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Mathai, Arakaparampli Mathai

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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: IdRef · MGP · Wikidata
Documents Indexed: 222 Publications since 1965, including 33 Books
Reviewing Activity: 111 Reviews
Biographic References: 3 Publications
all top 5

Serials

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 Journal of Ramanujan Society of Mathematics and Mathematical Sciences
5 Communications in Statistics. Theory and Methods
4 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 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 South East Asian Journal of Mathematics and Mathematical Sciences
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 Tbilisi Mathematical Journal
1 Journal of the Italian Statistical Society
1 Sankhyā. Series A
1 Mathematica Æterna
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

132 Publications have been cited 1,878 times in 1,315 Documents Cited by Year
The H-function with applications in statistics and other disciplines. Zbl 0382.33001
Mathai, A. M.; Saxena, R. K.
207
1978
Mittag-Leffler functions and their applications. Zbl 1218.33021
Haubold, H. J.; Mathai, A. M.; Saxena, R. K.
185
2011
Quadratic forms in random variables. Theory and applications. Zbl 0792.62045
Mathai, A. M.; Provost, Serge B.
149
1992
Special functions for applied scientists. Zbl 1151.33001
Mathai, A. M.; Haubold, Hans J.
117
2008
Generalized hypergeometric functions with applications in statistics and physical sciences. Zbl 0272.33001
Mathai, A. M.; Saxena, R. K.
114
1973
The \(H\)-function. Theory and applications. Zbl 1181.33001
Mathai, A. M.; Saxena, Ram Kishore; Haubold, Hans J.
108
2010
A handbook of generalized special functions for statistical and physical sciences. Zbl 0770.33001
Mathai, A. M.
99
1993
Jacobians of matrix transformations and functions of matrix argument. Zbl 0889.33001
Mathai, A. M.
63
1997
Solutions of the fractional reaction equation and the fractional diffusion equation. Zbl 1223.85008
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
63
2010
A pathway to matrix-variate gamma and normal densities. Zbl 1084.62044
Mathai, A. M.
49
2005
Basic concepts in information theory and statistics. Axiomatic foundations and applications. Zbl 0346.94014
Mathai, A. M.; Rathie, P. N.
42
1975
The fractional kinetic equation and thermonuclear functions. Zbl 1034.82048
Haubold, H. J.; Mathai, A. M.
40
2000
Storage capacity of a dam with gamma type inputs. Zbl 0505.60099
Mathai, A. M.
30
1982
On a multivariate gamma. Zbl 0739.62039
Mathai, A. M.; Moschopoulos, P. G.
29
1991
Bilinear forms and zonal polynomials. Zbl 0832.62044
Mathai, Arak M.; Provost, Serge B.; Hayakawa, Takesi
28
1995
Fractional reaction-diffusion equations. Zbl 1105.35307
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
28
2006
Reaction-diffusion systems and nonlinear waves. Zbl 1105.35308
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
26
2006
Solution of generalized fractional reaction-diffusion equations. Zbl 1105.35309
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
25
2006
An introduction to geometrical probability. Distributional aspects with applications. Zbl 0968.60001
Mathai, A. M.
20
1999
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.
19
2011
Solutions of certain fractional kinetic equations and a fractional diffusion equation. Zbl 1314.35065
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
17
2010
A form of multivariate gamma distribution. Zbl 0760.62049
Mathai, A. M.; Moschopoulos, P. G.
16
1992
Some properties of Mittag-Leffler functions and matrix-variate analogues: a statistical perspective. Zbl 1211.26007
Mathai, A. M.
15
2010
The exact distribution of Wilk’s criterion. Zbl 0216.21805
Mathai, A. M.; Rathie, P. N.
14
1971
On noncentral generalized Laplacianness of quadratic forms in normal variables. Zbl 0783.62041
Mathai, A. M.
14
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.
14
2006
On a conjecture in geometric probability regarding asymptotic normality of a random simplex. Zbl 0479.60021
Mathai, A. M.
12
1982
On generalized distributions and pathways. Zbl 1220.62167
Mathai, A. M.; Haubold, H. J.
12
2008
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.
10
2004
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
