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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.
External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 238 Publications since 1965, including 20 Books and 21 Additional arXiv Preprints
15 Contributions as Editor
Reviewing Activity: 118 Reviews
Biographic References: 4 Publications
Co-Authors: 38 Co-Authors with 154 Joint Publications
629 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
7 Journal of Ramanujan Society of Mathematics and Mathematical Sciences
6 Sankhyā. Series A. Methods and Techniques
6 Statistica
6 Communications in Statistics. Theory and Methods
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 The Mathematics Student
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 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 Statistical Papers
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
all top 5

Fields

127 Statistics (62-XX)
83 Special functions (33-XX)
44 Probability theory and stochastic processes (60-XX)
35 Real functions (26-XX)
26 Linear and multilinear algebra; matrix theory (15-XX)
18 General and overarching topics; collections (00-XX)
16 Astronomy and astrophysics (85-XX)
15 Partial differential equations (35-XX)
15 Integral transforms, operational calculus (44-XX)
10 Statistical mechanics, structure of matter (82-XX)
5 Combinatorics (05-XX)
5 Sequences, series, summability (40-XX)
5 Convex and discrete geometry (52-XX)
5 Fluid mechanics (76-XX)
5 Information and communication theory, circuits (94-XX)
4 Integral equations (45-XX)
4 Quantum theory (81-XX)
3 History and biography (01-XX)
3 Operator theory (47-XX)
3 Numerical analysis (65-XX)
2 Group theory and generalizations (20-XX)
2 Differential geometry (53-XX)
2 Relativity and gravitational theory (83-XX)
2 Operations research, mathematical programming (90-XX)
2 Biology and other natural sciences (92-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Functional analysis (46-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Mechanics of particles and systems (70-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Publications by Year

Citations contained in zbMATH Open

143 Publications have been cited 2,709 times in 1,948 Documents Cited by Year
Mittag-Leffler functions and their applications. Zbl 1218.33021
Haubold, H. J.; Mathai, A. M.; Saxena, R. K.
335
2011
The H-function with applications in statistics and other disciplines. Zbl 0382.33001
Mathai, A. M.; Saxena, R. K.
249
1978
Quadratic forms in random variables. Theory and applications. Zbl 0792.62045
Mathai, A. M.; Provost, Serge B.
216
1992
The \(H\)-function. Theory and applications. Zbl 1181.33001
Mathai, A. M.; Saxena, Ram Kishore; Haubold, Hans J.
209
2010
Special functions for applied scientists. Zbl 1151.33001
Mathai, A. M.; Haubold, Hans J.
195
2008
Generalized hypergeometric functions with applications in statistics and physical sciences. Zbl 0272.33001
Mathai, A. M.; Saxena, R. K.
146
1973
A handbook of generalized special functions for statistical and physical sciences. Zbl 0770.33001
Mathai, A. M.
136
1993
Jacobians of matrix transformations and functions of matrix argument. Zbl 0889.33001
Mathai, A. M.
96
1997
Solutions of the fractional reaction equation and the fractional diffusion equation. Zbl 1223.85008
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
93
2010
A pathway to matrix-variate gamma and normal densities. Zbl 1084.62044
Mathai, A. M.
74
2005
The fractional kinetic equation and thermonuclear functions. Zbl 1034.82048
Haubold, H. J.; Mathai, A. M.
66
2000
Basic concepts in information theory and statistics. Axiomatic foundations and applications. Zbl 0346.94014
Mathai, A. M.; Rathie, P. N.
44
1975
Storage capacity of a dam with gamma type inputs. Zbl 0505.60099
Mathai, A. M.
39
1982
Bilinear forms and zonal polynomials. Zbl 0832.62044
Mathai, Arak M.; Provost, Serge B.; Hayakawa, Takesi
39
1995
Solution of generalized fractional reaction-diffusion equations. Zbl 1105.35309
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
35
2006
An introduction to geometrical probability. Distributional aspects with applications. Zbl 0968.60001
Mathai, A. M.
34
1999
Fractional reaction-diffusion equations. Zbl 1105.35307
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
34
2006
On a multivariate gamma. Zbl 0739.62039
Mathai, A. M.; Moschopoulos, P. G.
32
1991
Reaction-diffusion systems and nonlinear waves. Zbl 1105.35308
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
29
2006
On generalized distributions and pathways. Zbl 1220.62167
Mathai, A. M.; Haubold, H. J.
23
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.
22
2011
A form of multivariate gamma distribution. Zbl 0760.62049
Mathai, A. M.; Moschopoulos, P. G.
