Edit Profile (opens in new tab) Vuorinen, Matti Keijo Kustaa Co-Author Distance Author ID: vuorinen.matti-k Published as: Vuorinen, Matti; Vuorinen, M.; Vuorinen, Matti K.; Vourinen, Matti; Vuorinen, M. K. more...less Homepage: http://users.utu.fi/vuorinen/ External Links: MGP · Wikidata · ResearchGate · IdRef Documents Indexed: 272 Publications since 1976, including 3 Books and 9 Additional arXiv Preprints 4 Contributions as Editor Reviewing Activity: 388 Reviews Biographic References: 1 Publication Co-Authors: 118 Co-Authors with 239 Joint Publications 2,166 Co-Co-Authors all top 5 Co-Authors 37 single-authored 40 Martio, Olli 29 Vamanamurthy, Mavina Krishna 28 Anderson, Glen Douglas 21 Klén, Riku 21 Miklyukov, Vladimir Mikhaiĭlovich 17 Ponnusamy, Saminathan 16 Rainio, Oona 15 Gutlyanskiĭ, Vladimir Ya. 15 Nasser, Mohamed M. S. 14 Qiu, Songliang 13 Ryazanov, Vladimir Il’ich 12 Li, Yaxiang 12 Sugawa, Toshiyuki 11 Rasila, Antti 11 Zhang, Xiaohui 9 Wang, Gendi 8 Hakula, Harri 7 Bhayo, Barkat Ali 7 Fujimura, Masayo 7 Hariri, Parisa 7 Wang, Xiantao 6 Nasyrov, Semen R. 5 Dovgoshey, Oleksiy Alfredovich 5 Dubinin, Vladimir N. 5 Simić, Slavko 4 Hästö, Peter A. 4 Kalaj, David 4 Todorčević, Vesna 4 Mocanu, Marcelina 3 Balasubramanian, Ramachandran 3 Baricz, Árpád 3 Betsakos, Dimitrios 3 Chen, Shaolin 3 Dautova, Dina 3 Heikkala, Ville 3 Huang, Manzi 3 Kargar, Rahim 3 Sahoo, Swadesh Kumar 3 Solynin, Alexander Yu. 3 Vasudevarao, Allu 3 Zhou, Qingshan 2 Beznea, Lucian 2 Gheondea, Aurelian 2 Järvi, Pentti 2 Kalmoun, El Mostafa 2 Lehtinen, Matti 2 Lindén, Henri 2 Zhang, Tanran 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, Evgeniĭ Mikhaĭlovich 1 Fehlmann, Richard 1 Franke, Dirk Christoph 1 Golberg, Anatoly 1 Gol’dstein, Vladimir Mikailovitch 1 Goreinov, Sergei Anatolievich 1 Goryainov, Viktor V. 1 Green, Christopher C. 1 Grigor’ev, Oleg Mikhaĭlovich 1 Grigor’yan, Alexander Asaturovich 1 Hariri, Parosa 1 Herron, David A. 1 Hinkkanen, Aimo 1 Hokuni, S. 1 Huang, Jie 1 Joiţa, Cezar 1 Käenmäki, Antti 1 Karatsuba, Ekaterina Anatol’evna 1 Kesel’man, V. M. 1 Klyachin, Vladimir Aleksandrovich 1 Latfullin, T. G. 1 Ławrynowicz, Julian 1 Lehrbäck, Juha 1 Lelong-Ferrand, Jacqueline 1 Li, Liulan 1 Loboda, Aleksandr 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. ...and 18 more Co-Authors all top 5 Serials 19 Journal of Mathematical Analysis and Applications 13 Proceedings of the American Mathematical Society 11 Computational Methods and Function Theory 8 Transactions of the American Mathematical Society 8 Complex Variables and Elliptic Equations 7 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 6 Mathematische Zeitschrift 6 Doklady Mathematics 6 Journal of Inequalities and Applications 5 Israel Journal of Mathematics 5 Mathematica Scandinavica 5 Publicationes Mathematicae Debrecen 5 Complex Variables. Theory and Application 5 Annales Academiae Scientiarum Fennicae. Mathematica 4 Journal of Computational and Applied Mathematics 4 Monatshefte für Mathematik 4 SIAM Journal on Mathematical Analysis 4 Expositiones Mathematicae 4 The Journal of Analysis 4 ETNA. Electronic Transactions on Numerical 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 the London Mathematical Society. Second Series 3 Mathematische Nachrichten 3 Pacific Journal of Mathematics 3 The Journal of Geometric Analysis 3 Filomat 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 Czechoslovak Mathematical Journal 2 Nagoya Mathematical Journal 2 Results in Mathematics 2 Tôhoku Mathematical Journal. Second Series 2 Forum Mathematicum 2 Advances in Computational Mathematics 2 Abstract and Applied Analysis 2 Conformal Geometry and Dynamics 2 Boundary Value Problems 2 Lecture Notes in Mathematics 2 Complex Analysis and its Synergies 1 American Mathematical Monthly 1 Arkhimedes 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 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 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 Studia Scientiarum Mathematicarum Hungarica 1 Analysis 1 Constructive Approximation 1 Aequationes Mathematicae 1 Applied Mathematical Modelling 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 The Ramanujan Journal 1 Annals of Combinatorics 1 Journal of the Australian Mathematical Society 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Bulletin of the Brazilian Mathematical Society. New 