On a generalized hypergeomet ic distribution. Zbl 0156.40401
Mathai, A. M.; Saxena, R. K.
10
1966
Extensions of Wilks’ integral equations and distributions of test statistics. Zbl 0559.62039
Mathai, A. M.
8
1984
Random \(p\)-content of a \(p\)-parallelotope in Euclidean \(n\)-space. Zbl 0944.60014
Mathai, A. M.
8
1999
The residual effect of a growth-decay mechanism and the distributions of covariance structures. Zbl 0785.62055
Mathai, A. M.
8
1993
Distribution of a product and the structural set up of densities. Zbl 0186.53003
Mathai, A. M.; Saxena, R. K.
8
1969
On the distribution of the likelihood ratio criterion for testing linear hypotheses on regression coefficients. Zbl 0256.62062
Mathai, A. M.
7
1971
Some complex matrix-variate statistical distributions on rectangular matrices. Zbl 1122.62040
Mathai, A. M.; Provost, Serge B.
7
2005
Further results on the trace of a noncentral Wishart matrix. Zbl 0521.62042
Mathai, A. M.; Pillai, K. C. S.
7
1982
A few remarks about some recent articles on the exact distributions of multivariate test criteria. I. Zbl 0334.62019
Mathai, A. M.
6
1973
Characterizations of the normal probability law. Zbl 0388.60001
Mathai, A. M.; Pederzoli, G.
6
1977
Fractional integral operators involving many matrix variables. Zbl 1286.45010
Mathai, A. M.
6
2014
On the non-null distributions of test statistics connected with exponential populations. Zbl 0442.62017
Mathai, A. M.
6
1979
Moments of the trace of a noncentral Wishart matrix. Zbl 0462.62038
Mathai, A. M.
6
1980
Fractional operators in the matrix variate case. Zbl 06440340
Mathai, A.; Haubold, Hans
6
2013
Erdélyi-Kober fractional integral operators from a statistical perspective. I. Zbl 1360.45011
Mathai, A. M.; Haubold, H. J.
6
2017
The exact non-central distribution of the generalized variance. Zbl 0312.62045
Mathai, A. M.
5
1972
Fractional integral operators in the complex matrix variate case. Zbl 1283.45008
Mathai, A. M.
5
2013
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.
5
2013
Mittag-Leffler functions to pathway model to Tsallis statistics. Zbl 1209.33010
Mathai, A. M.; Haubold, Hans J.
5
2010
The exact distribution of Votaw’s criteria. Zbl 0218.62054
Mathai, A. M.; Rathie, P. N.
5
1970
Distributed order reaction-diffusion systems associated with Caputo derivatives. Zbl 1304.35751
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
5
2014
Solar nuclear energy generation and the chlorine solar neutrino experiment. Preprints. Zbl 0925.85001
Haubold, H. J.; Mathai, A. M.
4
1994
Some results on functions of matrix argument. Zbl 0319.33001
Mathai, A. M.
4
1978
Fractional and multivariable calculus. Model building and optimization problems. Zbl 1376.26001
Mathai, A. M.; Haubold, H. J.
4
2017
A pathway from Bayesian statistical analysis to superstatistics. Zbl 1271.62047
Mathai, A. M.; Haubold, H. J.
4
2011
Computational aspects of the gravitational instability problem for a multicomponent cosmological medium. Zbl 0809.70008
Haubold, H. J.; Mathai, A. M.
4
1994
The exact distributions of three multivariate statistics associated with Wilks’ concept of generalized variance. Zbl 0246.62067
Mathai, A. M.
4
1972
A review of the different techniques used for deriving the exact distributions of multivariate test criteria. Zbl 0275.62045
Mathai, A. M.
4
1973
Distribution of the canonical correlation matrix. Zbl 0471.62053
Mathai, A. M.
4
1981
Fractional integrals in the matrix-variate cases and connection to statistical distributions. Zbl 1195.26016
Mathai, A. M.
4
2009
Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative. Zbl 06436721
Saxena, Ram K.; Mathai, Arak M.; Haubold, Hans J.
4
2014
Matrix-variate statistical distributions and fractional calculus. Zbl 1273.15041
Mathai, A. M.; Haubold, H. J.
3
2011
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
Random volumes under a general matrix-variate model. Zbl 1162.15016
Mathai, A. M.
3
2007
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
Generalized Krätzel integral and associated statistical densities. Zbl 1256.33010
Mathai, A. M.
3
2012
Random points associated with rectangles. Zbl 0949.60028
Mathai, A. M.; Moschopoulos, P.; Pederzoli, G.
2
1999
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
A multivariate inverted beta model. Zbl 0895.62055
Mathai, A. M.; Moschopoulos, P. G.
2
1997
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
