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Duren, Peter Larkin (b. 1935 d. 2020)

Author ID: duren.peter-l Recent zbMATH articles by "Duren, Peter Larkin"
Published as: Duren, Peter; Duren, P. L.; Duren, Peter L.; Duren, P.
Homepage: http://www.math.lsa.umich.edu/~duren/
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 127 Publications since 1961, including 5 Books and 1 Additional arXiv Preprint
11 Contributions as Editor · 1 Further Contribution
Reviewing Activity: 16 Reviews
Biographic References: 2 Publications
Co-Authors: 61 Co-Authors with 97 Joint Publications
944 Co-Co-Authors
all top 5

Serials

10 Proceedings of the American Mathematical Society
9 Journal d’Analyse Mathématique
8 Transactions of the American Mathematical Society
7 Complex Variables. Theory and Application
6 Michigan Mathematical Journal
6 Pacific Journal of Mathematics
5 History of Mathematics (Providence)
4 Journal of Mathematical Analysis and Applications
4 Computational Methods and Function Theory
3 Duke Mathematical Journal
3 Illinois Journal of Mathematics
2 American Mathematical Monthly
2 The Mathematical Intelligencer
2 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
2 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
2 Indiana University Mathematics Journal
2 Journal of Approximation Theory
2 Journal of the London Mathematical Society. Second Series
2 Bulletin of the American Mathematical Society
2 Journal of the London Mathematical Society
2 Mathematical Surveys and Monographs
2 Contemporary Mathematicians
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
1 Rocky Mountain Journal of Mathematics
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Colloquium Mathematicum
1 Commentarii Mathematici Helvetici
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Constructive Approximation
1 The Journal of Geometric Analysis
1 Numerical Algorithms
1 Notices of the American Mathematical Society
1 Indagationes Mathematicae. New Series
1 St. Petersburg Mathematical Journal
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Complex Variables and Elliptic Equations
1 Pure and Applied Mathematics Quarterly
1 Cambridge Tracts in Mathematics
1 Grundlehren der Mathematischen Wissenschaften
1 Pure and Applied Mathematics (Academic Press)
1 Translations of Mathematical Monographs
1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
1 Analysis and Mathematical Physics
1 Pure and Applied Undergraduate Texts
1 Annales Academiae Scientiarum Fennicae. Series A I

Publications by Year

Citations contained in zbMATH Open

118 Publications have been cited 3,839 times in 3,163 Documents Cited by Year
Theory of \(H^ p\) spaces. Zbl 0215.20203
Duren, P. L.
1970
Univalent functions. Zbl 0514.30001
Duren, Peter L.
629
1983
Harmonic mappings in the plane. Zbl 1055.31001
Duren, Peter
372
2004
Bergman spaces. Zbl 1059.30001
Duren, Peter; Schuster, Alexander
195
2004
Linear functionals on \(H^ p\) spaces with \(0 < p < 1\). Zbl 0176.43102
Duren, P. L.; Romberg, B. W.; Shields, A. L.
123
1969
Estension of a theorem of Carleson. Zbl 0184.30503
Duren, P. L.
73
1969
Successive coefficients of univalent functions. Zbl 0398.30010
Duren, P. L.
60
1979
Singular measures and domains not of Smirnov type. Zbl 0174.37501
Duren, P. L.; Shapiro, H. S.; Shields, A. L.
50
1966
Contractive zero-divisors in Bergman spaces. Zbl 0739.30029
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl
44
1993
The Schwarzian derivative for harmonic mappings. Zbl 1054.31003
Chuaqui, Martin; Duren, Peter; Osgood, Brad
40
2003
Solutions for the generalized Loewner differential equation in several complex variables. Zbl 1196.32014
Duren, Peter; Graham, Ian; Hamada, Hidetaka; Kohr, Gabriela
37
2010
Coefficient estimates for univalent functions. Zbl 0119.29303
Duren, P. L.
34
1962
Curvature properties of planar harmonic mappings. Zbl 1051.30025
Chuaqui, Martin; Duren, Peter; Osgood, Brad O.
33
2004
The argument principle for harmonic functions. Zbl 0863.31001
Duren, Peter; Hengartner, Walter; Laugesen, Richard S.
32
1996
Invariant subspaces in Bergman spaces and the biharmonic equation. Zbl 0833.46044
Duren, P.; Khavinson, D.; Shapiro, H. S.; Sundberg, C.
