Edit Profile (opens in new tab) Piranian, George Co-Author Distance Author ID: piranian.george Published as: Piranian, G.; Piranian, George External Links: MGP · Wikidata · GND Documents Indexed: 83 Publications since 1943 Biographic References: 1 Publication Co-Authors: 28 Co-Authors with 56 Joint Publications 761 Co-Co-Authors all top 5 Co-Authors 27 single-authored 11 Erdős, Pál 11 Herzog, Fritz 9 Lohwater, Arthur J. 7 Belna, Charles L. 4 Collingwood, Edward F. 3 Bagemihl, Frederick 3 Carroll, Francis William 3 Colwell, Peter 2 Berman, Robert D. 2 Bonar, Daniel D. 2 Campbell, Douglas Michael 2 Rudin, Walter 2 Young, Gail S. jun. 1 Carroll, Frank J. 1 Cohn, William S. 1 Cowling, V. F. 1 Lappan, Peter A. 1 Marx, Imanuel 1 McLaughlin, Renate 1 McMillan, John E. 1 Nishiura, Togo 1 Shields, Allen L. 1 Shilds, Allen L. 1 Stephenson, Kenneth 1 Thron, Wolfgang Joseph 1 Titus, Charles J. 1 Weitsman, Allen 1 Wells, James H. all top 5 Serials 17 Michigan Mathematical Journal 10 Proceedings of the American Mathematical Society 7 Duke Mathematical Journal 4 Pacific Journal of Mathematics 4 Bulletin of the American Mathematical Society 3 American Mathematical Monthly 3 Commentarii Mathematici Helvetici 3 Mathematica Scandinavica 3 Mathematische Zeitschrift 3 Annales Academiae Scientiarum Fennicae. Series A I 2 Archiv der Mathematik 2 Journal of the London Mathematical Society. Second Series 2 Transactions of the American Mathematical Society 1 Houston Journal of Mathematics 1 Periodica Mathematica Hungarica 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 1 Indiana University Mathematics Journal 1 The Journal of the Indian Mathematical Society. New Series 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bollettino della Unione Matematica Italiana. Series III 1 Buletinul Institutului Politehnic din Iași, New Series 1 Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse. Sitzungsberichte. Abteilung II all top 5 Fields 27 Functions of a complex variable (30-XX) 3 Sequences, series, summability (40-XX) 3 Approximations and expansions (41-XX) 2 Measure and integration (28-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 54 Publications have been cited 235 times in 212 Documents Cited by ▼ Year ▼ The boundary behavior of functions analytic in a disk. Zbl 0078.06501 Lohwater, A. J.; Piranian, G. 25 1957 The derivative of a schlicht function. Zbl 0065.06901 Lohwater, A. J.; Piranian, G.; Rudin, W. 16 1955 Convergence properties of sequences ol linear fractional transformations. Zbl 0080.28202 Piranian, G.; Thron, W. J. 16 1957 The boundary of a simply connected domain. Zbl 0081.17003 Piranian, George 12 1958 Tsuji functions with segments of Julia. Zbl 0133.03602 Collingwood, E. F.; Piranian, G. 10 1964 Two monotonic, singular, uniformly almost smooth functions. Zbl 0143.07405 Piranian, G. 10 1966 Conformal mappings and Peano curves. Zbl 0049.05403 Piranian, G.; Titus, C. J.; Young, G. S. 8 1952 An isolated schlicht function. Zbl 0096.05601 Piranian, George 7 1960 Boundary functions for functions defined in a disk. Zbl 0134.29302 Bagemihl, F.; Piranian, G. 7 1961 Bounded analytic functions and absolutely continuous measures. Zbl 0188.44904 Piranian, George; Shilds, Allen L.; Wells, James H. 7 1967 Sets of convergence of Taylor series. I. Zbl 0034.04806 Herzog, Fritz; Piranian, George 7 1949 The radial behavior of Blaschke products. Zbl 0582.30022 Belna, C. L.; Colwell, P.; Piranian, G. 7 1985 Strong Fatou-1-points of Blaschke products. Zbl 0549.30023 Belna, C. L.; Carroll, F. W.; Piranian, G. 6 1983 Sets of convergence of Taylor series. II. Zbl 0050.07802 Herzog, Fritz; Piranian, George 6 1953 Laconicity and redundancy of Toeplitz