Analogues of reliability analysis for matrix-variate cases. Zbl 1392.62306
Mathai, A. M.; Princy, T.
2
2017
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
Haubold, Hans J. (ed.); Mathai, A. M. (ed.)
2
2010
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.
2
2015
Hypergeometric functions of several matrix arguments. (A preliminary report). Zbl 0791.33013
Mathai, A. M.
2
1993
Astrophysical thermonuclear functions. Zbl 1125.85316
Anderson, W. J.; Haubold, H. J.; Mathai, A. M.
2
1994
Extensions of an Euler’s integral through statistical techniques. Zbl 0202.34201
Mathai, A. M.; Saxena, R. K.
2
1971
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
Constructing the sunflower head. Zbl 0279.92008
Mathai, A. M.; Davis, T. Anthony
2
1974
On bilinear forms in normal variables. Zbl 0772.62027
Mathai, A. M.
2
1992
The distribution and the exact percentage points for Wilks’ \(L_{mvc}\) criterion. Zbl 0447.62017
Mathai, A. M.; Katiyar, R. S.
2
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
Gravitational instability in a multicomponent cosmological medium. Zbl 0655.76102
Mathai, A. M.; Haubold, H. J.; Mücket, J. P.; Gottlöber, S.; Müller, V.
2
1988
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 a matrix-variate generalized type-2 Dirichlet density. Zbl 1282.62033
Thomas, Seemon; Thannippara, Alex; Mathai, A. M.
2
2008
Erdélyi-Kober fractional calculus. From a statistical perspective, inspired by solar neutrino physics. Zbl 1412.81007
Mathai, A. M.; Haubold, H. J.
2
2018
Multivariate and matrix-variate analogues of Maxwell-Boltzmann and Raleigh densities. Zbl 1400.62034
Mathai, A. M.; Princy, T.
2
2017
Distributions of random simplices through Jacobians of matrix transformations. Zbl 0976.60024
Mathai, A. M.
1
2000
Erdélyi-Kober fractional calculus. From a statistical perspective, inspired by solar neutrino physics. Zbl 1412.81007
Mathai, A. M.; Haubold, H. J.
2
2018
Matrix methods and fractional calculus. Zbl 1407.26003
Mathai, Arak M.; Haubold, Hans J.
1
2018
Mellin convolutions, statistical distributions and fractional calculus. Zbl 1414.44004
Mathai, A. M.
1
2018
Erdélyi-Kober fractional integral operators from a statistical perspective. I. Zbl 1360.45011
Mathai, A. M.; Haubold, H. J.
6
2017
Fractional and multivariable calculus. Model building and optimization problems. Zbl 1376.26001
Mathai, A. M.; Haubold, H. J.
4
2017
Analogues of reliability analysis for matrix-variate cases. Zbl 1392.62306
Mathai, A. M.; Princy, T.
2
2017
Multivariate and matrix-variate analogues of Maxwell-Boltzmann and Raleigh densities. Zbl 1400.62034
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.
2
2015
Fractional differential operators in the complex matrix-variate case. Zbl 1312.15054
Mathai, A. M.
1
2015
Fractional integral operators involving many matrix variables. Zbl 1286.45010
Mathai, A. M.
6
2014
Distributed order reaction-diffusion systems associated with Caputo derivatives. Zbl 1304.35751
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
5
2014
Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative. Zbl 06436721
Saxena, Ram K.; Mathai, Arak M.; Haubold, Hans J.
4
2014
Fractional operators in the matrix variate case. Zbl 06440340
Mathai, A.; Haubold, Hans
6
2013
Fractional integral operators in the complex matrix variate case. Zbl 1283.45008
Mathai, A. M.
5
2013
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.
5
2013
Generalized Krätzel integral and associated statistical densities. Zbl 1256.33010
Mathai, A. M.
3
2012
An entropic pathway to multivariate Gaussian density. Zbl 1290.62041
Haubold, H. J.; Mathai, A. M.; Thomas, S.
1
2012
On adjacency matrices and descriptors of signed cycle graphs. Zbl 1301.05157
Mathai, A. M.; Zaslavsky, Thomas
1
2012
Mittag-Leffler functions and their applications. Zbl 1218.33021
Haubold, H. J.; Mathai, A. M.; Saxena, R. K.
185
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.
19
2011
A pathway from Bayesian statistical analysis to superstatistics. Zbl 1271.62047
Mathai, A. M.; Haubold, H. J.
4
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.
108
2010
Solutions of the fractional reaction equation and the fractional diffusion equation. Zbl 1223.85008
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
63
2010
Solutions of certain fractional kinetic equations and a fractional diffusion equation. Zbl 1314.35065
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
