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van Doorn, Erik A.

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Author ID: van-doorn.erik-a Recent zbMATH articles by "van Doorn, Erik A."
Published as: Van Doorn, Erik A.; van Doorn, E.; van Doorn, E. A.; van Doorn, Erik; van Doorn, Erik A.
External Links: ORCID
Documents Indexed: 65 Publications since 1980, including 1 Book
Reviewing Activity: 216 Reviews

Publications by Year

Citations contained in zbMATH

59 Publications have been cited 608 times in 402 Documents Cited by Year
Quasi-stationary distributions and convergence to quasi-stationarity of birth-death processes. Zbl 0736.60076
van Doorn, Erik A.
68
1991
Conditions for exponential ergodicity and bounds for the decay parameter of a birth-death process. Zbl 0597.60080
van Doorn, Erik A.
50
1985
Quasi-stationary distributions for discrete-state models. Zbl 1317.60093
van Doorn, Erik A.; Pollett, Philip K.
29
2013
Representations and bounds for zeros of orthogonal polynomials and eigenvalues of sign-symmetric tri-diagonal matrices. Zbl 0636.42023
van Doorn, Erik A.
26
1987
The deviation matrix of a continuous-time Markov chain. Zbl 1011.60057
Coolen-Schrijner, Pauline; van Doorn, Erik A.
25
2002
Conditional PASTA. Zbl 0659.60128
van Doorn, Erik A.; Regterschot, G. J. K.
20
1988
On the continued Erlang loss function. Zbl 0595.60089
Jagers, A. A.; van Doorn, Erik A.
20
1986
Connectivity of circulant digraphs. Zbl 0594.05042
van Doorn, Erik A.
20
1986
Bounds and asymptotics for the rate of convergence of birth-death processes. Zbl 1204.60083
van Doorn, E. A.; Zeifman, A. I.; Panfilova, T. L.
18
2009
Quasi-stationary distributions for reducible absorbing Markov chains in discrete time. Zbl 1184.60026
van Doorn, E. A.; Pollett, P. K.
18
2009
Extinction probability in a birth-death process with killing. Zbl 1083.60071
van Doorn, Erik A.; Zeifman, Alexander I.
18
2005
Stochastic monotonicity and queueing applications of birth-death processes. Zbl 0454.60069
van Doorn, Erik
17
1980
Geometric ergodicity and quasi-stationarity in discrete-time birth-death processes. Zbl 0856.60080
van Doorn, Erik A.; Schrijner, Pauline
16
1995
Survival in a quasi-death process. Zbl 1148.60056
van Doorn, Erik A.; Pollett, Philip K.
14
2008
Birth-death processes with killing. Zbl 1065.60121
van Doorn, Erik A.; Zeifman, Alexander I.
14
2005
On oscillation properties and the interval of orthogonality of orthogonal polynomials. Zbl 0551.42009
van Doorn, Erik A.
14
1984
Families of birth-death processes with similar time-dependent behaviour. Zbl 0973.60087
Lenin, R. B.; Parthasarathy, P. R.; Scheinhardt, W. R. W.; van Doorn, E. A.
13
2000
The transient state probabilities for a queueing model where potential customers are discouraged by queue length. Zbl 0457.60070
van Doorn, Erik A.
13
1981
On the speed of convergence to stationarity of the Erlang loss system. Zbl 1209.90122
van Doorn, Erik A.; Zeifman, Alexander I.
12
2009
A fluid reservoir regulated by a birth-death process. Zbl 0666.60088
van Doorn, E. A.; Jagers, A. A.; de Wit, J. S. J.
12
1988
Limiting conditional distributions for birth-death processes. Zbl 0882.60083
Kijima, M.; Nair, M. G.; Pollett, P. K.; van Doorn, E. A.
11
1997
Birth-death processes and associated polynomials. Zbl 1039.60079
van Doorn, Erik A.
10
2003
Stochastic monotonicity of birth-death processes. Zbl 0421.60075
van Doorn, Erik A.
10
1980
Quasi-stationary distributions for a class of discrete-time Markov chains. Zbl 1106.60064
Coolen-Schrijner, Pauline; van Doorn, Erik A.