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 Analysis and Mathematical Physics 1 Problemy Analiza. Issues of Analysis 1 Pure and Applied Functional Analysis 1 Springer Monographs in Mathematics all top 5 Fields 208 Functions of a complex variable (30-XX) 56 Special functions (33-XX) 44 Potential theory (31-XX) 32 Geometry (51-XX) 23 Real functions (26-XX) 18 Numerical analysis (65-XX) 10 Partial differential equations (35-XX) 6 General and overarching topics; collections (00-XX) 6 Functional analysis (46-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Number theory (11-XX) 4 Measure and integration (28-XX) 4 General topology (54-XX) 3 History and biography (01-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 3 Differential geometry (53-XX) 2 Convex and discrete geometry (52-XX) 1 Combinatorics (05-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 224 Publications have been cited 3,928 times in 1,869 Documents Cited by ▼ Year ▼ Conformal invariants, inequalities, and quasiconformal maps. Zbl 0885.30012 Anderson, Glen Douglas; Vamanamurthy, Mavina Krishna; Vuorinen, Matti 348 1997 Conformal geometry and quasiregular mappings. Zbl 0646.30025 Vuorinen, Matti 314 1988 Generalized elliptic integrals and modular equations. Zbl 0951.33012 Anderson, G. D.; Qiu, S.-L.; Vamanamurthu, M. K.; Vuorinen, M. 161 2000 Generalized convexity and inequalities. Zbl 1125.26017 Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 116 2007 Asymptotic expansions and inequalities for hypergeometric functions. Zbl 0897.33001 Ponnusamy, S.; Vuorinen, M. 116 1997 Inequalities for zero-balanced hypergeometric functions. Zbl 0826.33003 Anderson, G. D.; Barnard, R. W.; Richards, K. C.; Vamanamurthy, M. K.; Vuorinen, M. 107 1995 Inequalities for quasiconformal mappings in space. Zbl 0793.30014 Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 78 1993 Functional inequalities for hypergeometric functions and complete elliptic integrals. Zbl 0764.33009 Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 71 1992 Inequalities for means. Zbl 0802.26009 Vamanamurthy, M. K.; Vuorinen, M. 70 1994 Univalence and convexity properties for Gaussian hypergeometric functions. Zbl 0973.30017 Ponnusamy, S.; Vuorinen, M. 68 2001 The Cantor function. Zbl 1098.26006 Dovgoshey, O.; Martio, O.; Ryazanov, V.; Vuorinen, M. 65 2006 Functional inequalities for complete elliptic integrals and their ratios. Zbl 0692.33001 Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 65 1990 Generalized elliptic integrals. Zbl 1198.33002 Heikkala, Ville; Vamanamurthy, Mavina K.; Vuorinen, Matti 64 2009 On harmonic functions and the Schwarz lemma. Zbl 1247.31002 Kalaj, David; Vuorinen, Matti 61 2012 Conformal invariants and quasiregular mappings. Zbl 0601.30025 Vuorinen, Matti 60 1985 On conformal dilatation in space. Zbl 1133.30319 Bishop, Christopher J.; Gutlyanskiĭ, Vladimir Ya.; Martio, Olli; Vuorinen, Matti 53 2003 Dimensions, Whitney covers, and tubular neighborhoods. Zbl 1298.28011 Kaenmaki, Antti; Lehrback, Juha; Vuorinen, Matti 51 2013 Conformal invariants, quasiconformal maps, and spectral functions. Zbl 0767.30018 Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 51 1992 Conformally invariant metrics and quasiconformal mappings. Zbl 1450.30003 Hariri, Parisa; Klén, Riku; Vuorinen, Matti 48 2020 Monotonicity rules in calculus. Zbl 1167.26306 Anderson, Glen; Vamanamurthy, Mavina; Vourinen, Matti 45 2006 Whitney cubes, p-capacity, and Minkowski content. Zbl 0632.30023 Martio, O.; Vuorinen, M. 42 1987 Some properties of the gamma and psi functions, with applications. Zbl 1060.33006 Qiu, S.-L.; Vuorinen, M. 41 2005 On the degenerate Beltrami equation. Zbl 1066.30021 Gutlyanskii, V.; Martio, O.; Sugawa, T.; Vuorinen, M. 41 2005 Hypergeometric functions in geometric function theory. Zbl 0948.30024 Vuorinen, Matti 37 1998 On harmonic quasiconformal quasi-isometries. Zbl 1211.30040 Mateljević, M.; Vuorinen, M. 35 2010 Exceptional sets and boundary behavior of quasiregular mappings in n- space. Zbl 0362.30024 Vuorinen, Matti 34 1976 Uniformly perfect sets and quasiregular mappings. Zbl 0872.30014 Järvi, P.; Vuorinen, M. 34 1996 Special functions in geometric function theory. Zbl 1073.30007 Qiu, S.