems associated with Caputo derivatives. Zbl 1304.35751
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
5
2014
Evaluation of matrix-variate gamma and beta integrals as multiple integrals and Kober fractional integral operators in the complex matrix variate case. Zbl 1338.26005
Mathai, A. M.
1
2014
On a generalized entropy measure leading to the pathway model with a preliminary application to solar neutrino data. Zbl 1391.94587
Mathai, Arak M.; Haubold, Hans J.
6
2013
Fractional operators in the matrix variate case. Zbl 1488.26020
Mathai, A.; Haubold, Hans
6
2013
Fractional integral operators in the complex matrix variate case. Zbl 1283.45008
Mathai, A. M.
5
2013
Generalized Krätzel integral and associated statistical densities. Zbl 1256.33010
Mathai, A. M.
3
2012
On adjacency matrices and descriptors of signed cycle graphs. Zbl 1301.05157
Mathai, A. M.; Zaslavsky, Thomas
1
2012
An entropic pathway to multivariate Gaussian density. Zbl 1290.62041
Haubold, H. J.; Mathai, A. M.; Thomas, S.
1
2012
Mittag-Leffler functions and their applications. Zbl 1218.33021
Haubold, H. J.; Mathai, A. M.; Saxena, R. K.
291
2011
Further solutions of fractional reaction-diffusion equations in terms of the \(H\)-function. Zbl 1206.35245
Haubold, H. J.; Mathai, A. M.; Saxena, R. K.
20
2011
A pathway from Bayesian statistical analysis to superstatistics. Zbl 1271.62047
Mathai, A. M.; Haubold, H. J.
8
2011
Matrix-variate statistical distributions and fractional calculus. Zbl 1273.15041
Mathai, A. M.; Haubold, H. J.
3
2011
The \(H\)-function. Theory and applications. Zbl 1181.33001
Mathai, A. M.; Saxena, Ram Kishore; Haubold, Hans J.
167
2010
Solutions of the fractional reaction equation and the fractional diffusion equation. Zbl 1223.85008
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
90
2010
Solutions of certain fractional kinetic equations and a fractional diffusion equation. Zbl 1314.35065
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
21
2010
Some properties of Mittag-Leffler functions and matrix-variate analogues: a statistical perspective. Zbl 1211.26007
Mathai, A. M.
17
2010
Mittag-Leffler functions to pathway model to Tsallis statistics. Zbl 1209.33010
Mathai, A. M.; Haubold, Hans J.
8
2010
Proceedings of the third UN/ESA/NASA workshop on the international heliophysical year 2007 and basic space science, Tokyo, Japan, June 18–22, 2007. Zbl 1202.85005
2
2010
Fractional integrals in the matrix-variate cases and connection to statistical distributions. Zbl 1195.26016
Mathai, A. M.
4
2009
\(p\)-content of a \(p\)-parallelotope and its connection to likelihood ratio statistic. (\(p\)-content of a \(p\)-parallelotope and its connection to lilkelihood ratio statistic.) Zbl 1192.60028
Thomas, Seemon; Mathai, A. M.
1
2009
Special functions for applied scientists. Zbl 1151.33001
Mathai, A. M.; Haubold, Hans J.
175
2008
On generalized distributions and pathways. Zbl 1220.62167
Mathai, A. M.; Haubold, H. J.
20
2008
On a matrix-variate generalized type-2 Dirichlet density. Zbl 1282.62033
Thomas, Seemon; Thannippara, Alex; Mathai, A. M.
2
2008
Solutions of certain fractional kinetic equations and a fractional diffusion equation. Zbl 1245.35143
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
1
2008
Random volumes under a general matrix-variate model. Zbl 1162.15016
Mathai, A. M.
4
2007
Fractional reaction-diffusion equations. Zbl 1105.35307
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
32
2006
Solution of generalized fractional reaction-diffusion equations. Zbl 1105.35309
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
29
2006
Reaction-diffusion systems and nonlinear waves. Zbl 1105.35308
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
27
2006
A certain class of Laplace transforms with applications to reaction and reaction-diffusion equations. Zbl 1105.35301
Mathai, A. M.; Saxena, R. K.; Haubold, H. J.
16
2006
Solutions of fractional reaction-diffusion equations in terms of Mittag-Leffler functions. Zbl 1153.34304
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
10
2006
A pathway to matrix-variate gamma and normal densities. Zbl 1084.62044
Mathai, A. M.