9
2006
Ratio limits and limiting conditional distributions for discrete-time birth-death processes. Zbl 0821.60088
van Doorn, Erik A.; Schrijner, Pauline
9
1995
Relaxation times for queueing systems. Zbl 0597.60097
Blanc, J. P. C.; van Doorn, E. A.
9
1986
Random walk polynomials and random walk measures. Zbl 0789.60056
van Doorn, Erik A.; Schrijner, Pauline
8
1993
Analysis of random walks using orthogonal polynomials. Zbl 0930.60064
Coolen-Schrijner, Pauline; van Doorn, Erik A.
7
1998
On the overflow process from a finite Markovian queue. Zbl 0551.90022
van Doorn, Erik A.
7
1984
On associated polynomials and decay rates for birth–death processes. Zbl 1041.42021
van Doorn, Erik A.
6
2003
On the convergence to stationarity of birth-death processes. Zbl 0999.60080
Coolen-Schrijner, Pauline; van Doorn, Erik A.
6
2001
Analysis of a single-server queue interacting with a fluid reservoir. Zbl 0916.90103
Adan, I. J. B. F.; van Doorn, E. A.; Resing, J. A. C.; Scheinhardt, W. R. W.
6
1998
Representations for the decay parameter of a birth-death process based on the Courant-Fischer theorem. Zbl 1315.60094
van Doorn, Erik A.
5
2015
Conditions for the existence of quasi-stationary distributions for birth-death processes with killing. Zbl 1253.60091
van Doorn, Erik A.
5
2012
Quasi-stationary distributions for birth-death processes with killing. Zbl 1147.60323
Coolen-Schrijner, Pauline; van Doorn, Erik A.
5
2006
Representations for the rate of convergence of birth-death processes. Zbl 1026.60100
van Doorn, Erik A.
5
2001
On orthogonal polynomials with positive zeros and the associated kernel polynomials. Zbl 0593.42011
van Doorn, Erik A.
5
1986
Spectral properties of birth-death polynomials. Zbl 1322.42033
van Doorn, Erik A.
4
2015
Representations for the extreme zeros of orthogonal polynomials. Zbl 1174.42033
van Doorn, Erik A.; van Foreest, Nicky D.; Zeifman, Alexander I.
4
2009
Orthogonal polynomials on \(\mathbb R^+\) and birth-death processes with killing. Zbl 1214.42041
Coolen-Schrijner, Pauline; van Doorn, Erik A.
4
2007
On the “PASTA” property and a further relationship between customer and the time averages in stationary queuing systems. Zbl 0671.60096
König, D.; Schmidt, V.; van Doorn, E. A.
4
1989
The indeterminate rate problem for birth-death processes. Zbl 0599.60078
van Doorn, Erik A.
4
1987
Asymptotic period of an aperiodic Markov chain. Zbl 1411.60108
van Doorn, E. A.
3
2018
On the \(\alpha\)-classification of birth-death and quasi-birth-death processes. Zbl 1141.60051
van Doorn, Erik A.
3
2006
Weighted sums of orthogonal polynomials with positive zeros. Zbl 0847.42020
Kijima, Masaaki; van Doorn, Erik A.
3
1995
Inequalities for Charlier polynomials with application to teletraffic theory. Zbl 0648.60094
Mehta, Madan Lal; van Doorn, Erik A.
3
1988
On a class of generalized orthogonal polynomials with real zeros. Zbl 0876.33008
van Doorn, Erik A.
2
1991
Some aspects of the peakedness concept in teletraffic theory. Zbl 0597.90033
van Doorn, Erik A.
2
1986
On the time dependent behaviour of the truncated birth-death process. Zbl 0463.60071
van Doorn, Erik A.
2
1981
On the strong ratio limit property for discrete-time birth-death processes. Zbl 1391.60217
van Doorn, Erik A.
1
2018
An orthogonal-polynomial approach to first-hitting times of birth-death processes. Zbl 1386.60299
van Doorn, Erik A.
1
2017
A note on the GI/GI/\(\infty\) system with identical service and interarrival-time distributions. Zbl 1060.60092
van Doorn, E. A.; Jagers, A. A.