-L.; Vuorinen, M. 33 2005 Special functions of quasiconformal theory. Zbl 0686.30015 Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 33 1989 On Jordan type inequalities for hyperbolic functions. Zbl 1211.26015 Klén, R.; Visuri, M.; Vuorinen, M. 32 2010 On moduli of rings and quadrilaterals: algorithms and experiments. Zbl 1368.65036 Hakula, Harri; Rasila, Antti; Vuorinen, Matti 31 2011 Radius of close-to-convexity and fully starlikeness of harmonic mappings. Zbl 1295.31005 Kalaj, David; Ponnusamy, Saminathan; Vuorinen, Matti 31 2014 On generalized trigonometric functions with two parameters. Zbl 1257.33052 Bhayo, Barkat Ali; Vuorinen, Matti 31 2012 Infinite products and normalized quotients of hypergeometric functions. Zbl 0931.30011 Qiu, S.-L.; Vuorinen, M. 29 1999 Duplication inequalities for the ratios of hypergeometric functions. Zbl 0938.33001 Qiu, Song-Liang; Vuorinen, Matti 28 2000 Inequalities for the generalized trigonometric and hyperbolic functions. Zbl 1306.33013 Klén, Riku; Vuorinen, Matti; Zhang, Xiaohui 28 2014 Generalized elliptic integrals and the Legendre \(\mathcal M\)-function. Zbl 1135.33008 Heikkala, V.; Lindén, H.; Vamanamurthy, M. K.; Vuorinen, M. 27 2008 Functional inequalities for the quotients of hypergeometric functions. Zbl 0890.33004 Balasubramanian, R.; Ponnusamy, S.; Vuorinen, M. 26 1998 On generalized complete elliptic integrals and modular functions. Zbl 1267.33015 Bhayo, B. A.; Vuorinen, M. 26 2012 Univalence and convexity properties for confluent hypergeometric functions. Zbl 0902.30011 Ponnusamy, S.; Vuorinen, M. 25 1998 On hypergeometric functions and function spaces. Zbl 1172.33302 Balasubramanian, R.; Ponnusamy, S.; Vuorinen, M. 24 2002 Landen inequalities for hypergeometric functions. Zbl 0944.33004 Qiu, S.-L.; Vuorinen, M. 24 1999 On the existence of angular limits of \(n\)-dimensional quasiconformal mappings. Zbl 0461.30014 Vuorinen, Matti 24 1980 Some properties of a class of elliptic partial differential operators. Zbl 1327.30042 Chen, Shaolin; Vuorinen, Matti 24 2015 Landen inequalities for zero-balanced hypergeometric functions. Zbl 1241.26021 Simić, Slavko; Vuorinen, Matti 24 2012 Dimension-free quasiconformal distortion in n-space. Zbl 0632.30022 Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 24 1986 Some inequalities for the Hersch-Pfluger distortion function. Zbl 0946.30010 Qiu, S.-L.; Vamanamurthy, M. K.; Vuorinen, M. 23 1999 Hypergeometric functions and elliptic integrals. Zbl 0984.33502 Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 23 1992 Lipschitz conditions, triangular ratio metric, and quasiconformal maps. Zbl 1374.30069 Chen, Jiaolong; Hariri, Parisa; Klén, Riku; Vuorinen, Matti 23 2015 Distortion functions for plane quasiconformal mappings. Zbl 0652.30013 Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 23 1988 Some inequalities for the Poincaré metric of plane domains. Zbl 1081.30040 Sugawa, Toshiyuki; Vuorinen, Matti 21 2005 Singular values, Ramanujan modular equations, and Landen transformations. Zbl 0872.30010 Vuorinen, M. 21 1996 Some inequalities for the growth of elliptic integrals. Zbl 0908.33012 Qiu, S.-L.; Vamanamurthy, M. K.; Vuorinen, M. 20 1998 Topics in special functions. Zbl 1026.33001 Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 20 2001 Inequalities and bi-Lipschitz conditions for the triangular ratio metric. Zbl 1376.30019 Hariri, Parisa; Vuorinen, Matti; Zhang, Xiaohui 19 2017 Starlikeness of the Gaussian hypergeometric functions. Zbl 1187.30017 Hästö, Peter; Ponnusamy, S.; Vuorinen, M. 18 2010 Hardy’s inequality for \(W_0^{1,p}\)-functions on Riemannian manifolds. Zbl 0946.58009 Miklyukov, Vladimir M.; Vuorinen, Matti K. 18 1999 BMO and injectivity of space quasiregular mappings. Zbl 0935.30016 Martio, Olli; Ryazanov, Vladimir; Vuorinen, Matti 18 1999 Capacity densities and angular limits of quasiregular mappings. Zbl 0461.30015 Vuorinen, Matti 18 1981 Thick sets and quasisymmetric maps. Zbl 0803.30016 Väisälä, Jussi; Vuorinen, Matti; Wallin, Hans 17 1994 Inequalities for eigenfunctions of the \(p\)-Laplacian. Zbl 1294.33001 Bhayo, B. A.; Vuorinen, M. 17 2013 Topics in special functions. II. Zbl 1133.30315 Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 16 2007 Estimates for the hyperbolic metric of the punctured plane and applications. Zbl 1021.30047 Solynin, A. Yu.; Vuorinen, M. 16 2001 Functional inequalities for modified Bessel functions. Zbl 1237.39023 Baricz, Árpád; Ponnusamy, Saminathan; Vuorinen, Matti 16 2011 Mori’s theorem for \(n\)-dimensional