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: 254 Publications since 1976, including 3 Books 4 Contributions as Editor Reviewing Activity: 386 Reviews Biographic References: 1 Publication Co-Authors: 114 Co-Authors with 222 Joint Publications 1,918 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 Nasser, Mohamed M. S. 11 Sugawa, Toshiyuki 11 Zhang, Xiaohui 10 Li, Yaxiang 10 Rasila, Antti 9 Rainio, Oona 9 Wang, Gendi 7 Hariri, Parisa 6 Bhayo, Barkat Ali 6 Hakula, Harri 6 Wang, Xiantao 5 Dovgoshey, Oleksiy Alfredovich 5 Dubinin, Vladimir N. 5 Nasyrov, Semen R. 5 Simić, Slavko 4 Fujimura, Masayo 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 Heikkala, Ville 3 Huang, Manzi 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 Sahoo, Swadesh Kumar 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, Evgeni M. 1 Dautova, Dina 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 Mikhaĭlovich 1 Grigor’yan, Alexander Asaturovich 1 Hariri, Parosa 1 Herron, David A. 1 Hokuni, S. 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 Mieczysław 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. 1 Samuelsson, Klas 1 Sergeev, Armen Glebovich 1 Suomala, Ville 1 Tkachev, Vladimir G. ...and 14 more Co-Authors all top 5 Serials 18 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 Complex Variables. Theory and Application 5 Annales Academiae Scientiarum Fennicae. Mathematica 4 Journal of Computational and Applied Mathematics 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 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 Czechoslovak Mathematical Journal 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 Advances in Computational Mathematics 2 Abstract and Applied Analysis 2 Conformal Geometry and Dynamics 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 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 Analysis 1 Constructive Approximation 1 Aequationes Mathematicae 1 Applied Mathematical Modelling 1 SIAM Journal on Scientific Computing 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 Complex Analysis and its Synergies 1 Springer Monographs in Mathematics all top 5 Fields 196 Functions of a complex variable (30-XX) 54 Special functions (33-XX) 42 Potential theory (31-XX) 25 Geometry (51-XX) 23 Real functions (26-XX) 15 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) 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) 3 General topology (54-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 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 214 Publications have been cited 3,377 times in 1,686 Documents Cited by ▼ Year ▼ Conformal geometry and quasiregular mappings. Zbl 0646.30025Vuorinen, Matti 283 1988 Conformal invariants, inequalities, and quasiconformal maps. Zbl 0885.30012Anderson, Glen Douglas; Vamanamurthy, Mavina Krishna; Vuorinen, Matti 269 1997 Generalized convexity and inequalities. Zbl 1125.26017Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 108 2007 Asymptotic expansions and inequalities for hypergeometric functions. Zbl 0897.33001Ponnusamy, S.; Vuorinen, M. 107 1997 Inequalities for zero-balanced hypergeometric functions. Zbl 0826.33003Anderson, G. D.; Barnard, R. W.; Richards, K. C.; Vamanamurthy, M. K.; Vuorinen, M. 102 1995 Generalized elliptic integrals and modular equations. Zbl 0951.33012Anderson, G. D.; Qiu, S.-L.; Vamanamurthu, M. K.; Vuorinen, M. 80 2000 Inequalities for quasiconformal mappings in space. Zbl 0793.30014Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 74 1993 Functional inequalities for hypergeometric functions and complete elliptic integrals. Zbl 0764.33009Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 67 1992 Inequalities for means. Zbl 0802.26009Vamanamurthy, M. K.; Vuorinen, M. 66 1994 Functional inequalities for complete elliptic integrals and their ratios. Zbl 0692.33001Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 62 1990 Univalence and convexity properties for Gaussian hypergeometric functions. Zbl 0973.30017Ponnusamy, S.; Vuorinen, M. 61 2001 The Cantor function. Zbl 