66
2005
Some complex matrix-variate statistical distributions on rectangular matrices. Zbl 1122.62040
Mathai, A. M.; Provost, Serge B.
8
2005
Some properties of complex matrix-variate generalized Dirichlet integrals. Zbl 1079.33007
Jacob, Joy; George, Sebastian; Mathai, A. M.
1
2005
Boltzmann-Gibbs entropy versus Tsallis entropy: recent contributions to resolving the argument of Einstein concerning “neither Herr Boltzmann nor Herr Planck has given a definition of \(W\)”? Essay review. Zbl 1115.82300
Haubold, H. J.; Mathai, A. M.; Saxena, R. K.
9
2004
Some properties of real matrix-variate inverted generalized Dirichlet integrals. Zbl 1060.62058
Jacob, Joy; Jose, K. K.; Mathai, A. M.
1
2004
A matrix-variate extension of inverted Dirichlet integral. Zbl 1078.33012
Kurian, K. M.; Kurian, Benny; Mathai, A. M.
1
2004
On the distribution of order statistics from generalized logistic samples. Zbl 1416.62114
Mathai, Arak M.; Provost, Serge B.
1
2004
The fractional kinetic equation and thermonuclear functions. Zbl 1034.82048
Haubold, H. J.; Mathai, A. M.
60
2000
Distributions of random simplices through Jacobians of matrix transformations. Zbl 0976.60024
Mathai, A. M.
1
2000
An introduction to geometrical probability. Distributional aspects with applications. Zbl 0968.60001
Mathai, A. M.
28
1999
Random \(p\)-content of a \(p\)-parallelotope in Euclidean \(n\)-space. Zbl 0944.60014
Mathai, A. M.
12
1999
Random points associated with rectangles. Zbl 0949.60028
Mathai, A. M.; Moschopoulos, P.; Pederzoli, G.
3
1999
Distance between random points in a cube. Zbl 0944.60017
Mathai, A. M.; Moschopoulos, P.; Pederzoli, G.
1
1999
On thermonuclear reaction rates. Zbl 1026.85003
Haubold, H. J.; Mathai, A. M.
2
1998
A Whittaker function of matrix argument. Zbl 0886.15025
Mathai, A. M.; Pederzoli, Giorgio
2
1998
Jacobians of matrix transformations and functions of matrix argument. Zbl 0889.33001
Mathai, A. M.
84
1997
A multivariate inverted beta model. Zbl 0895.62055
Mathai, A. M.; Moschopoulos, P. G.
2
1997
Some properties of matrix-variate Laplace transforms and matrix-variate Whittaker functions. Zbl 0865.44001
Mathai, A. M.; Pederzoli, Giorgio
2
1997
Random points with reference to circle, revisited. Zbl 0891.60011
Mathai, A. M.; Pederozoli, G.
1
1997
A simple derivation of the chi-square approximation of Pearson’s statistic. Zbl 0895.62021
Mathai, A. M.; Pederzoli, G.
1
1996
Bilinear forms and zonal polynomials. Zbl 0832.62044
Mathai, Arak M.; Provost, Serge B.; Hayakawa, Takesi
35
1995
Solar structure in terms of Gauss’ hypergeometric function. Zbl 0844.76081
Haubold, H. J.; Mathai, A. M.
1
1995
Solar nuclear energy generation and the chlorine solar neutrino experiment. Preprints. Zbl 0925.85001
Haubold, H. J.; Mathai, A. M.
4
1994
Computational aspects of the gravitational instability problem for a multicomponent cosmological medium. Zbl 0809.70008
Haubold, H. J.; Mathai, A. M.
4
1994
Astrophysical thermonuclear functions. Zbl 1125.85316
Anderson, W. J.; Haubold, H. J.; Mathai, A. M.
3
1994
A handbook of generalized special functions for statistical and physical sciences. Zbl 0770.33001
Mathai, A. M.
117
1993
On noncentral generalized Laplacianness of quadratic forms in normal variables. Zbl 0783.62041
Mathai, A. M.
17
1993
The residual effect of a growth-decay mechanism and the distributions of covariance structures. Zbl 0785.62055
Mathai, A. M.
8
1993
Appell’s and Humbert’s functions of matrix arguments. Zbl 0769.33011
Mathai, A. M.
3
1993
Hypergeometric functions of several matrix arguments. (A preliminary report). Zbl 0791.33013
Mathai, A. M.
2
1993
Generalized Laplace distribution with applications. Zbl 0877.60014
Mathai, A. M.