32
1994
A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces. Zbl 1196.30046
Duren, Peter; Gallardo-Gutiérrez, Eva A.; Montes-Rodríguez, Alfonso
31
2007
Coefficient multipliers of \(H^ p\) and \(B^ p\) spaces. Zbl 0187.37701
Duren, P. L.; Shields, A. L.
27
1970
Univalent functions and orthonormal systems. Translated from the Russian by Israel Program for Scientific Translations. Translation edited by P. L. Duren. Zbl 0342.30006
Milin, I. M.
24
1977
Zeros of the hypergeometric polynomials \(F(-n,b;2b;z)\). Zbl 0969.33003
Driver, Kathy; Duren, Peter
23
2000
Logarithmic coefficients of univalent functions. Zbl 0436.30011
Duren, P. L.; Leung, Y. L.
21
1979
The pseudohyperbolic metric and Bergman spaces in the ball. Zbl 1109.32003
Duren, Peter; Weir, Rachel
20
2007
Invitation to classical analysis. Zbl 1244.00003
Duren, Peter
20
2012
Conformal invariants. Topics in geometric function theory. With a new foreword by Peter Duren, F. W. Gehring, and Brad Osgood and an extensive errata. Reprint of 1973 original published by McGraw-Hill Company. Zbl 1211.30002
Ahlfors, Lars V.
20
2010
The theory of the second variation in extremum problems for univalent functions. Zbl 0112.30302
Duren, P. L.; Schiffer, M.
19
1963
Harmonic mappings of multiply connected domains. Zbl 0885.30020
Duren, Peter; Hengartner, Walter
18
1997
A variational method for functions schlicht in an annulus. Zbl 0101.29705
Duren, P. L.; Schiffer, M.
18
1962
Univalence criteria for lifts of harmonic mappings to minimal surfaces. Zbl 1211.30011
Chuaqui, M.; Duren, P.; Osgood, B.
18
2007
Multiplicative isometries and isometric zero-divisors. Zbl 1210.30018
Aleman, Alexandru; Duren, Peter; Martín, María J.; Vukotić, Dragan
18
2010
Coefficients of meromorphic schlicht functions. Zbl 0214.08701
Duren, P. L.
17
1971
Extremal functions in invariant subspaces of Bergman spaces. Zbl 0853.30023
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.
17
1996
Robin capacity and extremal length. Zbl 0797.31009
Duren, Peter; Pfaltzgraff, John
15
1993
Coefficients of univalent functions. Zbl 0372.30012
Duren, Peter L.
15
1977
On the multipliers of \(H^ p\) spaces. Zbl 0175.42701
Duren, P. L.
13
1969
Schwarzian derivative criteria for valence of analytic and harmonic mappings. Zbl 1134.30315
Chuaqui, Martin; Duren, Peter; Osgood, Brad
13
2007
Properties of \(H^{p}\) (\(0<p<1\)) and its containing Banach space. Zbl 0181.40401
Duren, P. L.; Shields, A. L.
12
1969
Zeros of ultraspherical polynomials and the Hilbert-Klein formulas. Zbl 0993.33008
Driver, Kathy; Duren, Peter
12
2001
Ellipses, near ellipses, and harmonic Möbius transformations. Zbl 1068.30018
Chuaqui, Martin; Duren, Peter; Osgood, Brad
12
2005
Two-point distortion theorems for harmonic and pluriharmonic mappings. Zbl 1232.32007
Duren, Peter; Hamada, Hidetaka; Kohr, Gabriela
12
2011
Asymptotic properties of zeros of hypergeometric polynomials. Zbl 0983.33008
Duren, Peter L.; Guillou, Bertrand J.
12
2001
Linear extremal problems for harmonic mappings of the disk. Zbl 0693.30018
Duren, Peter; Schober, Glenn
11
1989
Robin functions and energy functionals of multiply connected domains. Zbl 0682.30015
Duren, P. L.; Schiffer, M. M.
11
1991
On uniformly discrete sequences in the disk. Zbl 1082.30041
Duren, Peter; Schuster, Alexander; Vukotić, Dragan
11
2005
Trajectories of the zeros of hypergeometric polynomials \(F(-n, b; 2b; z)\) for \(b< -\frac{1}{2}\). Zbl 0987.33001
Driver, K.; Duren, P.