1098.26006Dovgoshey, O.; Martio, O.; Ryazanov, V.; Vuorinen, M. 58 2006 Conformal invariants and quasiregular mappings. Zbl 0601.30025Vuorinen, Matti 56 1985 Generalized elliptic integrals. Zbl 1198.33002Heikkala, Ville; Vamanamurthy, Mavina K.; Vuorinen, Matti 55 2009 On harmonic functions and the Schwarz lemma. Zbl 1247.31002Kalaj, David; Vuorinen, Matti 53 2012 On conformal dilatation in space. Zbl 1133.30319Bishop, Christopher J.; Gutlyanskiĭ, Vladimir Ya.; Martio, Olli; Vuorinen, Matti 52 2003 Conformal invariants, quasiconformal maps, and spectral functions. Zbl 0767.30018Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 49 1992 Dimensions, Whitney covers, and tubular neighborhoods. Zbl 1298.28011Kaenmaki, Antti; Lehrback, Juha; Vuorinen, Matti 45 2013 Monotonicity rules in calculus. Zbl 1167.26306Anderson, Glen; Vamanamurthy, Mavina; Vourinen, Matti 41 2006 Some properties of the gamma and psi functions, with applications. Zbl 1060.33006Qiu, S.-L.; Vuorinen, M. 39 2005 Whitney cubes, p-capacity, and Minkowski content. Zbl 0632.30023Martio, O.; Vuorinen, M. 37 1987 On the degenerate Beltrami equation. Zbl 1066.30021Gutlyanskii, V.; Martio, O.; Sugawa, T.; Vuorinen, M. 37 2005 Hypergeometric functions in geometric function theory. Zbl 0948.30024Vuorinen, Matti 35 1998 On harmonic quasiconformal quasi-isometries. Zbl 1211.30040Mateljević, M.; Vuorinen, M. 33 2010 Uniformly perfect sets and quasiregular mappings. Zbl 0872.30014Järvi, P.; Vuorinen, M. 32 1996 Special functions in geometric function theory. Zbl 1073.30007Qiu, S.-L.; Vuorinen, M. 32 2005 Special functions of quasiconformal theory. Zbl 0686.30015Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 31 1989 On moduli of rings and quadrilaterals: algorithms and experiments. Zbl 1368.65036Hakula, Harri; Rasila, Antti; Vuorinen, Matti 29 2011 On Jordan type inequalities for hyperbolic functions. Zbl 1211.26015Klén, R.; Visuri, M.; Vuorinen, M. 29 2010 On generalized trigonometric functions with two parameters. Zbl 1257.33052Bhayo, Barkat Ali; Vuorinen, Matti 29 2012 Radius of close-to-convexity and fully starlikeness of harmonic mappings. Zbl 1295.31005Kalaj, David; Ponnusamy, Saminathan; Vuorinen, Matti 29 2014 Infinite products and normalized quotients of hypergeometric functions. Zbl 0931.30011Qiu, S.-L.; Vuorinen, M. 27 1999 Conformally invariant metrics and quasiconformal mappings. Zbl 1450.30003Hariri, Parisa; Klén, Riku; Vuorinen, Matti 26 2020 Generalized elliptic integrals and the Legendre \(\mathcal M\)-function. Zbl 1135.33008Heikkala, V.; Lindén, H.; Vamanamurthy, M. K.; Vuorinen, M. 25 2008 Inequalities for the generalized trigonometric and hyperbolic functions. Zbl 1306.33013Klén, Riku; Vuorinen, Matti; Zhang, Xiaohui 25 2014 Exceptional sets and boundary behavior of quasiregular mappings in n- space. Zbl 0362.30024Vuorinen, Matti 24 1976 On hypergeometric functions and function spaces. Zbl 1172.33302Balasubramanian, R.; Ponnusamy, S.; Vuorinen, M. 24 2002 Duplication inequalities for the ratios of hypergeometric functions. Zbl 0938.33001Qiu, Song-Liang; Vuorinen, Matti 24 2000 Functional inequalities for the quotients of hypergeometric functions. Zbl 0890.33004Balasubramanian, R.; Ponnusamy, S.; Vuorinen, M. 23 1998 On generalized complete elliptic integrals and modular functions. Zbl 1267.33015Bhayo, B. A.; Vuorinen, M. 23 2012 Landen inequalities for hypergeometric functions. Zbl 0944.33004Qiu, S.-L.; Vuorinen, M. 22 1999 Landen inequalities for zero-balanced hypergeometric functions. Zbl 1241.26021Simić, Slavko; Vuorinen, Matti 22 2012 Dimension-free quasiconformal distortion in n-space. Zbl 0632.30022Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 22 1986 Distortion functions for plane quasiconformal mappings. Zbl 0652.30013Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 22 1988 On the existence of angular limits of \(n\)-dimensional quasiconformal mappings. Zbl 0461.30014Vuorinen, Matti 21 1980 Some inequalities for the Poincaré metric of plane domains. Zbl 1081.30040Sugawa, Toshiyuki; Vuorinen, Matti 21 2005 Some inequalities for the Hersch-Pfluger distortion function. Zbl 0946.30010Qiu, S.