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Vuorinen, Matti Keijo Kustaa

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Author ID: vuorinen.matti-k Recent zbMATH articles by "Vuorinen, Matti Keijo Kustaa"
Published as: Vuorinen, Matti; Vuorinen, M.; Vuorinen, Matti K.; Vourinen, Matti; Vuorinen, M. K.
Homepage: http://users.utu.fi/vuorinen/
External Links: MGP · Wikidata · ResearchGate · IdRef
Documents Indexed: 244 Publications since 1976, including 3 Books
4 Contributions as Editor
Reviewing Activity: 383 Reviews
Biographic References: 1 Publication
Co-Authors: 114 Co-Authors with 212 Joint Publications
1,821 Co-Co-Authors
all top 5

Co-Authors

36 single-authored
40 Martio, Olli
29 Vamanamurthy, Mavina Krishna
28 Anderson, Glen Douglas
21 Miklyukov, Vladimir Mikhaiĭlovich
19 Klén, Riku
17 Ponnusamy, Saminathan
15 Gutlyanskiĭ, Vladimir Ya.
14 Qiu, Songliang
13 Ryazanov, Vladimir Il’ich
11 Zhang, Xiaohui
10 Li, Yaxiang
10 Rasila, Antti
9 Sugawa, Toshiyuki
9 Wang, Gendi
8 Nasser, Mohamed M. S.
7 Hariri, Parisa
6 Bhayo, Barkat Ali
6 Rainio, Oona
6 Wang, Xiantao
5 Dovgoshey, Oleksiy Alfredovich
5 Dubinin, Vladimir N.
5 Hakula, Harri
5 Simić, Slavko
4 Hästö, Peter A.
4 Kalaj, David
4 Todorčević, Vesna
3 Balasubramanian, Ramachandran
3 Baricz, Árpád
3 Chen, Shaolin
3 Fujimura, Masayo
3 Heikkala, Ville
3 Huang, Manzi
3 Mocanu, Marcelina
3 Vasudevarao, Allu
3 Zhou, Qingshan
2 Betsakos, Dimitrios
2 Beznea, Lucian
2 Gheondea, Aurelian
2 Järvi, Pentti
2 Lehtinen, Matti
2 Lindén, Henri
2 Nasyrov, Semen R.
2 Sahoo, Swadesh Kumar
2 Solynin, Alexander Yu.
1 Arsenović, Miloš
1 Aseev, Vladislav Vasil’evich
1 Avkhadiev, Farit Gabidinovich
1 Barnard, Roger W.
1 Bezrodnykh, Sergeĭ I.
1 Bishop, Christopher James
1 Bogatyrev, Andrei Borisovich
1 Bojarski, Bogdan
1 Botvinnik, V. A.
1 Božin, Vladimir
1 Chen, Jiaolong
1 Chirka, Evgeni M.
1 Dautova, D. N.
1 Fehlmann, Richard
1 Franke, Dirk Christoph
1 Golberg, Anatoly
1 Gol’dstein, Vladimir Mikailovitch
1 Goreinov, Sergei A.
1 Goryainov, Viktor V.
1 Grigor’ev, Oleg
1 Grigor’yan, Alexander Asaturovich
1 Hariri, Parosa
1 Herron, David A.
1 Hokuni, S.
1 Joiţa, Cezar
1 Käenmäki, Antti
1 Kalmoun, El Mostafa
1 Karatsuba, Ekaterina Anatol’evna
1 Kesel’man, V. M.
1 Klyachin, Vladimir Aleksandrovich
1 Latfullin, T. G.
1 Ławrynowicz, Julian Mieczysław
1 Lehrbäck, Juha
1 Lelong-Ferrand, Jacqueline
1 Li, Liulan
1 Loboda, Alexander Vasil’evich
1 Ma, Manjun
1 Makhmutov, Shamil
1 Martin, Gaven J.
1 Mateljević, Miodrag S.
1 Mattila, Pertti
1 Naik, Swatee
1 Oleinik, Vladimir L.
1 Pelikh, V. I.
1 Pinchuk, Sergey
1 Reshetnyak, Yuriĭ Grigor’evich
1 Richards, Kendall C.
1 Rickman, Seppo Uolevi
1 Romanov, Aleksandr Sergeevich
1 Ruotsalainen, Lauri
1 Rzazanov, V.
1 Samuelsson, Klas
1 Sergeev, Armen Glebovich
1 Suomala, Ville
1 Tkachev, Vladimir G.
1 Väisälä, Jussi
...and 14 more Co-Authors
all top 5

Serials

17 Journal of Mathematical Analysis and Applications
13 Proceedings of the American Mathematical Society
10 Computational Methods and Function Theory
8 Transactions of the American Mathematical Society
7 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
7 Complex Variables and Elliptic Equations
6 Mathematische Zeitschrift
6 Doklady Mathematics
6 Journal of Inequalities and Applications
5 Israel Journal of Mathematics
5 Mathematica Scandinavica
5 Complex Variables. Theory and Application
5 Annales Academiae Scientiarum Fennicae. Mathematica
4 Monatshefte für Mathematik
4 Publicationes Mathematicae Debrecen
4 SIAM Journal on Mathematical Analysis
4 Expositiones Mathematicae
4 The Journal of Analysis
4 Complex Analysis and Operator Theory
3 Journal d’Analyse Mathématique
3 Revue Roumaine de Mathématiques Pures et Appliquées
3 Studia Mathematica
3 Journal of Computational and Applied Mathematics
3 Journal of the London Mathematical Society. Second Series
3 Pacific Journal of Mathematics
3 Filomat
3 ETNA. Electronic Transactions on Numerical Analysis
3 Bulletin de la Société des Sciences et des Lettres de Łódź. Série: Recherches sur les Déformations
3 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky
2 Houston Journal of Mathematics
2 Rocky Mountain Journal of Mathematics
2 Mathematische Nachrichten
2 Nagoya Mathematical Journal
2 Results in Mathematics
2 Tôhoku Mathematical Journal. Second Series
2 Forum Mathematicum
2 The Journal of Geometric Analysis
2 Abstract and Applied Analysis
2 Boundary Value Problems
2 Lecture Notes in Mathematics
1 American Mathematical Monthly
1 Arkhimedes
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Russian Mathematical Surveys
1 Arkiv för Matematik
1 Mathematics of Computation
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Applied Mathematics and Computation
1 Bulletin of the London Mathematical Society
1 Collectanea Mathematica
1 Colloquium Mathematicum
1 Czechoslovak Mathematical Journal