matrices. Zbl 0129.04201 Erdős, Pál; Piranian, G. 5 1964 On the univalence of functions whose derivative has a positive real part. Zbl 0043.08101 Herzog, F.; Piranian, G. 5 1951 The exceptional set of an inner function. Zbl 0353.30023 McLaughlin, Renate; Piranian, George 5 1976 Restricted cluster sets. Zbl 0113.05503 Erdős, Pál; Piranian, G. 4 1960 Intersections of cluster sets. Zbl 0144.33203 Bagemihl, F.; Piranian, G.; Young, G. S. 4 1959 Bounded functions with large circular variation. Zbl 0167.35902 Piranian, G. 4 1968 Compression and expansion of boundary sets. Zbl 0273.30015 McMillan, John E.; Piranian, George 4 1973 On Taylor series of functions regular in Gaier regions. Zbl 0055.06802 Erdős, Paul; Herzog, Fritz; Piranian, George 3 1954 Ambiguous points of a function continuous inside a sphere. Zbl 0080.08403 Piranian, George 3 1957 The topologization of a sequence space by Toeplitz matrices. Zbl 0084.05403 Erdős, Pál; Piranian, G. 3 1958 Sequences of linear fractional transformations. Zbl 0087.04502 Erdős, Paul; Piranian, George 3 1959 The set of nondifferentiability of a continuous function. Zbl 0143.07302 Piranian, G. 3 1966 The shape of level curves. Zbl 0154.06902 Piranian, G. 3 1966 Schlicht Taylor series whose convergence on the unit circle is uniform but not absolute. Zbl 0043.08002 Erdős, Pál; Herzog, F.; Piranian, G. 3 1951 Level sets of infinite length. Zbl 0374.30025 Piranian, George; Weitsman, Allen 3 1978 On the derivative of a univalent function. Zbl 0050.30202 Lohwater, A. J.; Piranian, George 3 1953 Sets of divergence of Taylor series and of trigonometric series. Zbl 0057.05802 Erdős, Paul; Herzog, Fritz; Piranian, George 2 1954 Sets of radial continuity of analytic functions. Zbl 0057.30703 Herzog, Fritz; Piranian, George 2 1954 Lusin’s theorem on areas of conformal maps. Zbl 0074.05602 Piranian, G.; Rudin, W. 2 1956 The distribution of prime ends. Zbl 0092.15405 Piranian, George 2 1960 An entire function of restricted growth. Zbl 0117.03905 Piranian, G. 2 1959 The derivative of a monotonic discontinuous function. Zbl 0128.27902 Piranian, G. 2 1965 The mapping theorems of Carathéodory and Lindelöf. Zbl 0133.32703 Collingwood, E. F.; Piranian, G. 2 1964 The counting function for points of maximum modulus. Zbl 0186.39303 Herzog, F.; Piranian, G. 2 1968 Bounded analytic functions with large cluster sets. Zbl 0235.30032 Lohwater, A. J.; Piranian, George 2 1971 Level-sets of special Blaschke products. Zbl 0487.30025 Belna, Charles; Cohn, William; Piranian, George; Stephenson, Kenneth 1 1982 Problems on the normality of holomorphic functions. Zbl 0496.30028 Campbell, Douglas; Piranian, George 1 1982 A Blaschke product with a level-set of infinite length. Zbl 0559.30036 Belna, C.; Piranian, G. 1 1983 A summation matrix with a governor. Zbl 0061.12105 Piranian, George 1 1946 On a conjecture of Lusin. Zbl 0070.07104 Lohwater, A. J.; Piranian, G. 1 1956 The sets of ambiguous points of functions of bounded characteristic. Zbl 0077.07701 Lohwater, A. J.; Piranian, G. 1 1957 The structure and distribution of prime ends. Zbl 0086.06503 Collingwood, E. F.; Piranian, G. 1 1959 Jordan domains and absolute convergence of power series. Zbl 0107.28102 Piranian, G. 1 1962 Essential Hausdorff cores of sequences. Zbl 0148.28903 Erdős, Pál; Piranian, G. 1 1966 Points of continuity of differentiable jump function. Zbl 0152.04601 Piranian, G. 1 1966 A note on transforms of unbounded sequences. Zbl 0031.29402 Erdős, Paul; Piranian, George 1 1947 Linear accesibility of boundary points of a Jordan region. Zbl 0043.08204 Lohwater, A. J.; Piranian, G. 1 1951 Uniformly accessible Jordan curves through large sets of relative