-L.; Vamanamurthy, M. K.; Vuorinen, M. 20 1999 Hypergeometric functions and elliptic integrals. Zbl 0984.33502Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 20 1992 Univalence and convexity properties for confluent hypergeometric functions. Zbl 0902.30011Ponnusamy, S.; Vuorinen, M. 19 1998 Singular values, Ramanujan modular equations, and Landen transformations. Zbl 0872.30010Vuorinen, M. 19 1996 Some inequalities for the growth of elliptic integrals. Zbl 0908.33012Qiu, S.-L.; Vamanamurthy, M. K.; Vuorinen, M. 18 1998 Some properties of a class of elliptic partial differential operators. Zbl 1327.30042Chen, Shaolin; Vuorinen, Matti 18 2015 Capacity densities and angular limits of quasiregular mappings. Zbl 0461.30015Vuorinen, Matti 17 1981 Lipschitz conditions, triangular ratio metric, and quasiconformal maps. Zbl 1374.30069Chen, Jiaolong; Hariri, Parisa; Klén, Riku; Vuorinen, Matti 17 2015 BMO and injectivity of space quasiregular mappings. Zbl 0935.30016Martio, Olli; Ryazanov, Vladimir; Vuorinen, Matti 16 1999 Hardy’s inequality for \(W_0^{1,p}\)-functions on Riemannian manifolds. Zbl 0946.58009Miklyukov, Vladimir M.; Vuorinen, Matti K. 16 1999 Mori’s theorem for \(n\)-dimensional quasiconformal mappings. Zbl 0615.30018Fehlmann, R.; Vuorinen, M. 16 1988 Estimates for the hyperbolic metric of the punctured plane and applications. Zbl 1021.30047Solynin, A. Yu.; Vuorinen, M. 16 2001 Inequalities for eigenfunctions of the \(p\)-Laplacian. Zbl 1294.33001Bhayo, B. A.; Vuorinen, M. 16 2013 Topics in special functions. Zbl 1026.33001Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 15 2001 Thick sets and quasisymmetric maps. Zbl 0803.30016Väisälä, Jussi; Vuorinen, Matti; Wallin, Hans 15 1994 Inequalities and bi-Lipschitz conditions for the triangular ratio metric. Zbl 1376.30019Hariri, Parisa; Vuorinen, Matti; Zhang, Xiaohui 14 2017 Starlikeness of the Gaussian hypergeometric functions. Zbl 1187.30017Hästö, Peter; Ponnusamy, S.; Vuorinen, M. 13 2010 Topics in special functions. II. Zbl 1133.30315Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 13 2007 Linear approximation property, Minkowski dimension, and quasiconformal spheres. Zbl 0671.30018Mattila, P.; Vuorinen, M. 13 1990 Turań type inequalities for generalized inverse trigonometric functions. Zbl 1474.33001Baricz, Árpád; Bhayo, Barkat Ali; Vuorinen, Matti 13 2015 Infinitesimal geometry of quasilinear mappings. Zbl 0938.30014Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M. 12 2000 Precise estimates for differences of the Gaussian hypergeometric function. Zbl 0885.33002Anderson, G. D.; Qiu, S.-L.; Vuorinen, M. 12 1997 The computation of capacity of planar condensers. Zbl 1079.78024Betsakos, Dimitrios; Samuelsson, Klas; Vuorinen, Matti 12 2004 Functional inequalities for modified Bessel functions. Zbl 1237.39023Baricz, Árpád; Ponnusamy, Saminathan; Vuorinen, Matti 12 2011 Topics in special functions. III. Zbl 1323.33001Anderson, Glen D.; Vuorinen, Matti; Zhang, Xiaohui 12 2014 The visual angle metric and Möbius transformations. Zbl 1307.30082Klén, Riku; Lindén, Henri; Vuorinen, Matti; Wang, Gendi 12 2014 Quadruples and spatial quasiconformal mappings. Zbl 0692.30018Vuorinen, Matti 12 1990 On convergence theorems for space quasiregular mappings. Zbl 0907.30024Gutlyanskij, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M. 11 1998 Computation of exterior moduli of quadrilaterals. Zbl 1305.65110Hakula, Harri; Rasila, Antti; Vuorinen, Matti 11 2013 Robin functions and distortion theorems for regular mappings. Zbl 1210.30008Dubinin, V. N.; Vuorinen, M. 10 2010 On exterior moduli of quadrilaterals and special functions. Zbl 1276.33028Vuorinen, Matti; Zhang, Xiaohui 10 2013 On local injectivity and asymptotic linearity of quasiregular mappings. Zbl 0893.30012Gutlyanskiĭ, V. Ya.; Martio, O.; Ryazanov, V. I.; Vuorinen, M. 9 1998 On conformal moduli of polygonal quadrilaterals. Zbl 1182.30011Dubinin, V. N.; Vuorinen, M. 9 2009 Bounds for quasiconformal distortion