1
2004
Traffic modeling in a reconfigurable broadband nomadic computing environment. Zbl 1014.68024
Malhotra, R.; Dey, D.; van Doorn, E. A.; Koonen, A. M. J.
1
2002
Uniformization for \(\lambda\)-positive Markov chain. Zbl 0899.60066
Boucherie, Richard J.; van Doorn, Erik A.
1
1998
Weak convergence of conditioned birth-death processes in discrete time. Zbl 0874.60079
Schrijner, Pauline; van Doorn, Erik A.
1
1997
Some new results for chain-sequence polynomials. Zbl 0823.42015
van Doorn, Erik A.
1
1995
Orthogonal polynomials and birth-death processes. Zbl 0672.60085
van Doorn, Erik A.
1
1989
Qeueing analysis of a discrete closed-loop conveyor with service facilities. Zbl 0671.60084
van Arem, B.; van Doorn, E. A.; Meijer, T. M. J.
1
1989
A note on orthogonal polynomials and oscillation criteria for second order linear difference equations. Zbl 0603.39001
van Doorn, Erik A.
1
1986
Asymptotic period of an aperiodic Markov chain. Zbl 1411.60108
van Doorn, E. A.
3
2018
On the strong ratio limit property for discrete-time birth-death processes. Zbl 1391.60217
van Doorn, Erik A.
1
2018
An orthogonal-polynomial approach to first-hitting times of birth-death processes. Zbl 1386.60299
van Doorn, Erik A.
1
2017
Representations for the decay parameter of a birth-death process based on the Courant-Fischer theorem. Zbl 1315.60094
van Doorn, Erik A.
5
2015
Spectral properties of birth-death polynomials. Zbl 1322.42033
van Doorn, Erik A.
4
2015
Quasi-stationary distributions for discrete-state models. Zbl 1317.60093
van Doorn, Erik A.; Pollett, Philip K.
29
2013
Conditions for the existence of quasi-stationary distributions for birth-death processes with killing. Zbl 1253.60091
van Doorn, Erik A.
5
2012
Bounds and asymptotics for the rate of convergence of birth-death processes. Zbl 1204.60083
van Doorn, E. A.; Zeifman, A. I.; Panfilova, T. L.
18
2009
Quasi-stationary distributions for reducible absorbing Markov chains in discrete time. Zbl 1184.60026
van Doorn, E. A.; Pollett, P. K.
18
2009
On the speed of convergence to stationarity of the Erlang loss system. Zbl 1209.90122
van Doorn, Erik A.; Zeifman, Alexander I.
12
2009
Representations for the extreme zeros of orthogonal polynomials. Zbl 1174.42033
van Doorn, Erik A.; van Foreest, Nicky D.; Zeifman, Alexander I.
4
2009
Survival in a quasi-death process. Zbl 1148.60056
van Doorn, Erik A.; Pollett, Philip K.
14
2008
Orthogonal polynomials on \(\mathbb R^+\) and birth-death processes with killing. Zbl 1214.42041
Coolen-Schrijner, Pauline; van Doorn, Erik A.
4
2007
Quasi-stationary distributions for a class of discrete-time Markov chains. Zbl 1106.60064
Coolen-Schrijner, Pauline; van Doorn, Erik A.
9
2006
Quasi-stationary distributions for birth-death processes with killing. Zbl 1147.60323
Coolen-Schrijner, Pauline; van Doorn, Erik A.
5
2006
On the \(\alpha\)-classification of birth-death and quasi-birth-death processes. Zbl 1141.60051
van Doorn, Erik A.
3
2006
Extinction probability in a birth-death process with killing. Zbl 1083.60071
van Doorn, Erik A.; Zeifman, Alexander I.
18
2005
Birth-death processes with killing. Zbl 1065.60121
van Doorn, Erik A.; Zeifman, Alexander I.
14
2005
A note on the GI/GI/\(\infty\) system with identical service and interarrival-time distributions. Zbl 1060.60092
van Doorn, E. A.; Jagers, A. A.
1
2004
Birth-death processes and associated polynomials. Zbl 1039.60079
van Doorn, Erik A.
10
2003
On associated polynomials and decay rates for birth–death processes. Zbl 1041.42021
van Doorn, Erik A.