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Approximation Theory
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Mathematika
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Publications de l’Institut Mathématique. Nouvelle Série
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Siberian Mathematical Journal
1 Analysis
1 Constructive Approximation
1 Aequationes Mathematicae
1 Applied Mathematical Modelling
1 SIAM Journal on Scientific Computing
1 Advances in Computational Mathematics
1 Sbornik: Mathematics
1 Izvestiya: Mathematics
1 The Ramanujan Journal
1 Conformal Geometry and Dynamics
1 Annals of Combinatorics
1 Journal of the Australian Mathematical Society
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Annales Academiæ Scientiarum Fennicæ. Series A I. Mathematica. Dissertationes
1 Banach Center Publications
1 Bericht. Universität Jyväskylä. Mathematisches Institut
1 Canadian Mathematical Society Series of Monographs and Advanced Texts
1 Journal of Fixed Point Theory and Applications
1 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny
1 Ukraïns’kyĭ Matematychnyĭ Visnyk
1 Tbilisi Mathematical Journal
1 Mathematics Newsletter
1 Problemy Analiza. Issues of Analysis
1 Complex Analysis and its Synergies
1 Springer Monographs in Mathematics

Publications by Year

Citations contained in zbMATH Open

201 Publications have been cited 3,059 times in 1,527 Documents Cited by Year
Conformal geometry and quasiregular mappings. Zbl 0646.30025
Vuorinen, Matti
258
1988
Conformal invariants, inequalities, and quasiconformal maps. Zbl 0885.30012
Anderson, Glen Douglas; Vamanamurthy, Mavina Krishna; Vuorinen, Matti
248
1997
Generalized convexity and inequalities. Zbl 1125.26017
Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M.
102
2007
Inequalities for zero-balanced hypergeometric functions. Zbl 0826.33003
Anderson, G. D.; Barnard, R. W.; Richards, K. C.; Vamanamurthy, M. K.; Vuorinen, M.
101
1995
Asymptotic expansions and inequalities for hypergeometric functions. Zbl 0897.33001
Ponnusamy, S.; Vuorinen, M.
98
1997
Generalized elliptic integrals and modular equations. Zbl 0951.33012
Anderson, G. D.; Qiu, S.-L.; Vamanamurthu, M. K.; Vuorinen, M.
76
2000
Inequalities for quasiconformal mappings in space. Zbl 0793.30014
Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M.
70
1993
Inequalities for means. Zbl 0802.26009
Vamanamurthy, M. K.; Vuorinen, M.
63
1994
Functional inequalities for hypergeometric functions and complete elliptic integrals. Zbl 0764.33009
Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M.
62
1992
Univalence and convexity properties for Gaussian hypergeometric functions. Zbl 0973.30017
Ponnusamy, S.; Vuorinen, M.
58
2001
Functional inequalities for complete elliptic integrals and their ratios. Zbl 0692.33001
Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M.
58
1990
Conformal invariants and quasiregular mappings. Zbl 0601.30025
Vuorinen, Matti
52
1985
On harmonic functions and the Schwarz lemma. Zbl 1247.31002
Kalaj, David; Vuorinen, Matti
50
2012
On conformal dilatation in space. Zbl 1133.30319
Bishop, Christopher J.; Gutlyanskiĭ, Vladimir Ya.; Martio, Olli; Vuorinen, Matti
49
2003
The Cantor function. Zbl 1098.26006
Dovgoshey, O.; Martio, O.; Ryazanov, V.; Vuorinen, M.
49
2006
Generalized elliptic integrals. Zbl 1198.33002
Heikkala, Ville; Vamanamurthy, Mavina K.; Vuorinen, Matti
47
2009
Conformal invariants, quasiconformal maps, and spectral functions. Zbl 0767.30018
Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M.
45
1992
Some properties of the gamma and psi functions, with applications. Zbl 1060.33006
Qiu, S.-L.; Vuorinen, M.
38
2005
Monotonicity rules in calculus. Zbl 1167.26306
Anderson, Glen; Vamanamurthy, Mavina; Vourinen, Matti
38
2006
Whitney cubes, p-capacity, and Minkowski content. Zbl 0632.30023
Martio, O.; Vuorinen, M.
34
1987
On the degenerate Beltrami equation. Zbl 1066.30021
Gutlyanskii, V.; Martio, O.; Sugawa, T.; Vuorinen, M.
33
2005
Dimensions, Whitney covers, and tubular neighborhoods. Zbl 1298.28011
Kaenmaki, Antti; Lehrback, Juha; Vuorinen, Matti
32
2013
Hypergeometric functions in geometric function theory. Zbl 0948.30024
Vuorinen, Matti
32
1998
Special functions in geometric function theory. Zbl 1073.30007
Qiu, S.-L.; Vuorinen, M.
30
2005
Special functions of quasiconformal theory. Zbl 0686.30015
Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M.
30
1989
On generalized trigonometric functions with two parameters. Zbl 1257.33052
Bhayo, Barkat Ali; Vuorinen, Matti
28
2012
Uniformly perfect sets and quasiregular mappings. Zbl 0872.30014
Järvi, P.; Vuorinen, M.
28
1996
Radius of close-to-convexity and fully starlikeness of harmonic mappings. Zbl 1295.31005
Kalaj, David; Ponnusamy, Saminathan; Vuorinen, Matti
26
2014
Infinite products and normalized quotients of hypergeometric functions. Zbl 0931.30011
Qiu, S.-L.; Vuorinen, M.