harmonic measure zero. Zbl 0046.30701 Piranian, George 1 1952 On the summability of ordinary Dirichlet series by Taylor methods. Zbl 0049.05404 Cowling, V. F.; Piranian, G. 1 1952 Conformal mapping of a Jordan region whose boundary has positive two- dimensional measure. Zbl 0049.17703 Lohwater, A. J.; Piranian, G. 1 1952 The radial behavior of Blaschke products. Zbl 0582.30022 Belna, C. L.; Colwell, P.; Piranian, G. 7 1985 Strong Fatou-1-points of Blaschke products. Zbl 0549.30023 Belna, C. L.; Carroll, F. W.; Piranian, G. 6 1983 A Blaschke product with a level-set of infinite length. Zbl 0559.30036 Belna, C.; Piranian, G. 1 1983 Level-sets of special Blaschke products. Zbl 0487.30025 Belna, Charles; Cohn, William; Piranian, George; Stephenson, Kenneth 1 1982 Problems on the normality of holomorphic functions. Zbl 0496.30028 Campbell, Douglas; Piranian, George 1 1982 Level sets of infinite length. Zbl 0374.30025 Piranian, George; Weitsman, Allen 3 1978 The exceptional set of an inner function. Zbl 0353.30023 McLaughlin, Renate; Piranian, George 5 1976 Compression and expansion of boundary sets. Zbl 0273.30015 McMillan, John E.; Piranian, George 4 1973 Bounded analytic functions with large cluster sets. Zbl 0235.30032 Lohwater, A. J.; Piranian, George 2 1971 Bounded functions with large circular variation. Zbl 0167.35902 Piranian, G. 4 1968 The counting function for points of maximum modulus. Zbl 0186.39303 Herzog, F.; Piranian, G. 2 1968 Bounded analytic functions and absolutely continuous measures. Zbl 0188.44904 Piranian, George; Shilds, Allen L.; Wells, James H. 7 1967 Two monotonic, singular, uniformly almost smooth functions. Zbl 0143.07405 Piranian, G. 10 1966 The set of nondifferentiability of a continuous function. Zbl 0143.07302 Piranian, G. 3 1966 The shape of level curves. Zbl 0154.06902 Piranian, G. 3 1966 Essential Hausdorff cores of sequences. Zbl 0148.28903 Erdős, Pál; Piranian, G. 1 1966 Points of continuity of differentiable jump function. Zbl 0152.04601 Piranian, G. 1 1966 The derivative of a monotonic discontinuous function. Zbl 0128.27902 Piranian, G. 2 1965 Tsuji functions with segments of Julia. Zbl 0133.03602 Collingwood, E. F.; Piranian, G. 10 1964 Laconicity and redundancy of Toeplitz matrices. Zbl 0129.04201 Erdős, Pál; Piranian, G. 5 1964 The mapping theorems of Carathéodory and Lindelöf. Zbl 0133.32703 Collingwood, E. F.; Piranian, G. 2 1964 Jordan domains and absolute convergence of power series. Zbl 0107.28102 Piranian, G. 1 1962 Boundary functions for functions defined in a disk. Zbl 0134.29302 Bagemihl, F.; Piranian, G. 7 1961 An isolated schlicht function. Zbl 0096.05601 Piranian, George 7 1960 Restricted cluster sets. Zbl 0113.05503 Erdős, Pál; Piranian, G. 4 1960 The distribution of prime ends. Zbl 0092.15405 Piranian, George 2 1960 Intersections of cluster sets. Zbl 0144.33203 Bagemihl, F.; Piranian, G.; Young, G. S. 4 1959 Sequences of linear fractional transformations. Zbl 0087.04502 Erdős, Paul; Piranian, George 3 1959 An entire function of restricted growth. Zbl 0117.03905 Piranian, G. 2 1959 The structure and distribution of prime ends. Zbl 0086.06503 Collingwood, E. F.; Piranian, G. 1 1959 The boundary of a simply connected domain. Zbl 0081.17003 Piranian, George 12 1958 The topologization of a sequence space by Toeplitz matrices. Zbl 0084.05403 Erdős, Pál; Piranian, G. 3 1958 The boundary behavior of functions analytic in a disk. Zbl 0078.06501 Lohwater, A. J.; Piranian, G. 25 1957 Convergence properties of sequences ol linear fractional transformations. Zbl 0080.28202 Piranian, G.; Thron, W. J. 16 1957 Ambiguous points of a function continuous inside a sphere. Zbl 0080.08403 Piranian, George 