6
2003
The deviation matrix of a continuous-time Markov chain. Zbl 1011.60057
Coolen-Schrijner, Pauline; van Doorn, Erik A.
25
2002
Traffic modeling in a reconfigurable broadband nomadic computing environment. Zbl 1014.68024
Malhotra, R.; Dey, D.; van Doorn, E. A.; Koonen, A. M. J.
1
2002
On the convergence to stationarity of birth-death processes. Zbl 0999.60080
Coolen-Schrijner, Pauline; van Doorn, Erik A.
6
2001
Representations for the rate of convergence of birth-death processes. Zbl 1026.60100
van Doorn, Erik A.
5
2001
Families of birth-death processes with similar time-dependent behaviour. Zbl 0973.60087
Lenin, R. B.; Parthasarathy, P. R.; Scheinhardt, W. R. W.; van Doorn, E. A.
13
2000
Analysis of random walks using orthogonal polynomials. Zbl 0930.60064
Coolen-Schrijner, Pauline; van Doorn, Erik A.
7
1998
Analysis of a single-server queue interacting with a fluid reservoir. Zbl 0916.90103
Adan, I. J. B. F.; van Doorn, E. A.; Resing, J. A. C.; Scheinhardt, W. R. W.
6
1998
Uniformization for \(\lambda\)-positive Markov chain. Zbl 0899.60066
Boucherie, Richard J.; van Doorn, Erik A.
1
1998
Limiting conditional distributions for birth-death processes. Zbl 0882.60083
Kijima, M.; Nair, M. G.; Pollett, P. K.; van Doorn, E. A.
11
1997
Weak convergence of conditioned birth-death processes in discrete time. Zbl 0874.60079
Schrijner, Pauline; van Doorn, Erik A.
1
1997
Geometric ergodicity and quasi-stationarity in discrete-time birth-death processes. Zbl 0856.60080
van Doorn, Erik A.; Schrijner, Pauline
16
1995
Ratio limits and limiting conditional distributions for discrete-time birth-death processes. Zbl 0821.60088
van Doorn, Erik A.; Schrijner, Pauline
9
1995
Weighted sums of orthogonal polynomials with positive zeros. Zbl 0847.42020
Kijima, Masaaki; van Doorn, Erik A.
3
1995
Some new results for chain-sequence polynomials. Zbl 0823.42015
van Doorn, Erik A.
1
1995
Random walk polynomials and random walk measures. Zbl 0789.60056
van Doorn, Erik A.; Schrijner, Pauline
8
1993
Quasi-stationary distributions and convergence to quasi-stationarity of birth-death processes. Zbl 0736.60076
van Doorn, Erik A.
68
1991
On a class of generalized orthogonal polynomials with real zeros. Zbl 0876.33008
van Doorn, Erik A.
2
1991
On the “PASTA” property and a further relationship between customer and the time averages in stationary queuing systems. Zbl 0671.60096
König, D.; Schmidt, V.; van Doorn, E. A.
4
1989
Orthogonal polynomials and birth-death processes. Zbl 0672.60085
van Doorn, Erik A.
1
1989
Qeueing analysis of a discrete closed-loop conveyor with service facilities. Zbl 0671.60084
van Arem, B.; van Doorn, E. A.; Meijer, T. M. J.
1
1989
Conditional PASTA. Zbl 0659.60128
van Doorn, Erik A.; Regterschot, G. J. K.
20
1988
A fluid reservoir regulated by a birth-death process. Zbl 0666.60088
van Doorn, E. A.; Jagers, A. A.; de Wit, J. S. J.
12
1988
Inequalities for Charlier polynomials with application to teletraffic theory. Zbl 0648.60094
Mehta, Madan Lal; van Doorn, Erik A.
3
1988
Representations and bounds for zeros of orthogonal polynomials and eigenvalues of sign-symmetric tri-diagonal matrices. Zbl 0636.42023
van Doorn, Erik A.
26
1987
The indeterminate rate problem for birth-death processes. Zbl 0599.60078
van Doorn, Erik A.
4
1987
On the continued Erlang loss function. Zbl 0595.60089
Jagers, A. A.; van Doorn, Erik A.