26
1999
Duplication inequalities for the ratios of hypergeometric functions. Zbl 0938.33001
Qiu, Song-Liang; Vuorinen, Matti
24
2000
On harmonic quasiconformal quasi-isometries. Zbl 1211.30040
Mateljević, M.; Vuorinen, M.
24
2010
On moduli of rings and quadrilaterals: algorithms and experiments. Zbl 1368.65036
Hakula, Harri; Rasila, Antti; Vuorinen, Matti
24
2011
Generalized elliptic integrals and the Legendre \(\mathcal M\)-function. Zbl 1135.33008
Heikkala, V.; Lindén, H.; Vamanamurthy, M. K.; Vuorinen, M.
24
2008
Functional inequalities for the quotients of hypergeometric functions. Zbl 0890.33004
Balasubramanian, R.; Ponnusamy, S.; Vuorinen, M.
22
1998
Landen inequalities for hypergeometric functions. Zbl 0944.33004
Qiu, S.-L.; Vuorinen, M.
22
1999
Dimension-free quasiconformal distortion in n-space. Zbl 0632.30022
Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M.
22
1986
On Jordan type inequalities for hyperbolic functions. Zbl 1211.26015
Klén, R.; Visuri, M.; Vuorinen, M.
22
2010
Landen inequalities for zero-balanced hypergeometric functions. Zbl 1241.26021
Simić, Slavko; Vuorinen, Matti
22
2012
Distortion functions for plane quasiconformal mappings. Zbl 0652.30013
Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M.
22
1988
On generalized complete elliptic integrals and modular functions. Zbl 1267.33015
Bhayo, B. A.; Vuorinen, M.
22
2012
On hypergeometric functions and function spaces. Zbl 1172.33302
Balasubramanian, R.; Ponnusamy, S.; Vuorinen, M.
21
2002
Inequalities for the generalized trigonometric and hyperbolic functions. Zbl 1306.33013
Klén, Riku; Vuorinen, Matti; Zhang, Xiaohui
21
2014
Some inequalities for the Hersch-Pfluger distortion function. Zbl 0946.30010
Qiu, S.-L.; Vamanamurthy, M. K.; Vuorinen, M.
20
1999
Some inequalities for the Poincaré metric of plane domains. Zbl 1081.30040
Sugawa, Toshiyuki; Vuorinen, Matti
20
2005
Singular values, Ramanujan modular equations, and Landen transformations. Zbl 0872.30010
Vuorinen, M.
19
1996
On the existence of angular limits of \(n\)-dimensional quasiconformal mappings. Zbl 0461.30014
Vuorinen, Matti
18
1980
Univalence and convexity properties for confluent hypergeometric functions. Zbl 0902.30011
Ponnusamy, S.; Vuorinen, M.
18
1998
Exceptional sets and boundary behavior of quasiregular mappings in n- space. Zbl 0362.30024
Vuorinen, Matti
18
1976
Some properties of a class of elliptic partial differential operators. Zbl 1327.30042
Chen, Shaolin; Vuorinen, Matti
18
2015
Some inequalities for the growth of elliptic integrals. Zbl 0908.33012
Qiu, S.-L.; Vamanamurthy, M. K.; Vuorinen, M.
17
1998
Inequalities for eigenfunctions of the \(p\)-Laplacian. Zbl 1294.33001
Bhayo, B. A.; Vuorinen, M.
16
2013
Estimates for the hyperbolic metric of the punctured plane and applications. Zbl 1021.30047
Solynin, A. Yu.; Vuorinen, M.
16
2001
Hypergeometric functions and elliptic integrals. Zbl 0984.33502
Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M.
16
1992
Capacity densities and angular limits of quasiregular mappings. Zbl 0461.30015
Vuorinen, Matti
16
1981
Conformally invariant metrics and quasiconformal mappings. Zbl 1450.30003
Hariri, Parisa; Klén, Riku; Vuorinen, Matti
15
2020
Hardy’s inequality for \(W_0^{1,p}\)-functions on Riemannian manifolds. Zbl 0946.58009
Miklyukov, Vladimir M.; Vuorinen, Matti K.
15
1999
Topics in special functions. Zbl 1026.33001
Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M.
14
2001
Lipschitz conditions, triangular ratio metric, and quasiconformal maps. Zbl 1374.30069
Chen, Jiaolong; Hariri, Parisa; Klén, Riku; Vuorinen, Matti
14
2015
BMO and injectivity of space quasiregular mappings. Zbl 0935.30016
Martio, Olli; Ryazanov, Vladimir; Vuorinen, Matti
14
1999
Turań type inequalities for generalized inverse trigonometric functions. Zbl 1474.33001
Baricz, Árpád; Bhayo, Barkat Ali; Vuorinen, Matti
13
2015
Linear approximation property, Minkowski dimension, and quasiconformal spheres. Zbl 0671.30018
Mattila, P.; Vuorinen, M.
13
1990
Thick sets and quasisymmetric maps. Zbl 0803.30016
Väisälä, Jussi; Vuorinen, Matti; Wallin, Hans
12
1994
Precise estimates for differences of the Gaussian hypergeometric function. Zbl 0885.33002
Anderson, G. D.; Qiu, S.-L.; Vuorinen, M.
12
1997
The computation of capacity of planar condensers. Zbl 1079.78024
Betsakos, Dimitrios; Samuelsson, Klas; Vuorinen, Matti
12
2004
The visual angle metric and Möbius transformations. Zbl 1307.30082
Klén, Riku; Lindén, Henri; Vuorinen, Matti; Wang, Gendi
12
2014
Mori’s theorem for \(n\)-dimensional quasiconformal mappings. Zbl 0615.30018
Fehlmann, R.; Vuorinen, M.
12
1988
Starlikeness of the Gaussian hypergeometric functions. Zbl 1187.30017
Hästö, Peter; Ponnusamy, S.; Vuorinen, M.
12
2010
Topics in special functions. II. Zbl 1133.30315
Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M.
12
2007
Infinitesimal geometry of quasilinear mappings. Zbl 0938.30014
Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M.