quasiconformal mappings. Zbl 0615.30018 Fehlmann, R.; Vuorinen, M. 16 1988 Turań type inequalities for generalized inverse trigonometric functions. Zbl 1474.33001 Baricz, Árpád; Bhayo, Barkat Ali; Vuorinen, Matti 15 2015 Infinitesimal geometry of quasilinear mappings. Zbl 0938.30014 Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M. 14 2000 Topics in special functions. III. Zbl 1323.33001 Anderson, Glen D.; Vuorinen, Matti; Zhang, Xiaohui 14 2014 The visual angle metric and Möbius transformations. Zbl 1307.30082 Klén, Riku; Lindén, Henri; Vuorinen, Matti; Wang, Gendi 14 2014 Linear approximation property, Minkowski dimension, and quasiconformal spheres. Zbl 0671.30018 Mattila, P.; Vuorinen, M. 14 1990 Precise estimates for differences of the Gaussian hypergeometric function. Zbl 0885.33002 Anderson, G. D.; Qiu, S.-L.; Vuorinen, M. 13 1997 Quadruples and spatial quasiconformal mappings. Zbl 0692.30018 Vuorinen, Matti 13 1990 The computation of capacity of planar condensers. Zbl 1079.78024 Betsakos, Dimitrios; Samuelsson, Klas; Vuorinen, Matti 12 2004 On convergence theorems for space quasiregular mappings. Zbl 0907.30024 Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M. 12 1998 Robin functions and distortion theorems for regular mappings. Zbl 1210.30008 Dubinin, V. N.; Vuorinen, M. 12 2010 Some remarks on the Cassinian metric. Zbl 1399.51009 Hariri, Parosa; Klén, Riku; Vourinen, Matti; Zhang, Xiaohui 12 2017 On exterior moduli of quadrilaterals and special functions. Zbl 1276.33028 Vuorinen, Matti; Zhang, Xiaohui 11 2013 Computation of exterior moduli of quadrilaterals. Zbl 1305.65110 Hakula, Harri; Rasila, Antti; Vuorinen, Matti 11 2013 Bernoulli inequality and hypergeometric functions. Zbl 1288.26011 Klén, Riku; Manojlović, Vesna; Simić, Slavko; Vuorinen, Matti 11 2014 On capacity computation for symmetric polygonal condensers. Zbl 1416.65076 Bezrodnykh, Sergei; Bogatyrëv, Andrei; Goreinov, Sergei; Grigor’ev, Oleg; Hakula, Harri; Vuorinen, Matti 11 2019 The visual angle metric and quasiregular maps. Zbl 1355.30020 Wang, Gendi; Vuorinen, Matti 11 2016 Comparison theorems for hyperbolic type metrics. Zbl 1354.54026 Dovgoshey, Oleksiy; Hariri, Parisa; Vuorinen, Matti 11 2016 Elliott’s identity and hypergeometric functions. Zbl 1011.33010 Balasubramanian, R.; Naik, S.; Ponnusamy, S.; Vuorinen, M. 10 2002 On local injectivity and asymptotic linearity of quasiregular mappings. Zbl 0893.30012 Gutlyanskiĭ, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M. 10 1998 Lipschitz conditions in conformally invariant metrics. Zbl 0758.30018 Ferrand, J.; Martin, G. J.; Vuorinen, M. 10 1991 Computation of conformal invariants. Zbl 1474.65060 Nasser, Mohamed M. S.; Vuorinen, Matti 10 2021 On hypergeometric functions and generalizations of Legendre’s relation. Zbl 0983.33002 Karatsuba, E. A.; Vuorinen, M. 9 2001 Bounds for quasiconformal distortion functions. Zbl 0871.30019 Qiu, S. L.; Vamanamurthy, M. K.; Vuorinen, M. 9 1997 Sharp distortion theorems for quasiconformal mappings. Zbl 0639.30019 Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 9 1988 Numerical computation of the capacity of generalized condensers. Zbl 1524.65114 Nasser, Mohamed M. S.; Vuorinen, Matti 9 2020 On conformal moduli of polygonal quadrilaterals. Zbl 1182.30011 Dubinin, V. N.; Vuorinen, M. 9 2009 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 Weakly quasisymmetric maps and uniform spaces. Zbl 1404.30033 Li, Yaxiang; Vuorinen, Matti; Zhou, Qingshan 8 2018 On quasimöbius maps in real Banach spaces. Zbl 1285.30007 Huang, M.; Li, Y.; Vuorinen, M.; Wang, X. 8 2013 Quasihyperbolic metric and Möbius transformations. Zbl 1408.30027 Klén, Riku; Vuorinen, Matti; Zhang, Xiaohui 8 2014 On the order of quasiregular mappings. Zbl 0516.30018 Rickman, S.; Vuorinen, M. 8 1982 Distortion of quasiconformal mappings with identity boundary values. Zbl 1307.30056 Vuorinen, Matti; Zhang, Xiaohui 8 2014 Modular equations and distortion functions. Zbl 1205.30015 Anderson, G. D.; Qiu, S.