20
1986
Connectivity of circulant digraphs. Zbl 0594.05042
van Doorn, Erik A.
20
1986
Relaxation times for queueing systems. Zbl 0597.60097
Blanc, J. P. C.; van Doorn, E. A.
9
1986
On orthogonal polynomials with positive zeros and the associated kernel polynomials. Zbl 0593.42011
van Doorn, Erik A.
5
1986
Some aspects of the peakedness concept in teletraffic theory. Zbl 0597.90033
van Doorn, Erik A.
2
1986
A note on orthogonal polynomials and oscillation criteria for second order linear difference equations. Zbl 0603.39001
van Doorn, Erik A.
1
1986
Conditions for exponential ergodicity and bounds for the decay parameter of a birth-death process. Zbl 0597.60080
van Doorn, Erik A.
50
1985
On oscillation properties and the interval of orthogonality of orthogonal polynomials. Zbl 0551.42009
van Doorn, Erik A.
14
1984
On the overflow process from a finite Markovian queue. Zbl 0551.90022
van Doorn, Erik A.
7
1984
The transient state probabilities for a queueing model where potential customers are discouraged by queue length. Zbl 0457.60070
van Doorn, Erik A.
13
1981
On the time dependent behaviour of the truncated birth-death process. Zbl 0463.60071
van Doorn, Erik A.
2
1981
Stochastic monotonicity and queueing applications of birth-death processes. Zbl 0454.60069
van Doorn, Erik
17
1980
Stochastic monotonicity of birth-death processes. Zbl 0421.60075
van Doorn, Erik A.
10
1980
all top 5

Cited by 534 Authors

28 van Doorn, Erik A.
27 Zeifman, Alexander Izrailevich
11 Mandjes, Michel Robertus Hendrikus
10 Pollett, Philip K.
9 Artalejo, Jesus R.
9 Li, Junping
8 Lopez-Herrero, Maria Jesus
8 Zhang, Hanjun
7 Economou, Antonis
7 Hautphenne, Sophie
7 Korolev, Viktor Yur’evich
7 Parthasarathy, Panamalai Ramarao
7 Villemonais, Denis
6 Chen, Anyue
6 Giorno, Virginia
6 Hwang, Frank Kwangming
6 Mao, Yonghua
6 Martinez Aguilera, Servet
6 Nobile, Amelia G.
6 Satin, Yacov
6 van Leeuwaarden, Johan S. H.
5 Champagnat, Nicolas
5 Chihara, Theodore Seio
5 Collet, Pierre
5 Coolen-Schrijner, Pauline
5 Di Crescenzo, Antonio
5 Korotysheva, Anna
5 Latouche, Guy
5 Méléard, Sylvie
5 Taylor, Peter Gerrard
5 Van Assche, Walter
4 Chen, Jinwen
4 Chen, Mu-Fa
4 Clancy, Damian
4 De Turck, Koen
4 Diaconis, Persi Warren
4 El-Taha, Muhammad
4 Ismail, Mourad El-Houssieny
4 Kijima, Masaaki
4 Liu, Yuanyuan
4 Liu, Yuanyuan
4 Meng, Jixiang
4 Razumchik, Rostislav V.
4 San Martín, Jaime
4 Scheinhardt, Werner R. W.
3 Blom, Joke G.
3 Dette, Holger
3 Guessab, Allal
3 Hou, Zhenting
3 Kiseleva, Ksenia
3 Knessl, Charles
3 Lenin, R. B.
3 Ng, Kai Wang
3 Satin, Ya. A.
3 Stidham, Shaler jun.
3 van Foreest, Nicky D.