11
2000
Quadruples and spatial quasiconformal mappings. Zbl 0692.30018
Vuorinen, Matti
11
1990
On convergence theorems for space quasiregular mappings. Zbl 0907.30024
Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M.
11
1998
Topics in special functions. III. Zbl 1323.33001
Anderson, Glen D.; Vuorinen, Matti; Zhang, Xiaohui
10
2014
Inequalities and bi-Lipschitz conditions for the triangular ratio metric. Zbl 1376.30019
Hariri, Parisa; Vuorinen, Matti; Zhang, Xiaohui
10
2017
Functional inequalities for modified Bessel functions. Zbl 1237.39023
Baricz, Árpád; Ponnusamy, Saminathan; Vuorinen, Matti
10
2011
On hypergeometric functions and generalizations of Legendre’s relation. Zbl 0983.33002
Karatsuba, E. A.; Vuorinen, M.
9
2001
On local injectivity and asymptotic linearity of quasiregular mappings. Zbl 0893.30012
Gutlyanskiĭ, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M.
9
1998
The visual angle metric and quasiregular maps. Zbl 1355.30020
Wang, Gendi; Vuorinen, Matti
9
2016
Robin functions and distortion theorems for regular mappings. Zbl 1210.30008
Dubinin, V. N.; Vuorinen, M.
9
2010
On capacity computation for symmetric polygonal condensers. Zbl 1416.65076
Bezrodnykh, Sergei; Bogatyrëv, Andrei; Goreinov, Sergei; Grigor’ev, Oleg; Hakula, Harri; Vuorinen, Matti
9
2019
Comparison theorems for hyperbolic type metrics. Zbl 1354.54026
Dovgoshey, Oleksiy; Hariri, Parisa; Vuorinen, Matti
8
2016
Characterizations of John spaces. Zbl 1441.30035
Li, Yaxiang; Vuorinen, Matti; Zhou, Qingshan
8
2019
Metrics and quasiregular mappings. Zbl 1166.30013
Vuorinen, Matti
8
2007
Extremal problems and symmetrization for plane ring domains. Zbl 0860.30027
Solynin, A. Yu.; Vuorinen, M.
8
1996
On conformal moduli of polygonal quadrilaterals. Zbl 1182.30011
Dubinin, V. N.; Vuorinen, M.
8
2009
Computation of exterior moduli of quadrilaterals. Zbl 1305.65110
Hakula, Harri; Rasila, Antti; Vuorinen, Matti
7
2013
Bounds for quasiconformal distortion functions. Zbl 0871.30019
Qiu, S. L.; Vamanamurthy, M. K.; Vuorinen, M.
7
1997
Some remarks on an existence problem for degenerate elliptic systems. Zbl 1069.30034
Martio, Olli; Miklyukov, Vladimir; Vuorinen, Matti
7
2005
Lipschitz conditions in conformally invariant metrics. Zbl 0758.30018
Ferrand, J.; Martin, G. J.; Vuorinen, M.
7
1991
Conformally invariant extremal problems and quasiconformal maps. Zbl 0766.30014
Vuorinen, Matti
7
1992
On functions with a finite or locally bounded Dirichlet integral. Zbl 0557.30020
Vuorinen, Matti
7
1984
On the Harnack constant and the boundary behavior of Harnack functions. Zbl 0488.31003
Vuorinen, Matti
7
1982
On the order of quasiregular mappings. Zbl 0516.30018
Rickman, S.; Vuorinen, M.
7
1982
Sharp distortion theorems for quasiconformal mappings. Zbl 0639.30019
Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M.
7
1988
Some remarks on the Cassinian metric. Zbl 1399.51009
Hariri, Parosa; Klén, Riku; Vourinen, Matti; Zhang, Xiaohui
7
2017
Conformal modulus and planar domains with strong singularities and cusps. Zbl 1415.65064
Hakula, Harri; Rasila, Antti; Vuorinen, Matti
7
2018
Elliott’s identity and hypergeometric functions. Zbl 1011.33010
Balasubramanian, R.; Naik, S.; Ponnusamy, S.; Vuorinen, M.
6
2002
On the stability of \(\varphi\)-uniform domains. Zbl 1297.30069
Klén, R.; Li, Y.; Sahoo, S. K.; Vuorinen, M.
6
2014
On the local behaviour of quasi-regular space mappings. Zbl 0932.30017
Vuorinen, M.; Martio, O.; Ryazanov, V. I.
6
1998
Submultiplicative properties of the \(\varphi_ K\)-distortion function. Zbl 0848.30012
Qiu, S.-L.; Vuorinen, M.
6
1996
Quasimultiplicative properties for the \(\eta\)-distortion function. Zbl 0854.30017
Qiu, S.-L.; Vuorinen, M.
6
1996
Condenser capacity and hyperbolic perimeter. Zbl 07447596
Nasser, Mohamed M. S.; Rainio, Oona; Vuorinen, Matti
2
2022
Introducing a new intrinsic metric. Zbl 07490182
Rainio, Oona; Vuorinen, Matti
1
2022
Computation of conformal invariants. Zbl 1474.65060
Nasser, Mohamed M. S.; Vuorinen, Matti
5
2021
Barrlund’s distance function and quasiconformal maps. Zbl 1476.30094
Fujimura, Masayo; Mocanu, Marcelina; Vuorinen, Matti
2
2021
A new intrinsic metric and quasiregular maps. Zbl 1469.30120
Fujimura, Masayo; Mocanu, Marcelina; Vuorinen, Matti
1
2021
On cyclic quadrilaterals in euclidean and hyperbolic geometries. Zbl 07393057
Wang, Gendi; Vuorinen, Matti; Zhang, Xiaohui
1
2021
Intrinsic geometry and boundary structure of plane domains. Zbl 1476.30107
Rainio, O.; Sugawa, T.; Vuorinen, M.