-L.; Vuorinen, M. 8 2009 Triangular ratio metric in the unit disk. Zbl 1494.30046 Rainio, Oona; Vuorinen, Matti 8 2022 Moduli of quadrilaterals and quasiconformal reflection. Zbl 1516.30010 Nasyrov, Semen; Sugawa, Toshiyuki; Vuorinen, Matti 6 2023 Triangular ratio metric under quasiconformal mappings in sector domains. Zbl 1516.30032 Rainio, Oona; Vuorinen, Matti 5 2023 Conformally invariant complete metrics. Zbl 1529.30025 Sugawa, Toshiyuki; Vuorinen, Matti; Zhang, Tanran 3 2023 Numerical computation of a preimage domain for an infinite strip with rectilinear slits. Zbl 1508.30018 Kalmoun, El Mostafa; Nasser, Mohamed M. S.; Vuorinen, Matti 1 2023 Hilbert metric in the unit ball. Zbl 07773856 Rainio, Oona; Vuorinen, Matti 1 2023 Conformal capacity and polycircular domains. Zbl 1508.31002 Hakula, Harri; Nasser, Mohamed M. S.; Vuorinen, Matti 1 2023 Triangular ratio metric in the unit disk. Zbl 1494.30046 Rainio, Oona; Vuorinen, Matti 8 2022 Condenser capacity and hyperbolic perimeter. Zbl 1524.31006 Nasser, Mohamed M. S.; Rainio, Oona; Vuorinen, Matti 8 2022 Introducing a new intrinsic metric. Zbl 1515.51012 Rainio, Oona; Vuorinen, Matti 7 2022 Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals. Zbl 1501.65012 Nasser, Mohamed; Rainio, Oona; Rasila, Antti; Vuorinen, Matti; Wallace, Terry; Yu, Hang; Zhang, Xiaohui 2 2022 Condenser capacity and hyperbolic diameter. Zbl 1494.31007 Nasser, Mohamed M. S.; Rainio, Oona; Vuorinen, Matti 2 2022 Metrics and quasimetrics induced by point pair function. Zbl 1503.30057 Dautova, Dina; Nasyrov, Semen; Rainio, Oona; Vuorinen, Matti 2 2022 Level sets of potential functions bisecting unbounded quadrilaterals. Zbl 1502.30031 Nasser, Mohamed M. S.; Nasyrov, Semen; Vuorinen, Matti 1 2022 Computation of conformal invariants. Zbl 1474.65060 Nasser, Mohamed M. S.; Vuorinen, Matti 10 2021 Barrlund’s distance function and quasiconformal maps. Zbl 1476.30094 Fujimura, Masayo; Mocanu, Marcelina; Vuorinen, Matti 7 2021 Conformal modulus of the exterior of two rectilinear slits. Zbl 1462.30015 Dautova, D.; Nasyrov, S.; Vuorinen, M. 5 2021 On cyclic quadrilaterals in Euclidean and hyperbolic geometries. Zbl 1499.51017 Wang, Gendi; Vuorinen, Matti; Zhang, Xiaohui 5 2021 Remarks on the scale-invariant Cassinian metric. Zbl 1462.30085 Wang, Gendi; Xu, Xiaoxue; Vuorinen, Matti 4 2021 Isoperimetric properties of condenser capacity. Zbl 1462.30048 Nasser, Mohamed M. S.; Vuorinen, Matti 2 2021 Conformal moduli of symmetric circular quadrilaterals with cusps. Zbl 1470.65039 Hakula, Harri; Nasyrov, Semen; Vuorinen, Matti 2 2021 A new intrinsic metric and quasiregular maps. Zbl 1469.30120 Fujimura, Masayo; Mocanu, Marcelina; Vuorinen, Matti 2 2021 Intrinsic geometry and boundary structure of plane domains. Zbl 1476.30107 Rainio, O.; Sugawa, T.; Vuorinen, M. 1 2021 Conformally invariant metrics and quasiconformal mappings. Zbl 1450.30003 Hariri, Parisa; Klén, Riku; Vuorinen, Matti 48 2020 Numerical computation of the capacity of generalized condensers. Zbl 1524.65114 Nasser, Mohamed M. S.; Vuorinen, Matti 9 2020 Conformal invariants in simply connected domains. Zbl 1459.65035 Nasser, Mohamed M. S.; Vuorinen, Matti 6 2020 Teichmüller’s theorem in higher dimensions and its applications. Zbl 1467.30014 Golberg, Anatoly; Sugawa, Toshiyuki; Vuorinen, Matti 5 2020 Apollonian metric, uniformity and Gromov hyperbolicity. Zbl 1445.30011 Li, Yaxiang; Vuorinen, Matti; Zhou, Qingshan 5 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 3 2020 Numerical computation of Mityuk’s function and radius for circular/radial slit domains. Zbl 1443.30004 Kalmoun, El Mostafa; Nasser, Mohamed M. S.; Vuorinen, Matti 1 2020 On the hyperbolic distance of \(n\)-times punctured spheres. Zbl 1465.53055 Sugawa, Toshiyuki; Vuorinen, Matti; Zhang, Tanran 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 11 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 6 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 Weakly quasisymmetric maps and uniform spaces. Zbl 1404.30033 Li, Yaxiang; Vuorinen, Matti; Zhou, Qingshan 8 2018 Conformal modulus and planar domains with strong singularities and cusps. Zbl 1415.65064 Hakula, Harri; Rasila, Antti; Vuorinen, Matti 7 2018 Local convexity of metric balls. Zbl 1395.51019 Hariri, Parisa; Klén, Riku; Vuorinen, Matti 3 2018 Inequalities and bi-Lipschitz conditions for the triangular ratio metric. Zbl 1376.30019 Hariri, Parisa; Vuorinen, Matti; Zhang, Xiaohui 19 2017 Some remarks on the Cassinian metric. Zbl 1399.51009 Hariri, Parosa; Klén, Riku; Vourinen, Matti; Zhang, Xiaohui 12 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 Teichmüller’s problem in space. Zbl 1397.30023 Klén, R.; Todorčević, V.; Vuorinen, M. 1 2017 The visual