11
2001
A variational method for harmonic mappings onto convex regions. Zbl 0606.30025
Duren, Peter; Schober, Glenn
10
1987
Physical interpretation and further properties of Robin capacity. Zbl 0896.30020
Duren, P.; Pfaltzgraff, J.; Thurman, E.
10
1997
Schwarzian derivatives and uniform local univalence. Zbl 1156.30019
Chuaqui, Martin; Duren, Peter; Osgood, Brad
10
2008
An arclength problem for close-to-convex functions. Zbl 0136.38001
Clunie, J.; Duren, P. L.
9
1966
Robin functions and distortion of capacity under conformal mapping. Zbl 0793.30018
Duren, Peter; Schiffer, M. M.
9
1993
Distortion in several variables. Zbl 0559.32004
Duren, Peter; Rudin, Walter
9
1986
Harmonic shears of regular polygons by hypergeometric functions. Zbl 0937.30006
Driver, Kathy; Duren, Peter
9
1999
Schwarzian norms and two-point distortion. Zbl 1253.30031
Chuaqui, Martin; Duren, Peter; Ma, William; Mejía, Diego; Minda, David; Osgood, Brad
8
2011
An inequality for complete elliptic integrals. Zbl 0816.33011
Anderson, G. D.; Duren, Peter; Vamanamurthy, M. K.
8
1994
Boundary correspondence and dilatation of harmonic mappings. Zbl 0892.30022
Duren, Peter; Khavinson, Dmitry
8
1997
Injectivity criteria for holomorphic curves in \(\mathbb{C}^n\). Zbl 1252.30003
Chuaqui, M.; Duren, P.; Osgood, B.
8
2011
Inequalities for logarithmic coefficients of univalent functions and their derivatives. Zbl 0642.30017
Andreev, V. V.; Duren, P. L.
8
1988
Asymptotic zero distribution of hypergeometric polynomials. Zbl 0935.33004
Driver, Kathy; Duren, Peter
8
1999
Elliptic capacity and its distortion under conformal mapping. Zbl 1026.30023
Duren, Peter; Kühnau, Reiner
8
2003
Harmonic mappings related to Scherk’s saddle-tower minimal surfaces. Zbl 0982.53008
Duren, Peter; Thygerson, William R.
8
2000
Oscillation of solutions of linear differential equations. Zbl 1182.34046
Chuaqui, Martin; Duren, Peter; Osgood, Brad; Stowe, Dennis
8
2009
Nonvanishing univalent functions. II. Zbl 0572.30020
Duren, P.; Schober, G.
7
1982
Distortion in certain conformal mappings of an annulus. Zbl 0116.05801
Duren, P. L.
7
1963
A century of mathematics in America. Part I. Ed. with the assistance of Richard A. Askey and Uta C. Merzbach. Zbl 0656.00001
6
1988
Polynomials orthogonal over a curve. Zbl 0132.05801
Duren, P. L.
6
1965
An arclength problem for close-to-convex functions. Zbl 0136.37904
Duren, P. L.
6
1964
Mean growth and coefficients of \(H^ p\) functions. Zbl 0194.38202
Duren, P. L.; Taylor, G. D.
6
1970
Schwarzian derivatives of convex mappings. Zbl 1239.30003
Chuaqui, Martin; Duren, Peter; Osgood, Brad
6
2011
Robin capacity. Zbl 0939.30016
Duren, Peter
6
1999
Hyperbolic capacity and its distortion under conformal mapping. Zbl 0974.31001
Duren, Peter; Pfaltzgraff, John
6
1999
Finite unions of interpolation sequences. Zbl 0994.30032
Duren, Peter; Schuster, Alexander P.
6
2002
Zeros of hypergeometric functions. Zbl 1009.33004
Boggs, Kathryn; Duren, Peter
6
2001
A century of mathematics in America. Part II. Ed. with the assistance of Richard A. Askey and Uta C. Merzbach. Zbl 0659.00007
5
1989
Extension of a result of Beurling on invariant subspaces. Zbl 0121.09301
Duren, P. L.
5
1961
On the Bloch-Nevanlinna conjecture. Zbl 0187.02601
Duren, P. L.
5
1969
Schwarzian derivatives and homeomorphic extensions. Zbl 0204.09201
Duren, P. L.; Lehto, O.