17
2010
Some properties of Mittag-Leffler functions and matrix-variate analogues: a statistical perspective. Zbl 1211.26007
Mathai, A. M.
15
2010
Mittag-Leffler functions to pathway model to Tsallis statistics. Zbl 1209.33010
Mathai, A. M.; Haubold, Hans J.
5
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
Haubold, Hans J.; Mathai, A. M.
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.
117
2008
On generalized distributions and pathways. Zbl 1220.62167
Mathai, A. M.; Haubold, H. J.
12
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.
3
2007
Fractional reaction-diffusion equations. Zbl 1105.35307
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
28
2006
Reaction-diffusion systems and nonlinear waves. Zbl 1105.35308
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
26
2006
Solution of generalized fractional reaction-diffusion equations. Zbl 1105.35309
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
25
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.
14
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.
49
2005
Some complex matrix-variate statistical distributions on rectangular matrices. Zbl 1122.62040
Mathai, A. M.; Provost, Serge B.
7
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.
10
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.
40
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.
20
1999
Random \(p\)-content of a \(p\)-parallelotope in Euclidean \(n\)-space. Zbl 0944.60014
Mathai, A. M.
8
1999
Random points associated with rectangles. Zbl 0949.60028
Mathai, A. M.; Moschopoulos, P.; Pederzoli, G.
2
1999
A Whittaker function of matrix argument. Zbl 0886.15025
Mathai, A. M.; Pederzoli, Giorgio
2
1998
On thermonuclear reaction rates. Zbl 1026.85003
Haubold, H. J.; Mathai, A. M.
1
1998
Jacobians of matrix transformations and functions of matrix argument. Zbl 0889.33001
Mathai, A. M.
63
1997
Some properties of matrix-variate Laplace transforms and matrix-variate Whittaker functions. Zbl 0865.44001
Mathai, A. M.; Pederzoli, Giorgio
2
1997
A multivariate inverted beta model. Zbl 0895.62055
Mathai, A. M.; Moschopoulos, P. G.
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
28
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.
2
1994
A handbook of generalized special functions for statistical and physical sciences. Zbl 0770.33001
Mathai, A. M.
99
1993
On noncentral generalized Laplacianness of quadratic forms in normal variables. Zbl 0783.62041
Mathai, A. M.
14
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
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.
149
1992
A form of multivariate gamma distribution. Zbl 0760.62049
Mathai, A. M.; Moschopoulos, P. G.
16
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.
29
1991
On fractional moments of quadratic expressions in normal variables. Zbl 0800.62260
Mathai, A. M.
1
1991
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.
2
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.
30
1982
On a conjecture in geometric probability regarding asymptotic normality of a random simplex. Zbl 0479.60021
Mathai, A. M.
12
1982
Further results on the trace of a noncentral Wishart matrix. Zbl 0521.62042
Mathai, A. M.; Pillai, K. C. S.
7
1982
Distribution of the canonical correlation matrix. Zbl 0471.62053
Mathai, A. M.
4
1981
Moments of the trace of a noncentral Wishart matrix. Zbl 0462.62038
Mathai, A. M.
6
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.
6
1979
The distribution and the exact percentage points for Wilks’ \(L_{mvc}\) criterion. Zbl 0447.62017
Mathai, A. M.; Katiyar, R. S.
2
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 H-function with applications in statistics and other disciplines. Zbl 0382.33001
Mathai, A. M.; Saxena, R. K.
207
1978
Some results on functions of matrix argument. Zbl 0319.33001
Mathai, A. M.
4
1978
On the non-null distribution of Wilks’ \(L_{mvc}\). Zbl 0433.62031
Mathai, A. M.
1
1978
Characterizations of the normal probability law. Zbl 0388.60001
Mathai, A. M.; Pederzoli, G.
6
1977
The non-null distribution of the likelihood ratio criterion for testing the hypothesis that the covariance matrix is diagonal. Zbl 0375.62052
Mathai, A. M.; Tan, W. Y.
1
1977
Basic concepts in information theory and statistics. Axiomatic foundations and applications. Zbl 0346.94014
Mathai, A. M.; Rathie, P. N.
42
1975
...and 32 more Documents
all top 5