1
2021
Conformal moduli of symmetric circular quadrilaterals with cusps. Zbl 1470.65039
Hakula, Harri; Nasyrov, Semen; Vuorinen, Matti
1
2021
Conformally invariant metrics and quasiconformal mappings. Zbl 1450.30003
Hariri, Parisa; Klén, Riku; Vuorinen, Matti
15
2020
Numerical computation of the capacity of generalized condensers. Zbl 07195330
Nasser, Mohamed M. S.; Vuorinen, Matti
5
2020
Apollonian metric, uniformity and Gromov hyperbolicity. Zbl 1445.30011
Li, Yaxiang; Vuorinen, Matti; Zhou, Qingshan
5
2020
Conformal invariants in simply connected domains. Zbl 1459.65035
Nasser, Mohamed M. S.; Vuorinen, Matti
4
2020
Teichmüller’s theorem in higher dimensions and its applications. Zbl 1467.30014
Golberg, Anatoly; Sugawa, Toshiyuki; Vuorinen, Matti
1
2020
Global bifurcation and stability of steady states for a bacterial colony model with density-suppressed motility. Zbl 1481.92089
Ma, Manjun; Xia, Peng; Zhang, Qifeng; Vuorinen, Matti
1
2020
On capacity computation for symmetric polygonal condensers. Zbl 1416.65076
Bezrodnykh, Sergei; Bogatyrëv, Andrei; Goreinov, Sergei; Grigor’ev, Oleg; Hakula, Harri; Vuorinen, Matti
9
2019
Characterizations of John spaces. Zbl 1441.30035
Li, Yaxiang; Vuorinen, Matti; Zhou, Qingshan
8
2019
The Ptolemy-Alhazen problem and spherical mirror reflection. Zbl 1419.30005
Fujimura, Masayo; Hariri, Parisa; Mocanu, Marcelina; Vuorinen, Matti
4
2019
Characterizations of Hardy-type, Bergman-type and Dirichlet-type spaces on certain classes of complex-valued functions. Zbl 1429.32009
Chen, Shaolin; Rasila, Antti; Vuorinen, Matti
3
2019
Conformal modulus and planar domains with strong singularities and cusps. Zbl 1415.65064
Hakula, Harri; Rasila, Antti; Vuorinen, Matti
7
2018
Weakly quasisymmetric maps and uniform spaces. Zbl 1404.30033
Li, Yaxiang; Vuorinen, Matti; Zhou, Qingshan
6
2018
Inequalities and bi-Lipschitz conditions for the triangular ratio metric. Zbl 1376.30019
Hariri, Parisa; Vuorinen, Matti; Zhang, Xiaohui
10
2017
Some remarks on the Cassinian metric. Zbl 1399.51009
Hariri, Parosa; Klén, Riku; Vourinen, Matti; Zhang, Xiaohui
7
2017
On removability properties of \(\psi \)-uniform domains in Banach spaces. Zbl 1361.30038
Huang, M.; Vuorinen, M.; Wang, X.
2
2017
Volume growth of quasihyperbolic balls. Zbl 1385.51014
Zhang, Xiaohui; Klén, Riku; Suomala, Ville; Vuorinen, Matti
1
2017
The visual angle metric and quasiregular maps. Zbl 1355.30020
Wang, Gendi; Vuorinen, Matti
9
2016
Comparison theorems for hyperbolic type metrics. Zbl 1354.54026
Dovgoshey, Oleksiy; Hariri, Parisa; Vuorinen, Matti
8
2016
Balls in the triangular ratio metric. Zbl 1362.30031
Hokuni, S.; Klén, R.; Li, Y.; Vuorinen, M.
4
2016
Geometric properties of \(\varphi \)-uniform domains. Zbl 1366.30019
Hästö, Peter; Klén, Riku; Sahoo, Swadesh Kumar; Vuorinen, Matti
4
2016
Some remarks on the visual angle metric. Zbl 1355.30019
Hariri, Parisa; Vuorinen, Matti; Wang, Gendi
3
2016
On isometries of conformally invariant metrics. Zbl 1345.30025
Klén, Riku; Vuorinen, Matti; Zhang, Xiaohui
2
2016
On quasi-inversions. Zbl 1351.30006
Kalaj, David; Vuorinen, Matti; Wang, Gendi
2
2016
Some properties of a class of elliptic partial differential operators. Zbl 1327.30042
Chen, Shaolin; Vuorinen, Matti
18
2015
Lipschitz conditions, triangular ratio metric, and quasiconformal maps. Zbl 1374.30069
Chen, Jiaolong; Hariri, Parisa; Klén, Riku; Vuorinen, Matti
14
2015
Turań type inequalities for generalized inverse trigonometric functions. Zbl 1474.33001
Baricz, Árpád; Bhayo, Barkat Ali; Vuorinen, Matti
13
2015
Sharp Lipschitz constants for the distance ratio metric. Zbl 1311.30004
Simić, Slavko; Vuorinen, Matti; Wang, Gendi
2
2015
Lipschitz conditions and the distance ratio metric. Zbl 1461.51020
Simić, Slavko; Vuorinen, Matti
1
2015
Radius of close-to-convexity and fully starlikeness of harmonic mappings. Zbl 1295.31005
Kalaj, David; Ponnusamy, Saminathan; Vuorinen, Matti
26
2014
Inequalities for the generalized trigonometric and hyperbolic functions. Zbl 1306.33013
Klén, Riku; Vuorinen, Matti; Zhang, Xiaohui
21
2014
The visual angle metric and Möbius transformations. Zbl 1307.30082
Klén, Riku; Lindén, Henri; Vuorinen, Matti; Wang, Gendi
12
2014
Topics in special functions. III. Zbl 1323.33001
Anderson, Glen D.; Vuorinen, Matti; Zhang, Xiaohui
10
2014
On the stability of \(\varphi\)-uniform domains. Zbl 1297.30069
Klén, R.; Li, Y.; Sahoo, S. K.; Vuorinen, M.