1
1993
Lauricella functions of real symmetric positive definite matrices. Zbl 0788.33006
Mathai, A. M.
1
1993
Quadratic forms in random variables. Theory and applications. Zbl 0792.62045
Mathai, A. M.; Provost, Serge B.
183
1992
A form of multivariate gamma distribution. Zbl 0760.62049
Mathai, A. M.; Moschopoulos, P. G.
21
1992
On linear functions of certain noncentral versions of independent gamma variables. Zbl 0746.62011
Mathai, A. M.
3
1992
On bilinear forms in normal variables. Zbl 0772.62027
Mathai, A. M.
2
1992
On a multivariate gamma. Zbl 0739.62039
Mathai, A. M.; Moschopoulos, P. G.
31
1991
On fractional moments of quadratic expressions in normal variables. Zbl 0800.62260
Mathai, A. M.
1
1991
Structure of regular semigroups. II: Cross-connections. Ed. by A. M. Mathai. Zbl 0707.20019
Nambooripad, K. S. S.
5
1989
Some common structures of distribution problems in geometric probabilities and multivariate statistical analysis. Zbl 0718.62094
Mathai, A. M.; Pederzoli, G.
1
1989
Gravitational instability in a multicomponent cosmological medium. Zbl 0655.76102
Mathai, A. M.; Haubold, H. J.; Mücket, J. P.; Gottlöber, S.; Müller, V.
7
1988
Various practical problems in probability and statistics where Lauricella’s confluent hypergeometric function appears naturally. Zbl 0717.62046
Mathai, A. M.; Saxena, R. K.
2
1987
The resonant thermonuclear reaction rate. Zbl 0599.33012
Haubold, H. J.; Mathai, A. M.
1
1986
Exact and asymptotic procedures in the distribution of multivariate test statistics. Zbl 0577.62048
Mathai, A. M.
1
1985
Extensions of Wilks’ integral equations and distributions of test statistics. Zbl 0559.62039
Mathai, A. M.
8
1984
On a random convex hull in an n-ball. Zbl 0553.60018
Mathai, A. M.; Tracy, D. S.
2
1983
Exact densities of the random r-contents of beta distributed random points in an n-ball. Zbl 0573.60018
Mathai, A. M.
1
1983
Storage capacity of a dam with gamma type inputs. Zbl 0505.60099
Mathai, A. M.
38
1982
On a conjecture in geometric probability regarding asymptotic normality of a random simplex. Zbl 0479.60021
Mathai, A. M.
15
1982
Further results on the trace of a noncentral Wishart matrix. Zbl 0521.62042
Mathai, A. M.; Pillai, K. C. S.
8
1982
Distribution of the canonical correlation matrix. Zbl 0471.62053
Mathai, A. M.
6
1981
Moments of the trace of a noncentral Wishart matrix. Zbl 0462.62038
Mathai, A. M.
7
1980
The exact non-null distribution for testing equality of covariance matrices. Zbl 0487.62044
Mathai, A. M.; Rathie, P. N.
2
1980
Exact percentage points for testing independence. Zbl 0407.62031
Mathai, A. M.; Katiyar, R. S.
10
1979
On the non-null distributions of test statistics connected with exponential populations. Zbl 0442.62017
Mathai, A. M.
7
1979
The exact distributions and the exact percentage points for testing equality of variances in independent normal populations. Zbl 0438.62009
Mathai, A. M.
2
1979
The distribution and the exact percentage points for Wilks’ \(L_{mvc}\) criterion. Zbl 0447.62017
Mathai, A. M.; Katiyar, R. S.
2
1979
...and 40 more Documents
all top 5

Cited by 2,181 Authors