Cited by 1,556 Authors

64 Mathai, Arakaparampli Mathai
37 Saxena, Ram Kishore
27 Haubold, Hans Joachim
20 Srivastava, Hari Mohan
19 Provost, Serge B.
19 Sandev, Trifce
18 Kaminski Lenzi, Ervin
17 Agarwal, Praveen
16 Nadarajah, Saralees
14 Machado, José António Tenreiro
14 Rathie, Pushpa Narayan
13 Kalla, Shyam Lal
13 Sooppy Nisar, Kottakkaran
12 Băleanu, Dumitru I.
12 Gupta, Arjun Kumar
12 Pederzoli, Giorgio
12 Suthar, Daya Lal
12 Xu, Mingyu
11 Gil, María Angeles
11 Kumar, C. Satheesh
11 Mainardi, Francesco
11 Pogány, Tibor K.
10 Bekker, Andriëtte
10 Choi, Junesang
10 Kilbas, Anatoliĭ Aleksandrovich
10 Kiryakova, Virginia S.
10 Leonenko, Nikolai N.
10 Milne, Stephen C.
10 Pham-Gia, Thu
10 Polito, Federico
9 Bieniek, Mariusz
9 de Oliveira, Edmundo Capelas
9 Orsingher, Enzo
9 Purohit, Sunil Dutt
8 Bansal, Manish Kumar
8 Bodnar, Taras
8 Díaz-García, José Antonio
8 Kumar, Devendra
8 Kumar, Dinesh
8 Mehrez, Khaled
8 Mubeen, Shahid
8 Parmar, Rakesh Kumar
8 Rahman, Gauhar
8 Schmid, Wolfgang
8 Tomovski, Živorad
7 Arashi, Mohammad
7 Chand, Mehar
7 Cramer, Erhard
7 Evangelista, Luiz Roberto
7 Furman, Edward
7 Gaboury, Sébastien
7 Garrappa, Roberto
7 Henry, Bruce I.
7 Jose, Kanichukattu Korakutty
7 Petreska, Irina
7 Ribeiro, Haroldo V.
7 Roux, Jacobus J. J.
6 Beghin, Luisa
6 Dong, Jianping
6 Ghanim, Firas
6 Kataria, Kuldeep Kumar
6 Landsman, Zinoviy M.
6 Nkiet, Guy Martial
6 Prajapati, Jyotindra C.
6 Saigo, Megumi
5 Al-Omari, Shrideh Khalaf Qasem
5 Angstmann, Christopher N.
5 Arshad, Muhammad Sarmad
5 Burkschat, Marco
5 Chechkin, Aleksei V.
5 D’Ovidio, Mirko
5 Elwakil, S. A.
5 Gil, Pedro A.
5 Gutiérrez-Jáimez, Ramón
5 Jain, Shilpi
5 Kumar, Dilip
5 Lenzi, Marcelo K.
5 Luo, Shaokai
5 Metzler, Ralf
5 Okhrin, Yarema
5 Pagnini, Gianni
5 Rogosin, Sergei V.
5 Trujillo, Juan J.
5 Zahran, M. A.
4 Anderson, William J.
4 Bajpai, Shri Dhar
4 Balakrishnan, Narayanaswamy
4 Coelho, Carlos Agra
4 da Silva, Luciano R.
4 Duan, Junsheng
4 Garra, Roberto
4 Harrar, Solomon W.
4 Iomin, Alexander
4 Jensen, Donald R.
4 Kan, Raymond
4 Karp, Dmitriĭ Borisovich
4 Klir, George J.
4 Langlands, T. A. M.
4 Li, Lin
4 Luchko, Yuri
...and 1,456 more Authors
all top 5