6
2014
Bernoulli inequality and hypergeometric functions. Zbl 1288.26011
Klén, Riku; Manojlović, Vesna; Simić, Slavko; Vuorinen, Matti
5
2014
Distortion of quasiconformal mappings with identity boundary values. Zbl 1307.30056
Vuorinen, Matti; Zhang, Xiaohui
5
2014
Quasihyperbolic metric and Möbius transformations. Zbl 1408.30027
Klén, Riku; Vuorinen, Matti; Zhang, Xiaohui
5
2014
Ahlfors-Beurling conformal invariant and relative capacity of compact sets. Zbl 1302.30027
Dubinin, Vladimir N.; Vuorinen, Matti
4
2014
Freely quasiconformal maps and distance ratio metric. Zbl 1310.30023
Li, Yaxiang; Ponnusamy, Saminathan; Vuorinen, Matti
3
2014
The minimal surfaces over the slanted half-planes, vertical strips and single slit. Zbl 1316.31006
Li, Liulan; Ponnusamy, Saminathan; Vuorinen, Matti
1
2014
Dimensions, Whitney covers, and tubular neighborhoods. Zbl 1298.28011
Kaenmaki, Antti; Lehrback, Juha; Vuorinen, Matti
32
2013
Inequalities for eigenfunctions of the \(p\)-Laplacian. Zbl 1294.33001
Bhayo, B. A.; Vuorinen, M.
16
2013
Computation of exterior moduli of quadrilaterals. Zbl 1305.65110
Hakula, Harri; Rasila, Antti; Vuorinen, Matti
7
2013
On exterior moduli of quadrilaterals and special functions. Zbl 1276.33028
Vuorinen, Matti; Zhang, Xiaohui
6
2013
Lipschitz spaces and bounded mean oscillation of harmonic mappings. Zbl 1272.31001
Chen, Shaolin; Ponnusamy, Saminathan; Vuorinen, Matti; Wang, Xiantao
6
2013
On quasimöbius maps in real Banach spaces. Zbl 1285.30007
Huang, M.; Li, Y.; Vuorinen, M.; Wang, X.
5
2013
Metrization of weighted graphs. Zbl 1272.05031
Dovgoshey, Oleksiy; Martio, Olli; Vuorinen, Matti
4
2013
Inclusion relations of hyperbolic type metric balls. II. Zbl 1289.30221
Klén, Riku; Vuorinen, Matti
3
2013
Hyperbolic Lambert quadrilaterals and quasiconformal mappings. Zbl 1307.51012
Vuorinen, Matti; Wang, Gendi
3
2013
Bisection of geodesic segments in hyperbolic geometry. Zbl 1320.51018
Vuorinen, Matti; Wang, Gendi
2
2013
Subdomain geometry of hyperbolic type metrics. Zbl 1289.30220
Klén, R.; Li, Y.; Vuorinen, M.
1
2013
On the subinvariance of uniform domains in Banach spaces. Zbl 1306.46013
Huang, M.; Vuorinen, M.; Wang, X.
1
2013
On harmonic functions and the Schwarz lemma. Zbl 1247.31002
Kalaj, David; Vuorinen, Matti
50
2012
On generalized trigonometric functions with two parameters. Zbl 1257.33052
Bhayo, Barkat Ali; Vuorinen, Matti
28
2012
Landen inequalities for zero-balanced hypergeometric functions. Zbl 1241.26021
Simić, Slavko; Vuorinen, Matti
22
2012
On generalized complete elliptic integrals and modular functions. Zbl 1267.33015
Bhayo, B. A.; Vuorinen, M.
22
2012
Inclusion relations of hyperbolic type metric balls. Zbl 1299.30118
Klén, Riku; Vuorinen, Matti
1
2012
On moduli of rings and quadrilaterals: algorithms and experiments. Zbl 1368.65036
Hakula, Harri; Rasila, Antti; Vuorinen, Matti
24
2011
Functional inequalities for modified Bessel functions. Zbl 1237.39023
Baricz, Árpád; Ponnusamy, Saminathan; Vuorinen, Matti
10
2011
On quasiconformal maps with identity boundary values. Zbl 1226.30024
Manojlović, V.; Vuorinen, M.
4
2011
On Mori’s theorem for quasiconformal maps in the \(n\)-space. Zbl 1278.30025
Bhayo, B. A.; Vuorinen, M.
4
2011
On Kaluza’s sign criterion for reciprocal power series. Zbl 1260.30002
Baricz, Árpád; Vesti, Jetro; Vuorinen, Matti
3
2011
On quotients and differences of hypergeometric functions. Zbl 1275.33008
Simić, Slavko; Vuorinen, Matti
3
2011
Norm inequalities for vector functions. Zbl 1221.26027
Bhayo, B. A.; Božin, V.; Kalaj, D.; Vuorinen, M.
1
2011
Hölder continuity of harmonic quasiconformal mappings. Zbl 1272.30037
Arsenović, Miloš; Manojlović, Vesna; Vuorinen, Matti
1
2011
Apollonian circles and hyperbolic geometry. Zbl 1285.51017
Klén, Riku; Vuorinen, Matti
1
2011
On harmonic quasiconformal quasi-isometries. Zbl 1211.30040
Mateljević, M.; Vuorinen, M.
24
2010
On Jordan type inequalities for hyperbolic functions. Zbl 1211.26015
Klén, R.; Visuri, M.; Vuorinen, M.
22
2010
Starlikeness of the Gaussian hypergeometric functions. Zbl 1187.30017
Hästö, Peter; Ponnusamy, S.; Vuorinen, M.
12
2010
Robin functions and distortion theorems for regular mappings. Zbl 1210.30008
Dubinin, V. N.; Vuorinen, M.
9
2010
Twice-punctured hyperbolic sphere with a conical singularity and generalized elliptic integral. Zbl 1204.30031
Anderson, G. D.; Sugawa, T.; Vamanamurthy, M. K.; Vuorinen, M.
4
2010
Geometry of metrics. Zbl 1236.30022
Vuorinen, Matti
4
2010
Wiman and Arima theorems for quasiregular mappings. Zbl 1226.30025
Martio, O.; Miklyukov, V. M.; Vuorinen, M.
2
2010
Ahlfors theorems for differential forms. Zbl 1211.30039
Martio, O.; Miklyukov, V. M.; Vuorinen, M.