22
1992
On noncentral generalized Laplacianness of quadratic forms in normal variables. Zbl 0783.62041
Mathai, A. M.
20
1993
Solutions of certain fractional kinetic equations and a fractional diffusion equation. Zbl 1314.35065
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
20
2010
Some properties of Mittag-Leffler functions and matrix-variate analogues: a statistical perspective. Zbl 1211.26007
Mathai, A. M.
17
2010
The exact distribution of Wilk’s criterion. Zbl 0216.21805
Mathai, A. M.; Rathie, P. N.
16
1971
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
Fractional and multivariable calculus. Model building and optimization problems. Zbl 1376.26001
Mathai, A. M.; Haubold, H. J.
15
2017
On a conjecture in geometric probability regarding asymptotic normality of a random simplex. Zbl 0479.60021
Mathai, A. M.
15
1982
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.
12
1966
Solutions of fractional reaction-diffusion equations in terms of Mittag-Leffler functions. Zbl 1153.34304
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
11
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.
10
2004
Erdélyi-Kober fractional calculus. From a statistical perspective, inspired by solar neutrino physics. Zbl 1412.81007
Mathai, A. M.; Haubold, H. J.
10
2018
Distribution of a product and the structural set up of densities. Zbl 0186.53003
Mathai, A. M.; Saxena, R. K.
10
1969
Exact percentage points for testing independence. Zbl 0407.62031
Mathai, A. M.; Katiyar, R. S.
10
1979
Mittag-Leffler functions to pathway model to Tsallis statistics. Zbl 1209.33010
Mathai, A. M.; Haubold, Hans J.
9
2010
On the distribution of the likelihood ratio criterion for testing linear hypotheses on regression coefficients. Zbl 0256.62062
Mathai, A. M.
9
1971
Fractional integral operators involving many matrix variables. Zbl 1286.45010
Mathai, A. M.
8
2014
The residual effect of a growth-decay mechanism and the distributions of covariance structures. Zbl 0785.62055
Mathai, A. M.
8
1993
Extensions of Wilks’ integral equations and distributions of test statistics. Zbl 0559.62039
Mathai, A. M.
8
1984
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
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
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
Structure of regular semigroups. II: Cross-connections. Ed. by A. M. Mathai. Zbl 0707.20019
Nambooripad, K. S. S.
8
1989
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.
7
2013
A few remarks about some recent articles on the exact distributions of multivariate test criteria. I. Zbl 0334.62019
Mathai, A. M.
7
1973
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
The exact distribution of Votaw’s criteria. Zbl 0218.62054
Mathai, A. M.; Rathie, P. N.
6
1970
The exact non-central distribution of the generalized variance. Zbl 0312.62045
Mathai, A. M.
6
1972
Fractional integral operators in the complex matrix variate case. Zbl 1283.45008
Mathai, A. M.
6
2013
Fractional operators in the matrix variate case. Zbl 1488.26020
Mathai, A.; Haubold, Hans
6
2013
Distribution of the canonical correlation matrix. Zbl 0471.62053
Mathai, A. M.
6
1981
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
Distributed order reaction-diffusion systems associated with Caputo derivatives. Zbl 1304.35751
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
5
2014
Fractional integrals in the matrix-variate cases and connection to statistical distributions. Zbl 1195.26016
Mathai, A. M.
5
2009
Multivariate and matrix-variate analogues of Maxwell-Boltzmann and Raleigh densities. Zbl 1400.62034
Mathai, A. M.; Princy, T.
5
2017
Random points associated with rectangles. Zbl 0949.60028
Mathai, A. M.; Moschopoulos, P.; Pederzoli, G.
4
1999
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 aspects of the gravitational instability problem for a multicomponent cosmological medium. Zbl 0809.70008
Haubold, H. J.; Mathai, A. M.
4
1994
Solar nuclear energy generation and the chlorine solar neutrino experiment. Zbl 0925.85001
Haubold, H. J.; Mathai, A. M.
4
1994
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.
4
2015
Constructing the sunflower head. Zbl 0279.92008
Mathai, A. M.; Davis, T. Anthony
4
1974
Some results on functions of matrix argument. Zbl 0319.33001
Mathai, A. M.
4
1978
Random volumes under a general matrix-variate model. Zbl 1162.15016
Mathai, A. M.
4
2007
On the singular gamma, Wishart, and beta matrix-variate density functions. Zbl 07759503
Mathai, Arak M.; Provost, Serge B.
4
2022
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
Matrix-variate statistical distributions and fractional calculus. Zbl 1273.15041
Mathai, A. M.; Haubold, H. J.
3
2011
Appell’s and Humbert’s functions of matrix arguments. Zbl 0769.33011
Mathai, A. M.