Cited in 357 Serials

58 Communications in Statistics. Theory and Methods
47 Journal of Multivariate Analysis
44 Fractional Calculus & Applied Analysis
42 Journal of Mathematical Physics
37 Applied Mathematics and Computation
36 Integral Transforms and Special Functions
29 Statistics & Probability Letters
26 Linear Algebra and its Applications
23 Journal of Computational and Applied Mathematics
22 Annals of the Institute of Statistical Mathematics
20 Computers & Mathematics with Applications
20 Statistics
17 Axioms
16 Abstract and Applied Analysis
15 Journal of Mathematical Analysis and Applications
15 Chaos, Solitons and Fractals
15 Journal of Statistical Planning and Inference
14 Physica A
14 American Journal of Mathematical and Management Sciences
14 Journal of Statistical Computation and Simulation
14 Communications in Nonlinear Science and Numerical Simulation
13 Nonlinear Dynamics
13 International Journal of Applied and Computational Mathematics
12 Advances in Difference Equations
10 Astrophysics and Space Science
10 The Canadian Journal of Statistics
10 Metrika
10 Communications in Statistics. Simulation and Computation
10 Statistical Papers
10 Mathematical Problems in Engineering
9 Journal of Statistical Physics
9 Physics Letters. A
9 Applied Mathematical Modelling
8 Journal of Applied Probability
8 Applied Mathematics Letters
8 Stochastic Processes and their Applications
8 Computational Statistics and Data Analysis
8 Journal of Mathematics
8 Mathematics
7 Brazilian Journal of Probability and Statistics
6 International Journal of Theoretical Physics
6 Advances in Mathematics
6 Insurance Mathematics & Economics
6 Communications of the Korean Mathematical Society
6 Boletim da Sociedade Paranaense de Matemática. Terceira Série
6 Mathematical Modelling of Natural Phenomena
6 Journal of Function Spaces
5 Automatica
5 Journal of Integral Equations and Applications
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Theory of Probability and Mathematical Statistics
5 Methodology and Computing in Applied Probability
5 Nonlinear Analysis. Real World Applications
5 Journal of Statistical Theory and Practice
5 Electronic Journal of Statistics
5 International Journal of Differential Equations
4 Journal of the Franklin Institute
4 Reports on Mathematical Physics
4 Rocky Mountain Journal of Mathematics
4 Fuzzy Sets and Systems
4 Information Sciences
4 Mathematics and Computers in Simulation
4 Stochastic Analysis and Applications
4 European Journal of Operational Research
4 Russian Journal of Mathematical Physics
4 Journal of Inequalities and Applications
4 Chaos
4 ALEA. Latin American Journal of Probability and Mathematical Statistics
4 Advances in Mathematical Physics
4 Symmetry
4 Sankhyā. Series A
4 Afrika Matematika
4 Journal of Ramanujan Society of Mathematics and Mathematical Sciences
3 Modern Physics Letters A
3 Acta Mechanica
3 Advances in Applied Probability
3 Astronomische Nachrichten
3 International Journal of General Systems
3 Journal of Computational Physics
3 Linear and Multilinear Algebra
3 Psychometrika
3 Journal of Functional Analysis
3 Journal of Soviet Mathematics
3 Kybernetika
3 Kyungpook Mathematical Journal
3 Trabajos de Estadistica y de Investigacion Operativa
3 Bulletin of the Korean Mathematical Society
3 Acta Mathematicae Applicatae Sinica. English Series
3 Econometric Reviews
3 Journal of Scientific Computing
3 Numerical Algorithms
3 Annals of Physics
3 The Journal of Analysis
3 Computational and Applied Mathematics
3 Georgian Mathematical Journal
3 Boletín de la Sociedad Matemática Mexicana. Third Series
3 Discrete Dynamics in Nature and Society
3 Extremes
3 Annales Henri Poincaré
3 Quantitative Finance
...and 257 more Serials
all top 5

Cited in 53 Fields

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

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