5
1970
Nonvanishing univalent functions. Zbl 0411.30010
Duren, Peter; Schober, Glenn
5
1980
Quasiconformal extensions to space of Weierstrass-Enneper lifts. Zbl 1410.30005
Chuaqui, M.; Duren, P.; Osgood, B.
5
2018
Multiplication invariant subspaces of the Bergman space. Zbl 1071.30033
Carswell, Brent J.; Duren, Peter L.; Stessin, Michael I.
5
2002
Golden years of Moscow mathematics. 2nd ed. Zbl 1137.01018
5
2007
Restrictions of \(H^p\) functions to the diagonal of the polydisc. Zbl 0331.32002
Duren, P. L.; Shields, A. L.
5
1975
Random series and bounded mean oscillation. Zbl 0565.30001
Duren, Peter
4
1985
Univalent functions which map onto regions of given transfinite diameter. Zbl 0724.30018
Duren, P. L.; Schiffer, M. M.
4
1991
Invariant subspaces of tridiagonal operators. Zbl 0119.11301
Duren, P. L.
4
1963
Interpolation problems in function spaces. Zbl 0227.46033
Duren, P. L.; Williams, D. L.
4
1972
Uniform densities of regular sequences in the unit disk. Zbl 0948.30054
Duren, Peter L.; Schuster, Alexander P.; Seip, Kristian
4
2000
Menahem Max Schiffer. Selected papers. Volume 2. Edited by Peter Duren and Lawrence Zalcman. Zbl 1295.01020
Schiffer, Menahem Max
4
2014
A decomposition theorem for planar harmonic mappings. Zbl 0841.30019
Duren, Peter; Hengartner, Walter
3
1996
Golden years of Moscow mathematics. Zbl 0793.01001
3
1993
Harmonic mappings onto stars. Zbl 1112.31001
Duren, Peter; McDougall, Jane; Schaubroeck, Lisbeth
3
2005
Subordination. Zbl 0372.30013
Duren, Peter
3
1977
Applications of the Garabedian-Schiffer inequality. Zbl 0334.30008
Duren, Peter L.
3
1976
Two-point distortion theorems for harmonic mappings. Zbl 1207.30035
Chuaqui, Martin; Duren, Peter; Osgood, Brad
3
2009
Generalized support points of the set of univalent functions. Zbl 0602.30022
Duren, Peter; Leung, Y. J.
2
1986
Smoothness of functions generated by Riesz products. Zbl 0136.04006
Duren, P. L.
2
1965
Arcs omitted by support points of univalent functions. Zbl 0472.30022
Duren, Peter L.
2
1981
The Legendre relation for elliptic integrals. Zbl 0787.33010
Duren, Peter
2
1991
Concave conformal mappings and pre-vertices of Schwarz-Christoffel mappings. Zbl 1283.30048
Chuaqui, M.; Duren, P.; Osgood, B.
2
2012
Two-slit mappings and the Marx conjecture. Zbl 0228.30007
Duren, Peter L.; McLaughlin, Renate
2
1972
Smirnov domains and conjugate functions. Zbl 0235.30038
Duren, Peter L.
2
1972
Conformal mappings onto nonoverlapping regions. Zbl 0658.30017
Duren, P. L.; Schiffer, M. M.
2
1988
Menahem Max Schiffer. Selected papers. Volume 1. Edited by Peter Duren and Lawrence Zalcman. Zbl 1295.01019
Schiffer, Menahem Max
2
2013
Quasiconformal extensions to space of Weierstrass-Enneper lifts. Zbl 1410.30005
Chuaqui, M.; Duren, P.; Osgood, B.
5
2018
Menahem Max Schiffer. Selected papers. Volume 2. Edited by Peter Duren and Lawrence Zalcman. Zbl 1295.01020
Schiffer, Menahem Max
4
2014
Lawrence Zalcman: a mathematical biosketch. Zbl 1301.01015
Duren, Peter
1
2014
Menahem Max Schiffer. Selected papers. Volume 1. Edited by Peter Duren and Lawrence Zalcman. Zbl 1295.01019
Schiffer, Menahem Max
2
2013
Invitation to classical analysis. Zbl 1244.00003
Duren, Peter
20
2012
Concave conformal mappings and pre-vertices of Schwarz-Christoffel mappings. Zbl 1283.30048
Chuaqui, M.; Duren, P.; Osgood, B.