3
1993
Products and ratios of generalized gamma variates. Zbl 0256.62014
Mathai, A. M.
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
Dispersion and information. Zbl 0167.47602
Mathai, A. M.
3
1967
A short table of the generalized hypergeometric distribution. Zbl 0165.21903
Mathai, A. M.; Saxena, R. K.
3
1968
Generalized Krätzel integral and associated statistical densities. Zbl 1256.33010
Mathai, A. M.
3
2012
On linear functions of certain noncentral versions of independent gamma variables. Zbl 0746.62011
Mathai, A. M.
3
1992
An expansion of Meijer’s G-function in the logarithmic case with applications. Zbl 0193.17901
Mathai, A. M.
3
1971
The exact non-null distribution for testing equality of covariance matrices. Zbl 0487.62044
Mathai, A. M.; Rathie, P. N.
2
1980
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
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 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
Analogues of reliability analysis for matrix-variate cases. Zbl 1392.62306
Mathai, A. M.; Princy, T.
2
2017
On bilinear forms in normal variables. Zbl 0772.62027
Mathai, A. M.
2
1992
On fractional moments of quadratic expressions in normal variables. Zbl 0800.62260
Mathai, A. M.
2
1991
On thermonuclear reaction rates. Zbl 1026.85003
Haubold, H. J.; Mathai, A. M.
2
1998
Solar structure in terms of Gauss’ hypergeometric function. Zbl 0844.76081
Haubold, H. J.; Mathai, A. M.
2
1995
Hypergeometric functions of several matrix arguments. (A preliminary report). Zbl 0791.33013
Mathai, A. M.
2
1993
A Whittaker function of matrix argument. Zbl 0886.15025
Mathai, A. M.; Pederzoli, Giorgio
2
1998
Distance between random points in a cube. Zbl 0944.60017
Mathai, A. M.; Moschopoulos, P.; Pederzoli, G.
2
1999
Matrix methods and fractional calculus. Zbl 1407.26003
Mathai, Arak M.; Haubold, Hans J.
2
2018
On a random convex hull in an n-ball. Zbl 0553.60018
Mathai, A. M.; Tracy, D. S.
2
1983
Fractional differential operators in the complex matrix-variate case. Zbl 1312.15054
Mathai, A. M.
2
2015
Astrophysical thermonuclear functions. Zbl 1125.85316
Anderson, W. J.; Haubold, H. J.; Mathai, A. M.
2
1994
Some properties of matrix-variate Laplace transforms and matrix-variate Whittaker functions. Zbl 0865.44001
Mathai, A. M.; Pederzoli, Giorgio
2
1997
On the singular gamma, Wishart, and beta matrix-variate density functions. Zbl 07759503
Mathai, Arak M.; Provost, Serge B.
4
2022
Multivariate statistical analysis in the real and complex domains. Zbl 07504331
Mathai, Arak M.; Provost, Serge B.; Haubold, Hans J.
2
2022
Erdélyi-Kober fractional calculus. From a statistical perspective, inspired by solar neutrino physics. Zbl 1412.81007
Mathai, A. M.; Haubold, H. J.
10
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.
15
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.
5
2017
Analogues of reliability analysis for matrix-variate cases. Zbl 1392.62306
Mathai, A. M.; Princy, T.
2
2017
Linear algebra. A course for physicists and engineers. Zbl 1509.15001
Mathai, Arak M.; Haubold, Hans J.
1
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.
4
2015
Fractional differential operators in the complex matrix-variate case. Zbl 1312.15054
Mathai, A. M.
2
2015
Fractional integral operators involving many matrix variables. Zbl 1286.45010
Mathai, A. M.
8
2014
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
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.
7
2013
Fractional integral operators in the complex matrix variate case. Zbl 1283.45008
Mathai, A. M.
6
2013
Fractional operators in the matrix variate case. Zbl 1488.26020
Mathai, A.; Haubold, Hans
6
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.
335
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.
22
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.
209
2010
Solutions of the fractional reaction equation and the fractional diffusion equation. Zbl 1223.85008
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
93
2010
Solutions of certain fractional kinetic equations and a fractional diffusion equation. Zbl 1314.35065
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
20
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.
9
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.
5
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.
195
2008
On generalized distributions and pathways. Zbl 1220.62167
Mathai, A. M.; Haubold, H. J.
23
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.
2
2008
Random volumes under a general matrix-variate model. Zbl 1162.15016
Mathai, A. M.