functions. Zbl 0871.30019Qiu, S. L.; Vamanamurthy, M. K.; Vuorinen, M. 9 1997 On capacity computation for symmetric polygonal condensers. Zbl 1416.65076Bezrodnykh, Sergei; Bogatyrëv, Andrei; Goreinov, Sergei; Grigor’ev, Oleg; Hakula, Harri; Vuorinen, Matti 9 2019 Some remarks on the Cassinian metric. Zbl 1399.51009Hariri, Parosa; Klén, Riku; Vourinen, Matti; Zhang, Xiaohui 9 2017 Sharp distortion theorems for quasiconformal mappings. Zbl 0639.30019Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 9 1988 Comparison theorems for hyperbolic type metrics. Zbl 1354.54026Dovgoshey, Oleksiy; Hariri, Parisa; Vuorinen, Matti 9 2016 The visual angle metric and quasiregular maps. Zbl 1355.30020Wang, Gendi; Vuorinen, Matti 9 2016 On hypergeometric functions and generalizations of Legendre’s relation. Zbl 0983.33002Karatsuba, E. A.; Vuorinen, M. 9 2001 Bernoulli inequality and hypergeometric functions. Zbl 1288.26011Klén, Riku; Manojlović, Vesna; Simić, Slavko; Vuorinen, Matti 9 2014 Lipschitz conditions in conformally invariant metrics. Zbl 0758.30018Ferrand, J.; Martin, G. J.; Vuorinen, M. 8 1991 Extremal problems and symmetrization for plane ring domains. Zbl 0860.30027Solynin, A. Yu.; Vuorinen, M. 8 1996 Metrics and quasiregular mappings. Zbl 1166.30013Vuorinen, Matti 8 2007 Characterizations of John spaces. Zbl 1441.30035Li, Yaxiang; Vuorinen, Matti; Zhou, Qingshan 8 2019 Conformally invariant extremal problems and quasiconformal maps. Zbl 0766.30014Vuorinen, Matti 7 1992 On the order of quasiregular mappings. Zbl 0516.30018Rickman, S.; Vuorinen, M. 7 1982 On functions with a finite or locally bounded Dirichlet integral. Zbl 0557.30020Vuorinen, Matti 7 1984 Elliott’s identity and hypergeometric functions. Zbl 1011.33010Balasubramanian, R.; Naik, S.; Ponnusamy, S.; Vuorinen, M. 7 2002 On the Harnack constant and the boundary behavior of Harnack functions. Zbl 0488.31003Vuorinen, Matti 7 1982 Modular equations and distortion functions. Zbl 1205.30015Anderson, G. D.; Qiu, S.-L.; Vuorinen, M. 7 2009 Quasimultiplicative properties for the \(\eta\)-distortion function. Zbl 0854.30017Qiu, S.-L.; Vuorinen, M. 7 1996 Some remarks on an existence problem for degenerate elliptic systems. Zbl 1069.30034Martio, Olli; Miklyukov, Vladimir; Vuorinen, Matti 7 2005 On the stability of \(\varphi\)-uniform domains. Zbl 1297.30069Klén, R.; Li, Y.; Sahoo, S. K.; Vuorinen, M. 7 2014 Moduli of quadrilaterals and quasiconformal reflection. Zbl 1516.30010Nasyrov, Semen; Sugawa, Toshiyuki; Vuorinen, Matti 5 2023 Triangular ratio metric under quasiconformal mappings in sector domains. Zbl 1516.30032Rainio, Oona; Vuorinen, Matti 1 2023 Introducing a new intrinsic metric. Zbl 1515.51012Rainio, Oona; Vuorinen, Matti 5 2022 Condenser capacity and hyperbolic perimeter. Zbl 07447596Nasser, Mohamed M. S.; Rainio, Oona; Vuorinen, Matti 4 2022 Triangular ratio metric in the unit disk. Zbl 1494.30046Rainio, Oona; Vuorinen, Matti 2 2022 Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals. Zbl 1501.65012Nasser, Mohamed; Rainio, Oona; Rasila, Antti; Vuorinen, Matti; Wallace, Terry; Yu, Hang; Zhang, Xiaohui 1 2022 Metrics and quasimetrics induced by point pair function. Zbl 1503.30057Dautova, Dina; Nasyrov, Semen; Rainio, Oona; Vuorinen, Matti 1 2022 Level sets of potential functions bisecting unbounded quadrilaterals. Zbl 1502.30031Nasser, Mohamed M. S.; Nasyrov, Semen; Vuorinen, Matti 1 2022 Computation of conformal invariants. Zbl 1474.65060Nasser, Mohamed M. S.; Vuorinen, Matti 6 2021 Barrlund’s distance function and quasiconformal maps. Zbl 1476.30094Fujimura, Masayo; Mocanu, Marcelina; Vuorinen, Matti 5 2021 Conformal moduli of symmetric circular quadrilaterals with cusps. Zbl 1470.65039Hakula, Harri; Nasyrov, Semen; Vuorinen, Matti 2 2021 Conformal modulus of the exterior of two rectilinear slits. Zbl 1462.30015Dautova, D.; Nasyrov, S.; Vuorinen, M. 2 2021 A new intrinsic metric and quasiregular maps. Zbl 1469.30120Fujimura, Masayo; Mocanu, Marcelina; Vuorinen, Matti 2 2021 On cyclic quadrilaterals in Euclidean and hyperbolic