2
2012
Two-point distortion theorems for harmonic and pluriharmonic mappings. Zbl 1232.32007
Duren, Peter; Hamada, Hidetaka; Kohr, Gabriela
12
2011
Schwarzian norms and two-point distortion. Zbl 1253.30031
Chuaqui, Martin; Duren, Peter; Ma, William; Mejía, Diego; Minda, David; Osgood, Brad
8
2011
Injectivity criteria for holomorphic curves in \(\mathbb{C}^n\). Zbl 1252.30003
Chuaqui, M.; Duren, P.; Osgood, B.
8
2011
Schwarzian derivatives of convex mappings. Zbl 1239.30003
Chuaqui, Martin; Duren, Peter; Osgood, Brad
6
2011
On a theorem of Haimo regarding concave mappings. Zbl 1243.30014
Chuaqui, Martin; Duren, Peter; Osgood, Brad
1
2011
Solutions for the generalized Loewner differential equation in several complex variables. Zbl 1196.32014
Duren, Peter; Graham, Ian; Hamada, Hidetaka; Kohr, Gabriela
37
2010
Conformal invariants. Topics in geometric function theory. With a new foreword by Peter Duren, F. W. Gehring, and Brad Osgood and an extensive errata. Reprint of 1973 original published by McGraw-Hill Company. Zbl 1211.30002
Ahlfors, Lars V.
20
2010
Multiplicative isometries and isometric zero-divisors. Zbl 1210.30018
Aleman, Alexandru; Duren, Peter; Martín, María J.; Vukotić, Dragan
18
2010
Oscillation of solutions of linear differential equations. Zbl 1182.34046
Chuaqui, Martin; Duren, Peter; Osgood, Brad; Stowe, Dennis
8
2009
Two-point distortion theorems for harmonic mappings. Zbl 1207.30035
Chuaqui, Martin; Duren, Peter; Osgood, Brad
3
2009
Changing faces: the mistaken portrait of Legendre. Zbl 1186.01020
Duren, Peter
1
2009
Schwarzian derivatives and uniform local univalence. Zbl 1156.30019
Chuaqui, Martin; Duren, Peter; Osgood, Brad
10
2008
Robert Jentzsch, mathematician and poet. Zbl 1191.01041
Duren, Peter; Herbig, Anne-Katrin; Khavinson, Dmitry
1
2008
A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces. Zbl 1196.30046
Duren, Peter; Gallardo-Gutiérrez, Eva A.; Montes-Rodríguez, Alfonso
31
2007
The pseudohyperbolic metric and Bergman spaces in the ball. Zbl 1109.32003
Duren, Peter; Weir, Rachel
20
2007
Univalence criteria for lifts of harmonic mappings to minimal surfaces. Zbl 1211.30011
Chuaqui, M.; Duren, P.; Osgood, B.
18
2007
Schwarzian derivative criteria for valence of analytic and harmonic mappings. Zbl 1134.30315
Chuaqui, Martin; Duren, Peter; Osgood, Brad
13
2007
Golden years of Moscow mathematics. 2nd ed. Zbl 1137.01018
5
2007
Ellipses, near ellipses, and harmonic Möbius transformations. Zbl 1068.30018
Chuaqui, Martin; Duren, Peter; Osgood, Brad
12
2005
On uniformly discrete sequences in the disk. Zbl 1082.30041
Duren, Peter; Schuster, Alexander; Vukotić, Dragan
11
2005
Harmonic mappings onto stars. Zbl 1112.31001
Duren, Peter; McDougall, Jane; Schaubroeck, Lisbeth
3
2005
Harmonic mappings in the plane. Zbl 1055.31001
Duren, Peter
372
2004
Bergman spaces. Zbl 1059.30001
Duren, Peter; Schuster, Alexander
195
2004
Curvature properties of planar harmonic mappings. Zbl 1051.30025
Chuaqui, Martin; Duren, Peter; Osgood, Brad O.
33
2004
The Schwarzian derivative for harmonic mappings. Zbl 1054.31003
Chuaqui, Martin; Duren, Peter; Osgood, Brad
40
2003
Elliptic capacity and its distortion under conformal mapping. Zbl 1026.30023
Duren, Peter; Kühnau, Reiner
8
2003
Finite unions of interpolation sequences. Zbl 0994.30032
Duren, Peter; Schuster, Alexander P.