4
2007
Solution of generalized fractional reaction-diffusion equations. Zbl 1105.35309
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
35
2006
Fractional reaction-diffusion equations. Zbl 1105.35307
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
34
2006
Reaction-diffusion systems and nonlinear waves. Zbl 1105.35308
Saxena, R. K.; Mathai, A. M.; Haubold, H. J.
29
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.
11
2006
A pathway to matrix-variate gamma and normal densities. Zbl 1084.62044
Mathai, A. M.
74
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.
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.
66
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.
34
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.
4
1999
Distance between random points in a cube. Zbl 0944.60017
Mathai, A. M.; Moschopoulos, P.; Pederzoli, G.
2
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.
96
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
39
1995
Solar structure in terms of Gauss’ hypergeometric function. Zbl 0844.76081
Haubold, H. J.; Mathai, A. M.
2
1995
Computational aspects of the gravitational instability problem for a multicomponent cosmological medium. Zbl 0809.70008
Haubold, H. J.; Mathai, A. M.
4
1994
Solar nuclear energy generation and the chlorine solar neutrino experiment. Zbl 0925.85001
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.
136
1993
On noncentral generalized Laplacianness of quadratic forms in normal variables. Zbl 0783.62041
Mathai, A. M.
20
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
Generalized Laplace distribution with applications. Zbl 0877.60014
Mathai, A. M.
1
1993
Quadratic forms in random variables. Theory and applications. Zbl 0792.62045
Mathai, A. M.; Provost, Serge B.
216
1992
A form of multivariate gamma distribution. Zbl 0760.62049
Mathai, A. M.; Moschopoulos, P. G.
22
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.
32
1991
On fractional moments of quadratic expressions in normal variables. Zbl 0800.62260
Mathai, A. M.
2
1991
Structure of regular semigroups. II: Cross-connections. Ed. by A. M. Mathai. Zbl 0707.20019
Nambooripad, K. S. S.
8
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.
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.
39
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
...and 43 more Documents
all top 5

Cited by 2,453 Authors