64 Mathai, Arakaparampli Mathai
38 Saxena, Ram Kishore
28 Haubold, Hans Joachim
27 Nadarajah, Saralees
25 Sandev, Trifce
25 Sooppy Nisar, Kottakkaran
24 Agarwal, Praveen
21 Kumar, C. Satheesh
21 Provost, Serge B.
21 Srivastava, Hari Mohan
19 Băleanu, Dumitru I.
19 Kaminski Lenzi, Ervin
19 Rathie, Pushpa Narayan
19 Suthar, Daya Lal
17 Purohit, Sunil Dutt
14 Machado, José António Tenreiro
13 Choi, Junesang
13 Kalla, Shyam Lal
13 Leonenko, Nikolai N.
13 Metzler, Ralf
13 Pogány, Tibor K.
12 Bansal, Manish Kumar
12 Bodnar, Taras
12 Farid, Ghulam
12 Gupta, Arjun Kumar
12 Kumar, Dinesh
12 Mainardi, Francesco
12 Mehrez, Khaled
12 Pederzoli, Giorgio
12 Polito, Federico
12 Rahman, Gauhar
12 Tomovski, Živorad
12 Xu, Mingyu
11 de Oliveira, Edmundo Capelas
11 Gil, María Angeles
11 Milne, Stephen C.
11 Mubeen, Shahid
11 Schmid, Wolfgang
10 Bekker, Andriëtte
10 Chechkin, Aleksei V.
10 Kilbas, Anatoliĭ Aleksandrovich
10 Kiryakova, Virginia S.
10 Kumar, Devendra
10 Nagar, Daya K.
10 Pham-Gia, Thu
9 Al-Omari, Shrideh Khalaf Qasem
9 Bieniek, Mariusz
9 Chand, Mehar
9 Díaz-García, José Antonio
9 Orsingher, Enzo
8 Abdalla, Mohamed
8 Arashi, Mohammad
8 Jain, Shilpi
8 Jose, Kanichukattu Korakutty
8 Parmar, Rakesh Kumar
8 Shukla, Ajay Kumar
7 Abdeljawad, Thabet
7 Beghin, Luisa
7 Cramer, Erhard
7 Dong, Jianping
7 Evangelista, Luiz Roberto
7 Furman, Edward
7 Gaboury, Sébastien
7 Garrappa, Roberto
7 Ghanim, Firas
7 Henry, Bruce I.
7 Petreska, Irina
7 Prajapati, Jyotindra C.
7 Ribeiro, Haroldo V.
7 Roux, Jacobus J. J.
7 Singh, Jagdev
6 Arshad, Muhammad
6 Coelho, Carlos Agra
6 Górska, Katarzyna
6 Iomin, Alexander
6 Kataria, Kuldeep Kumar
6 Khushtova, Fatima Gidovna
6 Kumar, Dilip
6 Landsman, Zinoviy M.
6 Nkiet, Guy Martial
6 Pagnini, Gianni
6 Popov, Dušan
6 Riyaz, A.
6 Saigo, Megumi
6 Sitnik, Sergei Mihailovich
6 Thäle, Christoph
5 Agarwal, Ritu
5 Angstmann, Christopher N.
5 Anh, Vo V.
5 Burkschat, Marco
5 D’Ovidio, Mirko
5 Elwakil, S. A.
5 Garra, Roberto
5 Gil, Pedro A.
5 Gutiérrez-Jáimez, Ramón
5 Khan, Nabiullah U.
5 Kumar, Hemant
5 Lenzi, Marcelo K.
5 Luo, Shaokai
5 Mazur, Stepan
...and 2,081 more Authors
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Cited in 429 Serials

74 Communications in Statistics. Theory and Methods
53 Fractional Calculus & Applied Analysis
51 Journal of Multivariate Analysis
44 Journal of Mathematical Physics
40 Applied Mathematics and Computation
38 Integral Transforms and Special Functions
34 Physica A
34 Statistics & Probability Letters
27 Linear Algebra and its Applications
27 Advances in Difference Equations
26 Chaos, Solitons and Fractals
26 Journal of Computational and Applied Mathematics
23 Statistics
22 Annals of the Institute of Statistical Mathematics
22 Communications in Nonlinear Science and Numerical Simulation
20 Computers & Mathematics with Applications
19 Journal of Statistical Computation and Simulation
18 Journal of Physics A: Mathematical and Theoretical
17 Journal of Mathematical Analysis and Applications
17 Journal of Statistical Planning and Inference
17 Communications in Statistics. Simulation and Computation
17 Abstract and Applied Analysis
17 Axioms
16 International Journal of Applied and Computational Mathematics
14 American Journal of Mathematical and Management Sciences
14 Nonlinear Dynamics
12 Journal of Statistical Physics
12 Physics Letters. A
12 Mathematical Problems in Engineering
11 The Canadian Journal of Statistics
11 Statistical Papers
10 Astrophysics and Space Science
10 Metrika
10 Journal of Applied Probability
10 Statistica
10 Computational Statistics and Data Analysis
10 Journal of Function Spaces
10 Journal of Ramanujan Society of Mathematics and Mathematical Sciences
10 AIMS Mathematics
9 Mathematical Methods in the Applied Sciences
9 Applied Mathematical Modelling
9 Stochastic Processes and their Applications
9 Communications of the Korean Mathematical Society
9 Electronic Journal of Statistics
9 Advances in Mathematical Physics
9 Journal of Mathematics
8 Applied Mathematics Letters
8 Journal of Inequalities and Applications
8 Mathematics
7 International Journal of Theoretical Physics
7 Advances in Mathematics