angle metric and quasiregular maps. Zbl 1355.30020 Wang, Gendi; Vuorinen, Matti 11 2016 Comparison theorems for hyperbolic type metrics. Zbl 1354.54026 Dovgoshey, Oleksiy; Hariri, Parisa; Vuorinen, Matti 11 2016 Balls in the triangular ratio metric. Zbl 1362.30031 Hokuni, S.; Klén, R.; Li, Y.; Vuorinen, M. 7 2016 Geometric properties of \(\varphi \)-uniform domains. Zbl 1366.30019 Hästö, Peter; Klén, Riku; Sahoo, Swadesh Kumar; Vuorinen, Matti 7 2016 Some remarks on the visual angle metric. Zbl 1355.30019 Hariri, Parisa; Vuorinen, Matti; Wang, Gendi 4 2016 On quasi-inversions. Zbl 1351.30006 Kalaj, David; Vuorinen, Matti; Wang, Gendi 3 2016 On isometries of conformally invariant metrics. Zbl 1345.30025 Klén, Riku; Vuorinen, Matti; Zhang, Xiaohui 2 2016 Some properties of a class of elliptic partial differential operators. Zbl 1327.30042 Chen, Shaolin; Vuorinen, Matti 24 2015 Lipschitz conditions, triangular ratio metric, and quasiconformal maps. Zbl 1374.30069 Chen, Jiaolong; Hariri, Parisa; Klén, Riku; Vuorinen, Matti 23 2015 Turań type inequalities for generalized inverse trigonometric functions. Zbl 1474.33001 Baricz, Árpád; Bhayo, Barkat Ali; Vuorinen, Matti 15 2015 Sharp Lipschitz constants for the distance ratio metric. Zbl 1311.30004 Simić, Slavko; Vuorinen, Matti; Wang, Gendi 5 2015 Lipschitz conditions and the distance ratio metric. Zbl 1461.51020 Simić, Slavko; Vuorinen, Matti 2 2015 Radius of close-to-convexity and fully starlikeness of harmonic mappings. Zbl 1295.31005 Kalaj, David; Ponnusamy, Saminathan; Vuorinen, Matti 31 2014 Inequalities for the generalized trigonometric and hyperbolic functions. Zbl 1306.33013 Klén, Riku; Vuorinen, Matti; Zhang, Xiaohui 28 2014 Topics in special functions. III. Zbl 1323.33001 Anderson, Glen D.; Vuorinen, Matti; Zhang, Xiaohui 14 2014 The visual angle metric and Möbius transformations. Zbl 1307.30082 Klén, Riku; Lindén, Henri; Vuorinen, Matti; Wang, Gendi 14 2014 Bernoulli inequality and hypergeometric functions. Zbl 1288.26011 Klén, Riku; Manojlović, Vesna; Simić, Slavko; Vuorinen, Matti 11 2014 Quasihyperbolic metric and Möbius transformations. Zbl 1408.30027 Klén, Riku; Vuorinen, Matti; Zhang, Xiaohui 8 2014 Distortion of quasiconformal mappings with identity boundary values. Zbl 1307.30056 Vuorinen, Matti; Zhang, Xiaohui 8 2014 On the stability of \(\varphi\)-uniform domains. Zbl 1297.30069 Klén, R.; Li, Y.; Sahoo, S. K.; Vuorinen, M. 7 2014 Ahlfors-Beurling conformal invariant and relative capacity of compact sets. Zbl 1302.30027 Dubinin, Vladimir N.; Vuorinen, Matti 6 2014 Freely quasiconformal maps and distance ratio metric. Zbl 1310.30023 Li, Yaxiang; Ponnusamy, Saminathan; Vuorinen, Matti 3 2014 Quasiconformal maps with bilipschitz or identity boundary values in Banach spaces. Zbl 1410.30017 Li, Yaxiang; Vuorinen, Matti; Wang, Xiantao 2 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 51 2013 Inequalities for eigenfunctions of the \(p\)-Laplacian. Zbl 1294.33001 Bhayo, B. A.; Vuorinen, M. 17 2013 On exterior moduli of quadrilaterals and special functions. Zbl 1276.33028 Vuorinen, Matti; Zhang, Xiaohui 11 2013 Computation of exterior moduli of quadrilaterals. Zbl 1305.65110 Hakula, Harri; Rasila, Antti; Vuorinen, Matti 11 2013 On quasimöbius maps in real Banach spaces. Zbl 1285.30007 Huang, M.; Li, Y.; Vuorinen, M.; Wang, X. 8 2013 Metrization of weighted graphs. Zbl 1272.05031 Dovgoshey, Oleksiy; Martio, Olli; Vuorinen, Matti 7 2013 Lipschitz spaces and bounded mean oscillation of harmonic mappings. Zbl 1272.31001 Chen, Shaolin; Ponnusamy, Saminathan; Vuorinen, Matti; Wang, Xiantao 6 2013 Inclusion relations of hyperbolic type metric balls. II. Zbl 1289.30221 Klén, Riku; Vuorinen, Matti 5 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 On the subinvariance of uniform domains in Banach spaces. Zbl 1306.46013 Huang, M.; Vuorinen, M.; Wang, X. 1 2013 Subdomain geometry of hyperbolic type metrics. Zbl 1289.30220 Klén, R.; Li, Y.; Vuorinen, M. 1 2013 On harmonic functions and the Schwarz lemma. Zbl 1247.31002 Kalaj, David; Vuorinen, Matti 61 2012 On generalized trigonometric functions with two parameters. Zbl 1257.33052 Bhayo, Barkat Ali; Vuorinen, Matti 31 2012 On generalized complete elliptic integrals and modular functions. Zbl 1267.33015 Bhayo, B. A.; Vuorinen, M. 26 2012 Landen inequalities for zero-balanced hypergeometric functions. Zbl 