71 Mathai, Arakaparampli Mathai
39 Saxena, Ram Kishore
29 Haubold, Hans Joachim
28 Nadarajah, Saralees
28 Sooppy Nisar, Kottakkaran
25 Agarwal, Praveen
25 Sandev, Trifce
24 Băleanu, Dumitru I.
24 Srivastava, Hari Mohan
22 Provost, Serge B.
21 Purohit, Sunil Dutt
21 Suthar, Daya Lal
20 Rathie, Pushpa Narayan
19 Kaminski Lenzi, Ervin
16 Metzler, Ralf
15 Bansal, Manish Kumar
15 Bodnar, Taras
15 Kumar, C. Satheesh
15 Machado, José António Tenreiro
14 Choi, Junesang
14 Leonenko, Nikolai N.
14 Mehrez, Khaled
13 Chechkin, Aleksei V.
13 Farid, Ghulam
13 Kalla, Shyam Lal
13 Kumar, Dinesh
13 Pogány, Tibor K.
13 Schmid, Wolfgang
12 Gupta, Arjun Kumar
12 Kumar, Devendra
12 Mainardi, Francesco
12 Pederzoli, Giorgio
12 Polito, Federico
12 Rahman, Gauhar
12 Tomovski, Živorad
12 Xu, Mingyu
11 Abdalla, Mohamed
11 de Oliveira, Edmundo Capelas
11 Gil, María Angeles
11 Kiryakova, Virginia S.
11 Milne, Stephen C.
11 Mubeen, Shahid
10 Bekker, Andriëtte
10 Bieniek, Mariusz
10 Chand, Mehar
10 Díaz-García, José Antonio
10 Ghanim, Firas
10 Kilbas, Anatoliĭ Aleksandrovich
10 Nagar, Daya K.
10 Parmar, Rakesh Kumar
10 Pham-Gia, Thu
10 Shukla, Ajay Kumar
9 Al-Omari, Shrideh Khalaf Qasem
9 Arashi, Mohammad
9 Beghin, Luisa
9 Orsingher, Enzo
9 Sitnik, Sergei Mihailovich
8 Agarwal, Ritu
8 Cramer, Erhard
8 Fernandez, Arran
8 Gajda, Janusz
8 Garrappa, Roberto
8 Jain, Shilpi
8 Jose, Kanichukattu Korakutty
8 Kumar, Dilip
8 Pagnini, Gianni
8 Prajapati, Jyotindra C.
8 Singh, Jagdev
8 Wyłomańska, Agnieszka
7 Abdeljawad, Thabet
7 Dong, Jianping
7 Evangelista, Luiz Roberto
7 Ferreira, Milton Dos Santos
7 Furman, Edward
7 Gaboury, Sébastien
7 Henry, Bruce I.
7 Iomin, Alexander
7 Kataria, Kuldeep Kumar
7 Petreska, Irina
7 Princy, T.
7 Ribeiro, Haroldo V.
7 Roux, Jacobus J. J.
7 Sebastian, Nicy
7 Sikora, Grzegorz
6 Arshad, Muhammad
6 Coelho, Carlos Agra
6 Duong Thanh Phong
6 El-Nabulsi, Rami Ahmad
6 Garra, Roberto
6 Górska, Katarzyna
6 Khan, Nabiullah U.
6 Khushtova, Fatima Gidovna
6 Landsman, Zinoviy M.
6 Mazur, Stepan
6 Nkiet, Guy Martial
6 Pandey, Rupakshi Mishra
6 Parolya, Nestor R.
6 Ponce, Rodrigo
6 Popov, Dušan
6 Riyaz, A.
...and 2,353 more Authors
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Cited in 464 Serials

77 Communications in Statistics. Theory and Methods
54 Fractional Calculus & Applied Analysis
52 Journal of Multivariate Analysis
45 Journal of Mathematical Physics
42 Integral Transforms and Special Functions
41 Applied Mathematics and Computation
35 Physica A
35 Statistics & Probability Letters
35 Communications in Nonlinear Science and Numerical Simulation
27 Mathematical Methods in the Applied Sciences
27 Journal of Computational and Applied Mathematics
27 Linear Algebra and its Applications
27 Advances in Difference Equations
26 Chaos, Solitons and Fractals
26 Statistics
22 Annals of the Institute of Statistical Mathematics
22 Journal of Physics A: Mathematical and Theoretical
21 Journal of Statistical Computation and Simulation
20 Computers & Mathematics with Applications
19 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
15 Statistical Papers
15 Mathematical Problems in Engineering
14 American Journal of Mathematical and Management Sciences
14 Nonlinear Dynamics
13 Journal of Statistical Physics
12 Metrika
12 Physics Letters. A
11 The Canadian Journal of Statistics
11 Journal of Applied Probability
11 Statistica
11 Journal of Statistical Mechanics: Theory and Experiment
11 Journal of Ramanujan Society of Mathematics and Mathematical Sciences
10 Astrophysics and Space Science
10 Computational Statistics and Data Analysis
10 Communications of the Korean Mathematical Society
10 Electronic Journal of Statistics
10 Journal of Function Spaces
10 AIMS Mathematics
9 Applied Mathematical Modelling
9 Stochastic Processes and their Applications
9 Journal of Inequalities and Applications
9 Chaos
9 South East Asian Journal of Mathematics and Mathematical Sciences
9 Advances in Mathematical Physics
9 Journal of Mathematics
8 Applied Mathematics Letters
8 Lobachevskii Journal of Mathematics
8 Boletim da Sociedade Paranaense de Matemática. Terceira Série
8 Mathematics
7 International Journal of Theoretical Physics
7 Linear and Multilinear Algebra
7 Reports on Mathematical Physics
7 Advances in Mathematics
7 Theory of Probability and Mathematical Statistics
7 Computational and Applied Mathematics
7 Methodology and Computing in Applied Probability
7 Brazilian Journal of Probability and Statistics
7 Journal of Statistical Theory and Practice
7 Discrete and Continuous Dynamical Systems. Series S
6 Journal of the Franklin Institute
6 Rocky Mountain Journal of Mathematics
6 Scandinavian Journal of Statistics
6 Automatica
6 Information Sciences
6 Mathematics and Computers in Simulation
6 Insurance Mathematics & Economics
6 Mathematical Modelling of Natural Phenomena
6 Sankhyā. Series A
5 Results in Mathematics
5 Journal of Integral Equations and Applications
5 European Journal of Operational Research
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 The Journal of Analysis
5 Georgian Mathematical Journal
5 Fractals
5 New Journal of Physics
5 Analysis (München)
5 Nonlinear Analysis. Real World Applications
5 International Journal of Differential Equations
5 Random Matrices: Theory and Applications
5 Palestine Journal of Mathematics
4 Ukrainian Mathematical Journal
4 Fuzzy Sets and Systems
4 Journal of Functional Analysis
4 Bulletin of the Korean Mathematical Society
4 Stochastic Analysis and Applications
4 Physica D
4 Journal of Theoretical Probability
4 The Annals of Applied Probability
4 Aequationes Mathematicae
4 International Journal of Computer Mathematics
4 Russian Journal of Mathematical Physics
4 Turkish Journal of Mathematics
4 Advances in Computational Mathematics
4 Journal of Applied Statistics
...and 364 more Serials
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Cited in 56 Fields

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