7 Theory of Probability and Mathematical Statistics
7 Methodology and Computing in Applied Probability
7 Brazilian Journal of Probability and Statistics
7 South East Asian Journal of Mathematics and Mathematical Sciences
7 Boletim da Sociedade Paranaense de Matemática. Terceira Série
7 Journal of Statistical Theory and Practice
7 Discrete and Continuous Dynamical Systems. Series S
6 Linear and Multilinear Algebra
6 Reports on Mathematical Physics
6 Automatica
6 Insurance Mathematics & Economics
6 Mathematical Modelling of Natural Phenomena
6 Sankhyā. Series A
5 Journal of the Franklin Institute
5 Rocky Mountain Journal of Mathematics
5 Information Sciences
5 Mathematics and Computers in Simulation
5 Results in Mathematics
5 Journal of Integral Equations and Applications
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 The Journal of Analysis
5 Computational and Applied Mathematics
5 Lobachevskii Journal of Mathematics
5 Nonlinear Analysis. Real World Applications
5 International Journal of Differential Equations
5 Random Matrices: Theory and Applications
4 Ukrainian Mathematical Journal
4 Fuzzy Sets and Systems
4 Bulletin of the Korean Mathematical Society
4 Stochastic Analysis and Applications
4 Aequationes Mathematicae
4 European Journal of Operational Research
4 International Journal of Computer Mathematics
4 Russian Journal of Mathematical Physics
4 Turkish Journal of Mathematics
4 Georgian Mathematical Journal
4 Fractals
4 Chaos
4 Journal of Applied Statistics
4 Analysis (München)
4 North American Actuarial Journal
4 Journal of Statistical Mechanics: Theory and Experiment
4 Boundary Value Problems
4 ALEA. Latin American Journal of Probability and Mathematical Statistics
4 Journal of Computational and Graphical Statistics
4 Symmetry
4 Afrika Matematika
4 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki
3 Modern Physics Letters A
...and 329 more Serials
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Cited in 56 Fields

565 Statistics (62-XX)
529 Special functions (33-XX)
360 Probability theory and stochastic processes (60-XX)
346 Real functions (26-XX)
296 Partial differential equations (35-XX)
157 Ordinary differential equations (34-XX)
138 Integral transforms, operational calculus (44-XX)
126 Numerical analysis (65-XX)
90 Statistical mechanics, structure of matter (82-XX)
85 Linear and multilinear algebra; matrix theory (15-XX)
77 Quantum theory (81-XX)
66 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
48 Operator theory (47-XX)
43 Biology and other natural sciences (92-XX)
42 Information and communication theory, circuits (94-XX)
41 Integral equations (45-XX)
34 Fluid mechanics (76-XX)
32 Systems theory; control (93-XX)
30 Functions of a complex variable (30-XX)
29 Number theory (11-XX)
26 Operations research, mathematical programming (90-XX)
24 Harmonic analysis on Euclidean spaces (42-XX)
23 Combinatorics (05-XX)
22 Functional analysis (46-XX)
22 Convex and discrete geometry (52-XX)
20 Mechanics of deformable solids (74-XX)
17 Dynamical systems and ergodic theory (37-XX)
14 Difference and functional equations (39-XX)
14 Mechanics of particles and systems (70-XX)
13 Computer science (68-XX)
13 Astronomy and astrophysics (85-XX)
8 Measure and integration (28-XX)
8 Sequences, series, summability (40-XX)
8 Approximations and expansions (41-XX)
8 Optics, electromagnetic theory (78-XX)
7 History and biography (01-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Differential geometry (53-XX)
5 Topological groups, Lie groups (22-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Relativity and gravitational theory (83-XX)
4 Nonassociative rings and algebras (17-XX)
4 Potential theory (31-XX)
4 Abstract harmonic analysis (43-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Geophysics (86-XX)
3 Algebraic geometry (14-XX)
2 General and overarching topics; collections (00-XX)
2 Mathematics education (97-XX)
1 Mathematical logic and foundations (03-XX)
1 General algebraic systems (08-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Geometry (51-XX)
1 General topology (54-XX)

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