1
2010
Reflections on Ramanujan’s mathematical gems. Zbl 1216.33001
Anderson, G. D.; Vuorinen, M.
1
2010
Generalized elliptic integrals. Zbl 1198.33002
Heikkala, Ville; Vamanamurthy, Mavina K.; Vuorinen, Matti
47
2009
On conformal moduli of polygonal quadrilaterals. Zbl 1182.30011
Dubinin, V. N.; Vuorinen, M.
8
2009
Modular equations and distortion functions. Zbl 1205.30015
Anderson, G. D.; Qiu, S.-L.; Vuorinen, M.
6
2009
Region of variability for certain classes of univalent functions satisfying differential inequalities. Zbl 1183.30011
Ponnusamy, S.; Vasudevarao, A.; Vuorinen, M.
6
2009
Region of variability for spiral-like functions with respect to a boundary point. Zbl 1175.30018
Ponnusamy, S.; Vasudevarao, A.; Vuorinen, M.
4
2009
Generalized elliptic integrals and the Legendre \(\mathcal M\)-function. Zbl 1135.33008
Heikkala, V.; Lindén, H.; Vamanamurthy, M. K.; Vuorinen, M.
24
2008
Generalized convexity and inequalities. Zbl 1125.26017
Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M.
102
2007
Topics in special functions. II. Zbl 1133.30315
Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M.
12
2007
Metrics and quasiregular mappings. Zbl 1166.30013
Vuorinen, Matti
8
2007
Three spheres theorem for \(p\)-harmonic functions. Zbl 1132.35035
Miklyukov, Vladimir M.; Rasila, Antti; Vuorinen, Matti
5
2007
On quasiplanes in Euclidean spaces. Zbl 1111.30013
Martio, O.; Miklyukov, V. M.; Vuorinen, M.
1
2007
The Cantor function. Zbl 1098.26006
Dovgoshey, O.; Martio, O.; Ryazanov, V.; Vuorinen, M.
49
2006
Monotonicity rules in calculus. Zbl 1167.26306
Anderson, Glen; Vamanamurthy, Mavina; Vourinen, Matti
38
2006
Teichmüller’s extremal ring problem. Zbl 1112.30019
Heikkala, Ville; Vuorinen, Matti
4
2006
Experiments with moduli of quadrilaterals. Zbl 1120.65030
Rasila, Antti; Vuorinen, Matti
3
2006
Some properties of the gamma and psi functions, with applications. Zbl 1060.33006
Qiu, S.-L.; Vuorinen, M.
38
2005
On the degenerate Beltrami equation. Zbl 1066.30021
Gutlyanskii, V.; Martio, O.; Sugawa, T.; Vuorinen, M.
33
2005
Special functions in geometric function theory. Zbl 1073.30007
Qiu, S.-L.; Vuorinen, M.
30
2005
...and 101 more Documents
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Cited by 1,149 Authors