6
2002
Multiplication invariant subspaces of the Bergman space. Zbl 1071.30033
Carswell, Brent J.; Duren, Peter L.; Stessin, Michael I.
5
2002
Zeros of ultraspherical polynomials and the Hilbert-Klein formulas. Zbl 0993.33008
Driver, Kathy; Duren, Peter
12
2001
Asymptotic properties of zeros of hypergeometric polynomials. Zbl 0983.33008
Duren, Peter L.; Guillou, Bertrand J.
12
2001
Trajectories of the zeros of hypergeometric polynomials \(F(-n, b; 2b; z)\) for \(b< -\frac{1}{2}\). Zbl 0987.33001
Driver, K.; Duren, P.
11
2001
Zeros of hypergeometric functions. Zbl 1009.33004
Boggs, Kathryn; Duren, Peter
6
2001
Zeros of the hypergeometric polynomials \(F(-n,b;2b;z)\). Zbl 0969.33003
Driver, Kathy; Duren, Peter
23
2000
Harmonic mappings related to Scherk’s saddle-tower minimal surfaces. Zbl 0982.53008
Duren, Peter; Thygerson, William R.
8
2000
Uniform densities of regular sequences in the unit disk. Zbl 0948.30054
Duren, Peter L.; Schuster, Alexander P.; Seip, Kristian
4
2000
Harmonic shears of regular polygons by hypergeometric functions. Zbl 0937.30006
Driver, Kathy; Duren, Peter
9
1999
Asymptotic zero distribution of hypergeometric polynomials. Zbl 0935.33004
Driver, Kathy; Duren, Peter
8
1999
Robin capacity. Zbl 0939.30016
Duren, Peter
6
1999
Hyperbolic capacity and its distortion under conformal mapping. Zbl 0974.31001
Duren, Peter; Pfaltzgraff, John
6
1999
Quasiconformal mappings and analysis. A collection of papers honoring Frederick W. Gehring to his 70th birthday. Proceedings of the international symposium, Ann Arbor, MI, USA, August 1995. Zbl 0883.00018
1
1998
Harmonic mappings of multiply connected domains. Zbl 0885.30020
Duren, Peter; Hengartner, Walter
18
1997
Physical interpretation and further properties of Robin capacity. Zbl 0896.30020
Duren, P.; Pfaltzgraff, J.; Thurman, E.
10
1997
Boundary correspondence and dilatation of harmonic mappings. Zbl 0892.30022
Duren, Peter; Khavinson, Dmitry
8
1997
The argument principle for harmonic functions. Zbl 0863.31001
Duren, Peter; Hengartner, Walter; Laugesen, Richard S.
32
1996
Extremal functions in invariant subspaces of Bergman spaces. Zbl 0853.30023
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.
17
1996
A decomposition theorem for planar harmonic mappings. Zbl 0841.30019
Duren, Peter; Hengartner, Walter
3
1996
Invariant subspaces in Bergman spaces and the biharmonic equation. Zbl 0833.46044
Duren, P.; Khavinson, D.; Shapiro, H. S.; Sundberg, C.
32
1994
An inequality for complete elliptic integrals. Zbl 0816.33011
Anderson, G. D.; Duren, Peter; Vamanamurthy, M. K.
8
1994
Contractive zero-divisors in Bergman spaces. Zbl 0739.30029
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl
44
1993
Robin capacity and extremal length. Zbl 0797.31009
Duren, Peter; Pfaltzgraff, John
15
1993
Robin functions and distortion of capacity under conformal mapping. Zbl 0793.30018
Duren, Peter; Schiffer, M. M.
9
1993
Golden years of Moscow mathematics. Zbl 0793.01001
3
1993
Glenn Edward Schober (1938-1991). Zbl 0795.01026
Duren, Peter; Leung, Y. J.
1
1993
Contractive zero-divisors in Bergman spaces. Zbl 0771.30039
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl
1
1992
Robin functions and energy functionals of multiply connected domains. Zbl 0682.30015
Duren, P. L.; Schiffer, M. M.
11
1991
Univalent functions which map onto regions of given transfinite diameter. Zbl 0724.30018
Duren, P. L.; Schiffer, M. M.
4
1991
The Legendre relation for elliptic integrals. Zbl 0787.33010
Duren, Peter
2
1991
Goluzin inequalities and minimum energy for mappings onto nonoverlapping regions. Zbl 0669.30011
Duren, P. L.; Schiffer, M. M.