geometries. Zbl 1499.51017Wang, Gendi; Vuorinen, Matti; Zhang, Xiaohui 1 2021 Intrinsic geometry and boundary structure of plane domains. Zbl 1476.30107Rainio, O.; Sugawa, T.; Vuorinen, M. 1 2021 Remarks on the scale-invariant Cassinian metric. Zbl 1462.30085Wang, Gendi; Xu, Xiaoxue; Vuorinen, Matti 1 2021 Conformally invariant metrics and quasiconformal mappings. Zbl 1450.30003Hariri, Parisa; Klén, Riku; Vuorinen, Matti 26 2020 Numerical computation of the capacity of generalized condensers. Zbl 07195330Nasser, Mohamed M. S.; Vuorinen, Matti 6 2020 Conformal invariants in simply connected domains. Zbl 1459.65035Nasser, Mohamed M. S.; Vuorinen, Matti 6 2020 Apollonian metric, uniformity and Gromov hyperbolicity. Zbl 1445.30011Li, Yaxiang; Vuorinen, Matti; Zhou, Qingshan 5 2020 Global bifurcation and stability of steady states for a bacterial colony model with density-suppressed motility. Zbl 1481.92089Ma, Manjun; Xia, Peng; Zhang, Qifeng; Vuorinen, Matti 2 2020 Teichmüller’s theorem in higher dimensions and its applications. Zbl 1467.30014Golberg, Anatoly; Sugawa, Toshiyuki; Vuorinen, Matti 2 2020 Numerical computation of Mityuk’s function and radius for circular/radial slit domains. Zbl 1443.30004Kalmoun, El Mostafa; Nasser, Mohamed M. S.; Vuorinen, Matti 1 2020 On the hyperbolic distance of \(n\)-times punctured spheres. Zbl 1465.53055Sugawa, Toshiyuki; Vuorinen, Matti; Zhang, Tanran 1 2020 On capacity computation for symmetric polygonal condensers. Zbl 1416.65076Bezrodnykh, Sergei; Bogatyrëv, Andrei; Goreinov, Sergei; Grigor’ev, Oleg; Hakula, Harri; Vuorinen, Matti 9 2019 Characterizations of John spaces. Zbl 1441.30035Li, Yaxiang; Vuorinen, Matti; Zhou, Qingshan 8 2019 The Ptolemy-Alhazen problem and spherical mirror reflection. Zbl 1419.30005Fujimura, Masayo; Hariri, Parisa; Mocanu, Marcelina; Vuorinen, Matti 5 2019 Characterizations of Hardy-type, Bergman-type and Dirichlet-type spaces on certain classes of complex-valued functions. Zbl 1429.32009Chen, Shaolin; Rasila, Antti; Vuorinen, Matti 3 2019 Conformal modulus and planar domains with strong singularities and cusps. Zbl 1415.65064Hakula, Harri; Rasila, Antti; Vuorinen, Matti 7 2018 Weakly quasisymmetric maps and uniform spaces. Zbl 1404.30033Li, Yaxiang; Vuorinen, Matti; Zhou, Qingshan 6 2018 Local convexity of metric balls. Zbl 1395.51019Hariri, Parisa; Klén, Riku; Vuorinen, Matti 1 2018 Inequalities and bi-Lipschitz conditions for the triangular ratio metric. Zbl 1376.30019Hariri, Parisa; Vuorinen, Matti; Zhang, Xiaohui 14 2017 Some remarks on the Cassinian metric. Zbl 1399.51009Hariri, Parosa; Klén, Riku; Vourinen, Matti; Zhang, Xiaohui 9 2017 On removability properties of \(\psi \)-uniform domains in Banach spaces. Zbl 1361.30038Huang, M.; Vuorinen, M.; Wang, X. 2 2017 Volume growth of quasihyperbolic balls. Zbl 1385.51014Zhang, Xiaohui; Klén, Riku; Suomala, Ville; Vuorinen, Matti 1 2017 Comparison theorems for hyperbolic type metrics. Zbl 1354.54026Dovgoshey, Oleksiy; Hariri, Parisa; Vuorinen, Matti 9 2016 The visual angle metric and quasiregular maps. Zbl 1355.30020Wang, Gendi; Vuorinen, Matti 9 2016 Geometric properties of \(\varphi \)-uniform domains. Zbl 1366.30019Hästö, Peter; Klén, Riku; Sahoo, Swadesh Kumar; Vuorinen, Matti 4 2016 Balls in the triangular ratio metric. Zbl 1362.30031Hokuni, S.; Klén, R.; Li, Y.; Vuorinen, M. 4 2016 Some remarks on the visual angle metric. Zbl 1355.30019Hariri, Parisa; Vuorinen, Matti; Wang, Gendi 3 2016 On quasi-inversions. Zbl 1351.30006Kalaj, David; Vuorinen, Matti; Wang, Gendi 3 2016 On isometries of conformally invariant metrics. Zbl 1345.30025Klén, Riku; Vuorinen, Matti; Zhang, Xiaohui 2 2016 Some properties of a class of elliptic partial differential operators. Zbl 1327.30042Chen, Shaolin; Vuorinen, Matti 18 2015 Lipschitz conditions, triangular ratio metric, and quasiconformal maps. Zbl 1374.30069Chen, Jiaolong; Hariri, Parisa; Klén, Riku; Vuorinen, Matti 17 2015 Turań type inequalities for generalized inverse trigonometric functions. Zbl 1474.33001Baricz, Árpád; Bhayo, Barkat Ali; Vuorinen, Matti 