1241.26021 Simić, Slavko; Vuorinen, Matti 24 2012 Inclusion relations of hyperbolic type metric balls. Zbl 1299.30118 Klén, Riku; Vuorinen, Matti 3 2012 On moduli of rings and quadrilaterals: algorithms and experiments. Zbl 1368.65036 Hakula, Harri; Rasila, Antti; Vuorinen, Matti 31 2011 Functional inequalities for modified Bessel functions. Zbl 1237.39023 Baricz, Árpád; Ponnusamy, Saminathan; Vuorinen, Matti 16 2011 On quasiconformal maps with identity boundary values. Zbl 1226.30024 Manojlović, V.; Vuorinen, M. 5 2011 On Mori’s theorem for quasiconformal maps in the \(n\)-space. Zbl 1278.30025 Bhayo, B. A.; Vuorinen, M. 4 2011 On quotients and differences of hypergeometric functions. Zbl 1275.33008 Simić, Slavko; Vuorinen, Matti 3 2011 On Kaluza’s sign criterion for reciprocal power series. Zbl 1260.30002 Baricz, Árpád; Vesti, Jetro; Vuorinen, Matti 3 2011 Hölder continuity of harmonic quasiconformal mappings. Zbl 1272.30037 Arsenović, Miloš; Manojlović, Vesna; Vuorinen, Matti 2 2011 Apollonian circles and hyperbolic geometry. Zbl 1285.51017 Klén, Riku; Vuorinen, Matti 1 2011 Norm inequalities for vector functions. Zbl 1221.26027 Bhayo, B. A.; Božin, V.; Kalaj, D.; Vuorinen, M. 1 2011 On harmonic quasiconformal quasi-isometries. Zbl 1211.30040 Mateljević, M.; Vuorinen, M. 35 2010 On Jordan type inequalities for hyperbolic functions. Zbl 1211.26015 Klén, R.; Visuri, M.; Vuorinen, M. 32 2010 Starlikeness of the Gaussian hypergeometric functions. Zbl 1187.30017 Hästö, Peter; Ponnusamy, S.; Vuorinen, M. 18 2010 Robin functions and distortion theorems for regular mappings. Zbl 1210.30008 Dubinin, V. N.; Vuorinen, M. 12 2010 Geometry of metrics. Zbl 1236.30022 Vuorinen, Matti 5 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. 5 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 ...and 124 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,433 Authors 139 Chu, Yuming 123 Vuorinen, Matti Keijo Kustaa 75 Ponnusamy, Saminathan 72 Sevost’yanov, Yevgen Oleksandrovych 63 Wang, Miaokun 45 Yang, Zhenhang 40 Qiu, Songliang 39 Zhu, Ling 38 Ryazanov, Vladimir Il’ich 36 Kalaj, David 36 Zhang, Xiaohui 36 Zhao, Tiehong 35 Salimov, Ruslan Radikovich 33 Baricz, Árpád 32 Rasila, Antti 30 Qian, Weimao 26 Qi, Feng 26 Wang, Xiantao 24 Chen, Chaoping 24 Chen, Shaolin 23 Wang, Gendi 23 Zhou, Qingshan 22 Noor, Khalida Inayat 22 Noor, Muhammad Aslam 22 Sugawa, Toshiyuki 21 Golberg, Anatoly 20 Bagul, Yogesh Jibhau 20 Gutlyanskiĭ, Vladimir Ya. 19 Klén, Riku 19 Mateljević, Miodrag S. 18 Li, Yaxiang 17 Martio, Olli 17 Rainio, Oona 17 Zhang, Wen 16 Bhayo, Barkat Ali 16 Fletcher, Alastair N. 16 Mehrez, Khaled 15 Anderson, Glen Douglas 15 Dubinin, Vladimir N. 15 Karp, Dmitriĭ Borisovich 15 Ma, Xiaoyan 15 Nasyrov, Semen R. 15 Sahoo, Swadesh Kumar 15 Yakubov, Eduard H. 14 Dragomir, Sever Silvestru 14 Jiang, Yueping 14 Nasser, Mohamed M. S. 14 Tian, Jingfeng 14 Yin, Li 13 Alzer, Horst 13 He, Zaiyin 13 Malešević, Branko J. 13 Neuman, Edward 13 Song, Yingqing 13 Vamanamurthy, Mavina Krishna 12 Betsakos, Dimitrios 12 Koskela, Pekka 12 Solynin, Alexander Yu. 11 Hästö, Peter A. 11 Huang, Manzi 11 Huang, TiRen 11 Miklyukov, Vladimir Mikhaiĭlovich 11 Mortici, Cristinel 11 Prilepkina, Elena Gumarovna 11 Safdar, Farhat 11 Shimomura, Tetsu 10 Avkhadiev, Farit Gabidinovich 10 Chesneau, Christophe 10 Fraser, Jonathan MacDonald 10 Richards, Kendall C. 10 Wu, Shanhe 9 Afanas’eva, Elena Sergeevna 9 Aseev, Vladislav Vasil’evich 9 Chu, Hong-Hu 9 Dhaigude, Ramkrishna M. 9 Iftikhar, Sabah 9 Li, Peijin 9 Long, Boyong 9 Zhu, Jianfeng 8 Barnard, Roger W. 8 Fernández-Sánchez, Juan 8 Hakula, Harri 8 Hare, Kathryn E. 8 Ibragimov, Zair 8 Lehrbäck, Juha 8 Marković, Marijan 8 Nicks, Daniel A. 8 Srebro, Uri 8 Srivastava, Hari Mohan 8 Ukhlov, Alexander Dadar-Oolovich 7 Balasubramanian, Ramachandran 7 Debnath, Lokenath 7 Futamura, Toshihide 7 Guo, Bai-Ni 7 Heinonen, Juha 7 Khalfallah, Adel 7 Lin, Xiuli 7 Mizuta, Yoshihiro 7 Sixsmith, David Jonathan 7 Skvortsov, Sergei Aleksandrovich ...and 1,333 more Authors all top 5 Cited in 336 Serials 130 Journal of Mathematical Analysis and Applications 101 Journal of Inequalities and Applications 59 Computational Methods and Function Theory 55 Journal of Mathematical Sciences (New York) 50 Complex Variables and Elliptic Equations 48 Proceedings of the American Mathematical Society 39 Journal of Mathematical Inequalities 38 Journal d’Analyse Mathématique 35 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. 