128 Chu, Yuming
104 Vuorinen, Matti Keijo Kustaa
66 Ponnusamy, Saminathan
57 Sevost’yanov, Yevgen Oleksandrovych
51 Wang, Miaokun
41 Yang, Zhenhang
39 Qiu, Songliang
35 Zhu, Ling
34 Zhang, Xiaohui
32 Baricz, Árpád
32 Ryazanov, Vladimir Il’ich
30 Salimov, Ruslan Radikovich
28 Kalaj, David
26 Zhao, Tiehong
25 Qi, Feng
25 Qian, Weimao
24 Rasila, Antti
22 Chen, Chaoping
21 Noor, Muhammad Aslam
21 Wang, Gendi
20 Wang, Xiantao
19 Chen, Shaolin
18 Noor, Khalida Inayat
17 Li, Yaxiang
17 Zhang, Wen
16 Golberg, Anatoly
16 Klén, Riku
16 Martio, Olli
16 Mateljević, Miodrag S.
15 Anderson, Glen Douglas
15 Bhayo, Barkat Ali
15 Sugawa, Toshiyuki
14 Ma, Xiaoyan
14 Mehrez, Khaled
14 Sahoo, Swadesh Kumar
14 Yin, Li
14 Zhou, Qingshan
13 Alzer, Horst
13 Dubinin, Vladimir N.
13 Fletcher, Alastair N.
13 Gutlyanskiĭ, Vladimir Ya.
13 Jiang, Yueping
13 Karp, Dmitriĭ Borisovich
13 Neuman, Edward
13 Vamanamurthy, Mavina Krishna
12 Koskela, Pekka
12 Miklyukov, Vladimir Mikhaiĭlovich
12 Song, Yingqing
12 Yakubov, Eduard H.
11 Bagul, Yogesh J.
11 Betsakos, Dimitrios
11 Dragomir, Sever Silvestru
11 Hästö, Peter A.
11 Mortici, Cristinel
11 Safdar, Farhat
11 Solynin, Alexander Yu.
10 Prilepkina, Elena Gumarovna
10 Richards, Kendall C.
10 Shimomura, Tetsu
9 Avkhadiev, Farit Gabidinovich
9 Huang, Manzi
9 Huang, TiRen
9 Tian, Jingfeng
9 Wu, Shanhe
8 Barnard, Roger W.
8 Chu, Hong-Hu
8 Fernández-Sánchez, Juan
8 He, Zaiyin
8 Ibragimov, Zair
8 Iftikhar, Sabah
8 Li, Peijin
8 Long, Boyong
8 Malešević, Branko J.
8 Marković, Marijan
8 Nasser, Mohamed M. S.
8 Srebro, Uri
8 Zhu, Jianfeng
7 Balasubramanian, Ramachandran
7 Debnath, Lokenath
7 Guo, Bai-Ni
7 Hare, Kathryn E.
7 Lin, Xiuli
7 Mizuta, Yoshihiro
7 Nasyrov, Semen R.
7 Rainio, Oona
7 Skvortsov, Sergei Aleksandrovich
7 Srivastava, Hari Mohan
6 Afanas’eva, Elena Sergeevna
6 Akdemir, Ahmet Ocak
6 Aseev, Vladislav Vasil’evich
6 Berg, Christian
6 Butt, Saad Ihsan
6 Chen, Xingdi
6 Chesneau, Christophe
6 Futamura, Toshihide
6 Hakula, Harri
6 Heinonen, Juha
6 Herron, David A.
6 Huang, Liguo
6 Lehrbäck, Juha
...and 1,049 more Authors
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Cited in 283 Serials

122 Journal of Mathematical Analysis and Applications
90 Journal of Inequalities and Applications
50 Computational Methods and Function Theory
46 Complex Variables and Elliptic Equations
43 Proceedings of the American Mathematical Society
42 Journal of Mathematical Sciences (New York)
35 Journal d’Analyse Mathématique
28 Transactions of the American Mathematical Society
26 Journal of Mathematical Inequalities
26 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
23 Monatshefte für Mathematik
23 Integral Transforms and Special Functions
23 Complex Analysis and Operator Theory
22 Applied Mathematics and Computation
21 Ukrainian Mathematical Journal
21 Abstract and Applied Analysis
21 AIMS Mathematics
20 Results in Mathematics
19 Mathematische Zeitschrift
18 Journal of Computational and Applied Mathematics
17 Israel Journal of Mathematics
17 The Journal of Geometric Analysis
17 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
15 Filomat
15 Journal of Function Spaces
14 Applied Mathematics Letters
13 Computers & Mathematics with Applications
13 Siberian Mathematical Journal
13 Potential Analysis
13 The Ramanujan Journal
13 Mathematical Inequalities & Applications
12 Conformal Geometry and Dynamics
11 Rocky Mountain Journal of Mathematics
10 Mathematical Notes
10 The Journal of Analysis
10 Annales Academiae Scientiarum Fennicae. Mathematica
10 Lobachevskii Journal of Mathematics
10 Problemy Analiza. Issues of Analysis
9 Advances in Mathematics
9 International Journal of Mathematics and Mathematical Sciences
9 Analysis and Mathematical Physics
8 Mathematical Proceedings of the Cambridge Philosophical Society
8 Journal of Functional Analysis
8 Revista Matemática Iberoamericana
8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
8 Advances in Difference Equations
7 Analysis Mathematica
7 Bulletin of the Australian Mathematical Society
7 Journal of Approximation Theory
7 Expositiones Mathematicae
7 Russian Mathematics
7 Applied Mathematics. Series B (English Edition)
7 Acta Mathematica Scientia. Series B. (English Edition)
7 Mediterranean Journal of Mathematics
7 Annales Fennici Mathematici
6 Archive for Rational Mechanics and Analysis
6 Arkiv för Matematik
6 Mathematische Annalen
6 Indagationes Mathematicae. New Series
6 St. Petersburg Mathematical Journal
6 Communications of the Korean Mathematical Society
6 Journal of the Australian Mathematical Society
6 Science China. Mathematics
5 Mathematics of Computation
5 Duke Mathematical Journal
5 Manuscripta Mathematica
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Calculus of Variations and Partial Differential Equations
5 Acta Mathematica Sinica. English Series
5 Sibirskie Èlektronnye Matematicheskie Izvestiya
5 International Journal of Analysis and Applications
5 Complex Analysis and its Synergies
5 Open Mathematics
4 Acta Mathematica
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Czechoslovak Mathematical Journal
4 Journal of Differential Equations
4 Mathematische Nachrichten
4 Michigan Mathematical Journal
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Tôhoku Mathematical Journal. Second Series
4 Ergodic Theory and Dynamical Systems
4 Stochastic Processes and their Applications
4 Fractals
4 Bulletin des Sciences Mathématiques
4 Journal of Applied Mathematics
4 Applicable Analysis and Discrete Mathematics
4 Journal of Nonlinear Science and Applications
4 Journal of Classical Analysis
3 Indian Journal of Pure & Applied Mathematics
3 Chaos, Solitons and Fractals
3 Journal of Number Theory
3 Mathematica Slovaca
3 Osaka Journal of Mathematics
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Constructive Approximation
3 Forum Mathematicum
3 Computational Mathematics and Mathematical Physics
3 Aequationes Mathematicae
3 Sbornik: Mathematics
...and 183 more Serials
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Cited in 56 Fields

684 Functions of a complex variable (30-XX)
469 Real functions (26-XX)
428 Special functions (33-XX)
209 Potential theory (31-XX)
94 Partial differential equations (35-XX)
65 Functional analysis (46-XX)
50 Measure and integration (28-XX)
43 Geometry (51-XX)
40 Dynamical systems and ergodic theory (37-XX)
37 Number theory (11-XX)
37 Numerical analysis (65-XX)
34 Approximations and expansions (41-XX)
33 Several complex variables and analytic spaces (32-XX)
31 Harmonic analysis on Euclidean spaces (42-XX)
31 Differential geometry (53-XX)
27 Probability theory and stochastic processes (60-XX)
23 General topology (54-XX)
20 Difference and functional equations (39-XX)
20 Global analysis, analysis on manifolds (58-XX)
18 Operator theory (47-XX)
17 Ordinary differential equations (34-XX)
14 Sequences, series, summability (40-XX)
13 Statistics (62-XX)
11 Combinatorics (05-XX)
9 Integral transforms, operational calculus (44-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
9 Convex and discrete geometry (52-XX)
7 Manifolds and cell complexes (57-XX)
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5 Integral equations (45-XX)
4 Mathematical logic and foundations (03-XX)
4 Algebraic geometry (14-XX)
4 Topological groups, Lie groups (22-XX)
4 Information and communication theory, circuits (94-XX)
3 General and overarching topics; collections (00-XX)
3 Abstract harmonic analysis (43-XX)
3 Mechanics of deformable solids (74-XX)
3 Fluid mechanics (76-XX)
3 Relativity and gravitational theory (83-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Algebraic topology (55-XX)
2 Optics, electromagnetic theory (78-XX)
1 History and biography (01-XX)
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1 Systems theory; control (93-XX)
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