13 2015 Sharp Lipschitz constants for the distance ratio metric. Zbl 1311.30004Simić, Slavko; Vuorinen, Matti; Wang, Gendi 2 2015 Lipschitz conditions and the distance ratio metric. Zbl 1461.51020Simić, Slavko; Vuorinen, Matti 1 2015 Radius of close-to-convexity and fully starlikeness of harmonic mappings. Zbl 1295.31005Kalaj, David; Ponnusamy, Saminathan; Vuorinen, Matti 29 2014 Inequalities for the generalized trigonometric and hyperbolic functions. Zbl 1306.33013Klén, Riku; Vuorinen, Matti; Zhang, Xiaohui 25 2014 Topics in special functions. III. Zbl 1323.33001Anderson, Glen D.; Vuorinen, Matti; Zhang, Xiaohui 12 2014 The visual angle metric and Möbius transformations. Zbl 1307.30082Klén, Riku; Lindén, Henri; Vuorinen, Matti; Wang, Gendi 12 2014 Bernoulli inequality and hypergeometric functions. Zbl 1288.26011Klén, Riku; Manojlović, Vesna; Simić, Slavko; Vuorinen, Matti 9 2014 On the stability of \(\varphi\)-uniform domains. Zbl 1297.30069Klén, R.; Li, Y.; Sahoo, S. K.; Vuorinen, M. 7 2014 Ahlfors-Beurling conformal invariant and relative capacity of compact sets. Zbl 1302.30027Dubinin, Vladimir N.; Vuorinen, Matti 6 2014 Distortion of quasiconformal mappings with identity boundary values. Zbl 1307.30056Vuorinen, Matti; Zhang, Xiaohui 6 2014 Quasihyperbolic metric and Möbius transformations. Zbl 1408.30027Klén, Riku; Vuorinen, Matti; Zhang, Xiaohui 5 2014 Freely quasiconformal maps and distance ratio metric. Zbl 1310.30023Li, Yaxiang; Ponnusamy, Saminathan; Vuorinen, Matti 3 2014 The minimal surfaces over the slanted half-planes, vertical strips and single slit. Zbl 1316.31006Li, Liulan; Ponnusamy, Saminathan; Vuorinen, Matti 1 2014 Quasiconformal maps with bilipschitz or identity boundary values in Banach spaces. Zbl 1410.30017Li, Yaxiang; Vuorinen, Matti; Wang, Xiantao 1 2014 Dimensions, Whitney covers, and tubular neighborhoods. Zbl 1298.28011Kaenmaki, Antti; Lehrback, Juha; Vuorinen, Matti 45 2013 Inequalities for eigenfunctions of the \(p\)-Laplacian. Zbl 1294.33001Bhayo, B. A.; Vuorinen, M. 16 2013 Computation of exterior moduli of quadrilaterals. Zbl 1305.65110Hakula, Harri; Rasila, Antti; Vuorinen, Matti 11 2013 On exterior moduli of quadrilaterals and special functions. Zbl 1276.33028Vuorinen, Matti; Zhang, Xiaohui 10 2013 On quasimöbius maps in real Banach spaces. Zbl 1285.30007Huang, M.; Li, Y.; Vuorinen, M.; Wang, X. 7 2013 Metrization of weighted graphs. Zbl 1272.05031Dovgoshey, Oleksiy; Martio, Olli; Vuorinen, Matti 6 2013 Lipschitz spaces and bounded mean oscillation of harmonic mappings. Zbl 1272.31001Chen, Shaolin; Ponnusamy, Saminathan; Vuorinen, Matti; Wang, Xiantao 6 2013 Inclusion relations of hyperbolic type metric balls. II. Zbl 1289.30221Klén, Riku; Vuorinen, Matti 3 2013 Hyperbolic Lambert quadrilaterals and quasiconformal mappings. Zbl 1307.51012Vuorinen, Matti; Wang, Gendi 3 2013 Bisection of geodesic segments in hyperbolic geometry. Zbl 1320.51018Vuorinen, Matti; Wang, Gendi 2 2013 On the subinvariance of uniform domains in Banach spaces. Zbl 1306.46013Huang, M.; Vuorinen, M.; Wang, X. 1 2013 Subdomain geometry of hyperbolic type metrics. Zbl 1289.30220Klén, R.; Li, Y.; Vuorinen, M. 1 2013 On harmonic functions and the Schwarz lemma. Zbl 1247.31002Kalaj, David; Vuorinen, Matti 53 2012 On generalized trigonometric functions with two parameters. Zbl 1257.33052Bhayo, Barkat Ali; Vuorinen, Matti 29 2012 On generalized complete elliptic integrals and modular functions. Zbl 1267.33015Bhayo, B. A.; Vuorinen, M. 23 2012 Landen inequalities for zero-balanced hypergeometric functions. Zbl 1241.26021Simić, Slavko; Vuorinen, Matti 22 2012 Inclusion relations of hyperbolic type metric balls. Zbl 1299.30118Klén, Riku; Vuorinen, Matti 1 2012 On moduli of rings and quadrilaterals: algorithms and experiments. Zbl 1368.65036Hakula, Harri; Rasila, Antti; Vuorinen, Matti 29 2011 Functional inequalities for modified Bessel functions. Zbl 1237.39023Baricz, Árpád; Ponnusamy, Saminathan; Vuorinen, Matti 12 2011 On quasiconformal maps with identity boundary values. Zbl 1226.30024Manojlović, V.; Vuorinen, M. 