3 Zhang, Lina
3 Zwart, Bert P.
2 Amador, Julia
2 Area, Iván
2 Barbour, Andrew D.
2 Baron, Opher
2 Beckermann, Bernhard
2 Boxma, Onno Johan
2 Braunsteins, Peter
2 Britton, Tom
2 Choi, Michael C. H.
2 Colonius, Fritz
2 Coolen, Frank P. A.
2 Craveirinha, José F.
2 Crossman, Richard J.
2 Csáki, Endre
2 Dharmaraja, selvamuthu
2 Dominici, Diego Ernesto
2 Economou, A. Ph.
2 Esteves, Jorge Sá
2 Evans, Steven Neil
2 Földes, Antónia
2 Fralix, Brian H.
2 Gómez-Corral, Antoni
2 Gout, Christian
2 Granovsky, Boris L.
2 Grassmann, Winfried K.
2 Griffin, Adam
2 Guo, Guangbao
2 Hart, Andrew G.
2 Hasenbein, John J.
2 Haviv, Moshe
2 Heidergott, Bernd F.
2 Huang, Qiongxiang
2 Ivanchenko, Mikhail V.
2 Jansen, H. M.
2 Janssen, Augustus Josephus Elizabeth Maria
2 Jian, Siqi
2 Joulin, Aldéric
2 Keilson, Julian
2 Kella, Offer
2 Kerner, Yoav
2 Khare, Kshitij
2 Kiseleva, K. M.
...and 434 more Authors
all top 5

Cited in 122 Serials

33 Queueing Systems
19 Stochastic Processes and their Applications
17 Journal of Computational and Applied Mathematics
17 Stochastic Models
15 Journal of Applied Probability
14 Journal of Mathematical Analysis and Applications
12 Advances in Applied Probability
12 Statistics & Probability Letters
11 Probability in the Engineering and Informational Sciences
9 Mathematical and Computer Modelling
8 Applied Mathematics and Computation
8 Methodology and Computing in Applied Probability
7 Operations Research Letters
7 The Annals of Applied Probability
7 European Journal of Operational Research
7 Linear Algebra and its Applications
7 Journal of Mathematical Sciences (New York)
6 Mathematical Biosciences
6 Journal of Approximation Theory
6 Journal of Theoretical Probability
6 Science China. Mathematics
5 Computers & Mathematics with Applications
5 Probability Theory and Related Fields
5 Automation and Remote Control
5 Frontiers of Mathematics in China
4 Journal of Mathematical Biology
4 Proceedings of the American Mathematical Society
4 Theoretical Population Biology
3 Discrete Mathematics
3 Mathematics of Computation
3 Stochastic Analysis and Applications
3 Journal of Applied Mathematics and Stochastic Analysis
3 Annals of Operations Research
3 Applied Mathematics. Series B (English Edition)
3 Electronic Journal of Probability
3 Mathematical Methods of Operations Research
3 Journal of Theoretical Biology
2 Networks
2 Operations Research
2 Theoretical Computer Science
2 Computers & Operations Research
2 Science in China. Series A
2 International Journal of Computer Mathematics
2 Acta Mathematica Sinica. New Series
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Complexity
2 Journal of Difference Equations and Applications
2 Electronic Communications in Probability
2 Bernoulli
2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
2 International Journal of Applied Mathematics and Computer Science
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Journal of Biological Dynamics
2 Advances in Operations Research
1 Discrete Applied Mathematics
1 Information Processing Letters
1 Journal of the Franklin Institute
1 Journal of Statistical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physica A
1 Problems of Information Transmission
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Mathematical Physics
1 Ukrainian Mathematical Journal
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 The Annals of Probability
1 Archiv der Mathematik
1 Calcolo
1 Journal of Statistical Planning and Inference
1 Mathematics and Computers in Simulation
1 Metroeconomica
1 Naval Research Logistics
1 Opsearch
1 Ricerche di Matematica
1 Siberian Mathematical Journal
1 Transactions of the American Mathematical Society
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Systems & Control Letters
1 American Journal of Mathematical and Management Sciences
1 Optimization
1 Graphs and Combinatorics
1 Statistical Science
1 SIAM Journal on Matrix Analysis and Applications
1 MCSS. Mathematics of Control, Signals, and Systems
1 Discrete Event Dynamic Systems
1 Applied Mathematical Modelling
1 Journal of Statistical Computation and Simulation
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Review
1 Journal of Algebraic Combinatorics
1 Potential Analysis
1 Statistical Papers
1 Top
1 Discrete and Continuous Dynamical Systems
1 INFORMS Journal on Computing
1 Journal of Nonparametric Statistics
1 The Ramanujan Journal
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
...and 22 more Serials

Citations by Year