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Issues of Analysis 10 Mathematical Notes 10 Advances in Mathematics 10 International Journal of Mathematics and Mathematical Sciences 10 Journal of Functional Analysis 10 Applicable Analysis and Discrete Mathematics 10 Open Mathematics 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Mediterranean Journal of Mathematics 8 Analysis Mathematica 8 Journal of Approximation Theory 8 Mathematische Nachrichten 8 Revista Matemática Iberoamericana 8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 8 Applied Mathematics. Series B (English Edition) 8 Advances in Difference Equations 7 Bulletin of the Australian Mathematical Society 7 Expositiones Mathematicae 7 Indagationes Mathematicae. New Series 7 Calculus of Variations and Partial Differential Equations 7 Acta Mathematica Scientia. Series B. (English Edition) 7 Complex Analysis and its Synergies 6 Archive for Rational Mechanics and Analysis 6 Arkiv för Matematik 6 Mathematics of Computation 6 Czechoslovak Mathematical Journal 6 Mathematische Annalen 6 Mathematica Slovaca 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Ergodic Theory and Dynamical Systems 6 St. Petersburg Mathematical Journal 6 Communications of the Korean Mathematical Society 6 Acta Mathematica Sinica. English Series 6 Journal of the Australian Mathematical Society 6 Science China. Mathematics 6 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 6 International Journal of Analysis and Applications 5 Mathematical Methods in the Applied Sciences 5 Bulletin of the London Mathematical Society 5 Duke Mathematical Journal 5 Journal of Differential Equations 5 Manuscripta Mathematica 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Acta Mathematica Hungarica 5 Fractals 5 Bulletin des Sciences Mathématiques 5 Sbornik: Mathematics 5 Sibirskie Èlektronnye Matematicheskie Izvestiya 5 Journal of Classical Analysis 4 Indian Journal of Pure & Applied Mathematics 4 Studia Mathematica 4 Acta Mathematica 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Michigan Mathematical Journal 4 Tôhoku Mathematical Journal. Second Series 4 Topology and its Applications 4 Computational Mathematics and Mathematical Physics 4 Aequationes Mathematicae 4 Stochastic Processes and their Applications 4 Journal of Applied Mathematics 4 Boundary Value Problems ...and 236 more Serials all top 5 Cited in 56 Fields 850 Functions of a complex variable (30-XX) 562 Real functions (26-XX) 497 Special functions (33-XX) 253 Potential theory (31-XX) 125 Partial differential equations (35-XX) 83 Functional analysis (46-XX) 68 Measure and integration (28-XX) 66 Geometry (51-XX) 52 Dynamical systems and ergodic theory (37-XX) 46 Numerical analysis (65-XX) 44 Number theory (11-XX) 41 Approximations and expansions (41-XX) 40 Differential geometry (53-XX) 39 Several complex variables and analytic spaces (32-XX) 37 Probability theory and stochastic processes (60-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 32 General topology (54-XX) 26 Operator theory (47-XX) 22 Ordinary differential equations (34-XX) 22 Global analysis, analysis on manifolds (58-XX) 19 Difference and functional equations (39-XX) 19 Statistics (62-XX) 14 Sequences, series, summability (40-XX) 10 Combinatorics (05-XX) 10 Integral transforms, operational calculus (44-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Convex and discrete geometry (52-XX) 10 Fluid mechanics (76-XX) 9 Manifolds and cell complexes (57-XX) 8 Integral equations (45-XX) 8 Computer science (68-XX) 8 Quantum theory (81-XX) 7 Biology and other natural sciences (92-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Operations research, mathematical programming (90-XX) 5 Algebraic geometry (14-XX) 5 Group theory and generalizations (20-XX) 5 Information and communication theory, circuits (94-XX) 4 Mathematical logic and foundations (03-XX) 4 Topological groups, Lie groups (22-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Abstract harmonic analysis (43-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 3 Relativity and gravitational theory (83-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Algebraic topology (55-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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