4 2011 On Mori’s theorem for quasiconformal maps in the \(n\)-space. Zbl 1278.30025Bhayo, B. A.; Vuorinen, M. 4 2011 On Kaluza’s sign criterion for reciprocal power series. Zbl 1260.30002Baricz, Árpád; Vesti, Jetro; Vuorinen, Matti 3 2011 On quotients and differences of hypergeometric functions. Zbl 1275.33008Simić, Slavko; Vuorinen, Matti 3 2011 Hölder continuity of harmonic quasiconformal mappings. Zbl 1272.30037Arsenović, Miloš; Manojlović, Vesna; Vuorinen, Matti 2 2011 Norm inequalities for vector functions. Zbl 1221.26027Bhayo, B. A.; Božin, V.; Kalaj, D.; Vuorinen, M. 1 2011 Apollonian circles and hyperbolic geometry. Zbl 1285.51017Klén, Riku; Vuorinen, Matti 1 2011 On harmonic quasiconformal quasi-isometries. Zbl 1211.30040Mateljević, M.; Vuorinen, M. 33 2010 On Jordan type inequalities for hyperbolic functions. Zbl 1211.26015Klén, R.; Visuri, M.; Vuorinen, M. 29 2010 Starlikeness of the Gaussian hypergeometric functions. Zbl 1187.30017Hästö, Peter; Ponnusamy, S.; Vuorinen, M. 13 2010 Robin functions and distortion theorems for regular mappings. Zbl 1210.30008Dubinin, V. N.; Vuorinen, M. 10 2010 Geometry of metrics. Zbl 1236.30022Vuorinen, Matti 4 2010 Twice-punctured hyperbolic sphere with a conical singularity and generalized elliptic integral. Zbl 1204.30031Anderson, G. D.; Sugawa, T.; Vamanamurthy, M. K.; Vuorinen, M. 4 2010 Wiman and Arima theorems for quasiregular mappings. Zbl 1226.30025Martio, O.; Miklyukov, V. M.; Vuorinen, M. 2 2010 Reflections on Ramanujan’s mathematical gems. Zbl 1216.33001Anderson, G. D.; Vuorinen, M. 1 2010 Ahlfors theorems for differential forms. Zbl 1211.30039Martio, O.; Miklyukov, V. M.; Vuorinen, M. 1 2010 Generalized elliptic integrals. Zbl 1198.33002Heikkala, Ville; Vamanamurthy, Mavina K.; Vuorinen, Matti 55 2009 On conformal moduli of polygonal quadrilaterals. Zbl 1182.30011Dubinin, V. N.; Vuorinen, M. 9 2009 Modular equations and distortion functions. Zbl 1205.30015Anderson, G. D.; Qiu, S.-L.; Vuorinen, M. 7 2009 Region of variability for certain classes of univalent functions satisfying differential inequalities. Zbl 1183.30011Ponnusamy, S.; Vasudevarao, A.; Vuorinen, M. 6 2009 Region of variability for spiral-like functions with respect to a boundary point. Zbl 1175.30018Ponnusamy, S.; Vasudevarao, A.; Vuorinen, M. 4 2009 Generalized elliptic integrals and the Legendre \(\mathcal M\)-function. Zbl 1135.33008Heikkala, V.; Lindén, H.; Vamanamurthy, M. K.; Vuorinen, M. 25 2008 ...and 114 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,291 Authors 135 Chu, Yuming 114 Vuorinen, Matti Keijo Kustaa 70 Ponnusamy, Saminathan 63 Sevost’yanov, Yevgen Oleksandrovych 54 Wang, Miaokun 44 Yang, Zhenhang 40 Qiu, Songliang 36 Ryazanov, Vladimir Il’ich 35 Zhang, Xiaohui 35 Zhu, Ling 33 Baricz, Árpád 33 Kalaj, David 31 Salimov, Ruslan Radikovich 31 Zhao, Tiehong 28 Qian, Weimao 28 Rasila, Antti 26 Qi, Feng 24 Wang, Xiantao 22 Chen, Chaoping 22 Chen, Shaolin 22 Wang, Gendi 21 Noor, Muhammad Aslam 18 Golberg, Anatoly 18 Li, Yaxiang 18 Mateljević, Miodrag S. 18 Noor, Khalida Inayat 18 Sugawa, Toshiyuki 17 Bagul, Yogesh Jibhau 17 Gutlyanskiĭ, Vladimir Ya. 17 Klén, Riku 17 Zhang, Wen 17 Zhou, Qingshan 16 Bhayo, Barkat Ali 16 Martio, Olli 15 Anderson, Glen Douglas 15 Ma, Xiaoyan 15 Yakubov, Eduard H. 14 Dubinin, Vladimir N. 14 Fletcher, Alastair N. 14 Karp, Dmitriĭ Borisovich 14 Mehrez, Khaled 14 Sahoo, Swadesh Kumar 14 Yin, Li 13 Alzer, Horst 13 Jiang, Yueping 13 Neuman, Edward 13 Song, Yingqing 13 Vamanamurthy, Mavina Krishna 12 Dragomir, Sever Silvestru 12 Koskela, Pekka 12 Nasyrov, Semen R. 12 Tian, Jingfeng 11 Betsakos, Dimitrios 11 Hästö, Peter A. 11 He, Zaiyin 11 Huang, TiRen 11 Malešević, Branko J. 11 Miklyukov, Vladimir Mikhaiĭlovich 11 Mortici, Cristinel 11 Nasser, Mohamed M. S. 11 Prilepkina, Elena Gumarovna 11 Rainio, Oona 11 Safdar, Farhat 11 Solynin, Alexander Yu. 10 Huang, Manzi 10 Richards, Kendall C. 10 Shimomura, Tetsu 9 Avkhadiev, Farit Gabidinovich 9 Fraser, Jonathan MacDonald 9 Li, Peijin 9 Wu, Shanhe 8 Barnard, Roger W. 8 Chesneau, Christophe 