3 1957 The sets of ambiguous points of functions of bounded characteristic. Zbl 0077.07701 Lohwater, A. J.; Piranian, G. 1 1957 Lusin’s theorem on areas of conformal maps. Zbl 0074.05602 Piranian, G.; Rudin, W. 2 1956 On a conjecture of Lusin. Zbl 0070.07104 Lohwater, A. J.; Piranian, G. 1 1956 The derivative of a schlicht function. Zbl 0065.06901 Lohwater, A. J.; Piranian, G.; Rudin, W. 16 1955 On Taylor series of functions regular in Gaier regions. Zbl 0055.06802 Erdős, Paul; Herzog, Fritz; Piranian, George 3 1954 Sets of divergence of Taylor series and of trigonometric series. Zbl 0057.05802 Erdős, Paul; Herzog, Fritz; Piranian, George 2 1954 Sets of radial continuity of analytic functions. Zbl 0057.30703 Herzog, Fritz; Piranian, George 2 1954 Sets of convergence of Taylor series. II. Zbl 0050.07802 Herzog, Fritz; Piranian, George 6 1953 On the derivative of a univalent function. Zbl 0050.30202 Lohwater, A. J.; Piranian, George 3 1953 Conformal mappings and Peano curves. Zbl 0049.05403 Piranian, G.; Titus, C. J.; Young, G. S. 8 1952 Uniformly accessible Jordan curves through large sets of relative harmonic measure zero. Zbl 0046.30701 Piranian, George 1 1952 On the summability of ordinary Dirichlet series by Taylor methods. Zbl 0049.05404 Cowling, V. F.; Piranian, G. 1 1952 Conformal mapping of a Jordan region whose boundary has positive two- dimensional measure. Zbl 0049.17703 Lohwater, A. J.; Piranian, G. 1 1952 On the univalence of functions whose derivative has a positive real part. Zbl 0043.08101 Herzog, F.; Piranian, G. 5 1951 Schlicht Taylor series whose convergence on the unit circle is uniform but not absolute. Zbl 0043.08002 Erdős, Pál; Herzog, F.; Piranian, G. 3 1951 Linear accesibility of boundary points of a Jordan region. Zbl 0043.08204 Lohwater, A. J.; Piranian, G. 1 1951 Sets of convergence of Taylor series. I. Zbl 0034.04806 Herzog, Fritz; Piranian, George 7 1949 A note on transforms of unbounded sequences. Zbl 0031.29402 Erdős, Paul; Piranian, George 1 1947 A summation matrix with a governor. Zbl 0061.12105 Piranian, George 1 1946 all cited Publications top 5 cited Publications all top 5 Cited by 210 Authors 7 Piranian, George 5 Colwell, Peter 4 Beardon, Alan Frank 4 Belna, Charles L. 4 MacGregor, Thomas H. 4 Shields, Allen L. 3 Bagemihl, Frederick 3 Berman, Robert D. 3 Collingwood, Edward F. 3 Danielyan, Arthur A. 3 Duren, Peter Larkin 3 Ganenkova, Ekaterina G. 3 Gorkin, Pamela B. 3 Hornich, Hans 3 Hwang, Jun Shung 3 Mayer, John C. 3 Short, Ian 3 Zeller, Karl Longin 2 Akeroyd, John R. 2 Baltus, Christopher 2 Barbey, Klaus 2 Barth, Karl F. 2 Campbell, Douglas Michael 2 Church, Philip T. 2 Cima, Joseph A. 2 Clunie, James Gourlay 2 Devaney, Robert L. 2 Di Biase, Fausto 2 Evans, Michael Jon 2 Gaier, Dieter 2 Gavrilov, Valerian Ivanovich 2 Geiges, Hansjörg 2 Gonzalo Pérez, Jesús 2 Kolesnikov, S. V. 2 König, Heinz 2 Lappan, Peter A. 2 Lauf, Wolfgang 2 Magnus, Arne 2 Mandell, Michael 2 Marchenko, Ivan Ivanovich 2 McMillan, John E. 2 McNicholl, Timothy H. 2 Mel’nik, V. I. 2 Mortini, Raymond 2 Peláez, José Ángel 2 Peretz, Ronen 2 Pfaltzgraff, John A. 2 Pommerenke, Christian 2 Rogers, James Ted jun. 2 Saksman, Eero 2 Schmieder, Gerald 2 Snyder, Larry E. 2 Stephenson, Kenneth 2 Twomey, John Brian 2 Volynec, I. A. 2 Yamashita, Shinji 1 Aarts, Johannes Michael 1 Aebischer, Beat 1 Aikawa, Hiroaki 1 Akman, Murat 1 Aksent’ev, Leonid Aleksandrovich 1 Aleman, Alexandru 1 Alhily, Shatha S. 1 Anderson, James Milne 1 Atalla, Robert E. 1 Avkhadiev, Farit Gabidinovich 1 Azzam, Jonas 1 Baernstein, Albert II 1 Baranov, Anton D. 1 Beatrous, Frank Hayne jun. 1 Bekey, George A. 1 Bernal-Gonzàlez, Luis 1 Bishop, Christopher