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Author ID: piranian.george Recent zbMATH articles by "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

Publications by Year

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 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

Citations by Year

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