8 Dhaigude, Ramkrishna M. 8 Fernández-Sánchez, Juan 8 Hare, Kathryn E. 8 Ibragimov, Zair 8 Iftikhar, Sabah 8 Long, Boyong 8 Marković, Marijan 8 Srebro, Uri 8 Zhu, Jianfeng 7 Afanas’eva, Elena Sergeevna 7 Aseev, Vladislav Vasil’evich 7 Balasubramanian, Ramachandran 7 Chu, Hong-Hu 7 Debnath, Lokenath 7 Guo, Bai-Ni 7 Hakula, Harri 7 Lehrbäck, Juha 7 Lin, Xiuli 7 Mizuta, Yoshihiro 7 Skvortsov, Sergei Aleksandrovich 7 Srivastava, Hari Mohan 7 Trotsenko, Dmitrĭ Aleksandrovich 6 Berg, Christian 6 Chen, Jiaolong 6 Chen, Xingdi 6 Futamura, Toshihide 6 Heinonen, Juha ...and 1,191 more Authors all top 5 Cited in 307 Serials 125 Journal of Mathematical Analysis and Applications 94 Journal of Inequalities and Applications 54 Computational Methods and Function Theory 49 Complex Variables and Elliptic Equations 48 Journal of Mathematical Sciences (New York) 45 Proceedings of the American Mathematical Society 36 Journal d’Analyse Mathématique 33 Journal of Mathematical Inequalities 29 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. 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Series II 5 Fractals 5 Sbornik: Mathematics 5 Acta Mathematica Sinica. English Series 5 Sibirskie Èlektronnye Matematicheskie Izvestiya 5 Applicable Analysis and Discrete Mathematics 5 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 5 International Journal of Analysis and Applications 5 Complex Analysis and its Synergies 4 Studia Mathematica 4 Acta Mathematica 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Journal of Differential Equations 4 Mathematische Nachrichten 4 Mathematica Slovaca 4 Michigan Mathematical Journal 4 Tôhoku Mathematical Journal. Second Series 4 Stochastic Processes and their Applications 4 Bulletin des Sciences Mathématiques 4 Journal of Applied Mathematics 4 Boundary Value Problems 4 Journal of Nonlinear Science and Applications 4 Journal of Classical Analysis 3 Indian Journal of Pure & Applied Mathematics 3 Bulletin of the London Mathematical Society 3 Demonstratio Mathematica 3 Geometriae Dedicata 3 Journal of the London Mathematical Society. Second Series 3 Journal of Number Theory ...and 207 more Serials all top 5 Cited in 56 Fields 763 Functions of a complex variable (30-XX) 507 Real functions (26-XX) 456 Special functions (33-XX) 233 Potential theory (31-XX) 107 Partial differential equations (35-XX) 73 Functional analysis (46-XX) 61 Measure and integration (28-XX) 53 Geometry (51-XX) 48 Dynamical systems and ergodic theory (37-XX) 39 Number theory (11-XX) 39 Numerical analysis (65-XX) 37 Several complex variables and analytic spaces (32-XX) 36 Approximations and expansions (41-XX) 36 Differential geometry (53-XX) 33 Harmonic analysis on Euclidean spaces (42-XX) 33 Probability theory and stochastic processes (60-XX) 28 General topology (54-XX) 21 Operator theory (47-XX) 21 Global analysis, analysis on manifolds (58-XX) 20 Difference and functional equations (39-XX) 19 Ordinary differential equations (34-XX) 17 Statistics (62-XX) 14 Sequences, series, summability (40-XX) 10 Convex and discrete geometry (52-XX) 9 Combinatorics (05-XX) 9 Integral transforms, operational calculus (44-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Manifolds and cell complexes (57-XX) 7 Quantum theory (81-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Computer science (68-XX) 6 Biology and other natural sciences (92-XX) 5 Group theory and generalizations (20-XX) 5 Integral equations (45-XX) 5 Fluid mechanics (76-XX) 5 Operations research, mathematical programming (90-XX) 5 Information and communication theory, circuits (94-XX) 4 Mathematical logic and foundations (03-XX) 4 Algebraic geometry (14-XX) 4 Topological groups, Lie groups (22-XX) 3 General and overarching topics; collections (00-XX) 3 Abstract harmonic analysis (43-XX) 3 Relativity and gravitational theory (83-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic topology (55-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-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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