James 1 Bonilla, Antonio 1 Brown, Johnny E. 1 Burbea, Jacob 1 Busovskaya, O. A. 1 Cahill, Rotraut Goubau 1 Cargo, Gerald T. 1 Charpentier, Stéphane 1 Childers, Douglas K. 1 Chuaqui, Martin 1 Colonna, Flavia 1 Costakis, George 1 Cowling, V. F. 1 Crane, Edward 1 Csordas, George 1 Daras, Nicholas J. 1 Davydov, N. A. 1 DeFranza, James 1 DePree, John Deryck 1 Ding, Jian 1 Doubtsov, Evgueni Sergeevich 1 Eifler, Larry Q. 1 Elizarov, A. M. 1 Erdős, Pál 1 Feng, Jinfu 1 Fernández Pérez, José Luis 1 Fleming, Daniel J. 1 Fournier, Richard ...and 110 more Authors all top 5 Cited in 68 Serials 26 Proceedings of the American Mathematical Society 18 Transactions of the American Mathematical Society 15 Mathematische Zeitschrift 10 Journal d’Analyse Mathématique 8 Journal of Mathematical Analysis and Applications 7 Archiv der Mathematik 7 Computational Methods and Function Theory 5 Mathematical Notes 5 Journal of Soviet Mathematics 5 Nagoya Mathematical Journal 4 Analysis Mathematica 4 Ukrainian Mathematical Journal 4 Monatshefte für Mathematik 4 The Journal of Geometric Analysis 3 Rocky Mountain Journal of Mathematics 3 The Mathematical Intelligencer 3 Acta Mathematica 3 Advances in Mathematics 3 Journal of Computational and Applied Mathematics 3 Journal of Functional Analysis 3 Manuscripta Mathematica 3 Mathematische Annalen 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Topology and its Applications 3 Acta Mathematica Hungarica 3 Bulletin of the American Mathematical Society 2 Bulletin of the Australian Mathematical Society 2 Israel Journal of Mathematics 2 Duke Mathematical Journal 2 Journal of Approximation Theory 2 Siberian Mathematical Journal 2 Tôhoku Mathematical Journal. Second Series 2 Russian Mathematics 1 American Mathematical Monthly 1 Communications in Mathematical Physics 1 Mathematical Biosciences 1 Periodica Mathematica Hungarica 1 Arkiv för Matematik 1 Acta Mathematica Vietnamica 1 Acta Scientiarum Mathematicarum 1 Annales de l’Institut Fourier 1 Annales Polonici Mathematici 1 Czechoslovak Mathematical Journal 1 Kodai Mathematical Journal 1 Mathematika 1 Michigan Mathematical Journal 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Ergodic Theory and Dynamical Systems 1 Constructive Approximation 1 Forum Mathematicum 1 St. Petersburg Mathematical Journal 1 Mathematical Logic Quarterly (MLQ) 1 Georgian Mathematical Journal 1 Doklady Mathematics 1 Conformal Geometry and Dynamics 1 Journal of Inequalities and Applications 1 Analysis (München) 1 Econometric Theory 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Mediterranean Journal of Mathematics 1 Proceedings of the Japan Academy 1 Complex Variables and Elliptic Equations 1 Complex Analysis and Operator Theory 1 Science China. Mathematics 1 Analysis and Mathematical Physics 1 Problemy Analiza. Issues of Analysis 1 Journal of Nonlinear and Variational Analysis 1 Annales Fennici Mathematici all top 5 Cited in 29 Fields 126 Functions of a complex variable (30-XX) 17 Sequences, series, summability (40-XX) 14 Potential theory (31-XX) 11 Functional analysis (46-XX) 10 Real functions (26-XX) 8 Several complex variables and analytic spaces (32-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 General topology (54-XX) 6 Measure and integration (28-XX) 4 Mathematical logic and foundations (03-XX) 3 History and biography (01-XX) 3 Operator theory (47-XX) 3 Geometry (51-XX) 3 Differential geometry (53-XX) 2 Number theory (11-XX) 2 Partial differential equations (35-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Probability theory and stochastic processes (60-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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