1
1990
Linear extremal problems for harmonic mappings of the disk. Zbl 0693.30018
Duren, Peter; Schober, Glenn
11
1989
A century of mathematics in America. Part II. Ed. with the assistance of Richard A. Askey and Uta C. Merzbach. Zbl 0659.00007
5
1989
A century of mathematics in America. Part III. Ed. with the assistance of Richard A. Askey, Harold M. Edwards and Uta C. Merzbach. Zbl 0682.01001
1
1989
Inequalities for logarithmic coefficients of univalent functions and their derivatives. Zbl 0642.30017
Andreev, V. V.; Duren, P. L.
8
1988
A century of mathematics in America. Part I. Ed. with the assistance of Richard A. Askey and Uta C. Merzbach. Zbl 0656.00001
6
1988
Conformal mappings onto nonoverlapping regions. Zbl 0658.30017
Duren, P. L.; Schiffer, M. M.
2
1988
Grunsky inequalities for univalent functions with prescribed Hayman index. Zbl 0597.30029
Duren, P. L.; Schiffer, M. M.
1
1988
A variational method for harmonic mappings onto convex regions. Zbl 0606.30025
Duren, Peter; Schober, Glenn
10
1987
Distortion in several variables. Zbl 0559.32004
Duren, Peter; Rudin, Walter
9
1986
Generalized support points of the set of univalent functions. Zbl 0602.30022
Duren, Peter; Leung, Y. J.
2
1986
Regions of variability for univalent functions. Zbl 0598.30028
Duren, Peter; Ünal, Ayşenur
1
1986
The Bieberbach conjecture. Proceedings of the Symposium of the Occasion of the Proof (of the Bieberbach Conjecture, Purdue University, West Lafayette, Indiana, March 11-14, 1985). Zbl 0631.30001
1
1986
Random series and bounded mean oscillation. Zbl 0565.30001
Duren, Peter
4
1985
Univalent functions. Zbl 0514.30001
Duren, Peter L.
629
1983
Support points with maximum radial angle. Zbl 0512.30012
Duren, P. L.; Leung, Y. L.; Schiffer, M. M.
1
1983
Nonvanishing univalent functions. II. Zbl 0572.30020
Duren, P.; Schober, G.
7
1982
Arcs omitted by support points of univalent functions. Zbl 0472.30022
Duren, Peter L.
2
1981
Nonvanishing univalent functions. Zbl 0411.30010
Duren, Peter; Schober, Glenn
5
1980
Extremal problems for univalent functions. Zbl 0492.30013
Duren, Peter L.
1
1980
Successive coefficients of univalent functions. Zbl 0398.30010
Duren, P. L.
60
1979
Logarithmic coefficients of univalent functions. Zbl 0436.30011
Duren, P. L.; Leung, Y. L.
21
1979
Extreme points of spaces of univalent functions. Zbl 0377.30015
Duren, Peter L.
1
1978
Univalent functions and orthonormal systems. Translated from the Russian by Israel Program for Scientific Translations. Translation edited by P. L. Duren. Zbl 0342.30006
Milin, I. M.
24
1977
Coefficients of univalent functions. Zbl 0372.30012
Duren, Peter L.
15
1977
Subordination. Zbl 0372.30013
Duren, Peter
3
1977
Applications of the Garabedian-Schiffer inequality. Zbl 0334.30008
Duren, Peter L.
3
1976
Asymptotic behavior of coefficients of univalent functions. Zbl 0324.30025
Duren, Peter L.
2
1976
Restrictions of \(H^p\) functions to the diagonal of the polydisc. Zbl 0331.32002
Duren, P. L.; Shields, A. L.
5
1975
Estimation of coefficients of univalent functions by a Tauberian remainder theorem. Zbl 0296.30010
Duren, Peter L.
2
1974
Interpolation problems in function spaces. Zbl 0227.46033
Duren, P. L.; Williams, D. L.
4
1972
Two-slit mappings and the Marx conjecture. Zbl 0228.30007
Duren, Peter L.; McLaughlin, Renate
2
1972
Smirnov domains and conjugate functions. Zbl 0235.30038
Duren, Peter L.
2
1972
Coefficients of meromorphic schlicht functions. Zbl 0214.08701
Duren, P. L.
17
1971
On a class of schlicht functions. Zbl 0215.41503
Duren, P. L.; Schober, G. E.
1
1971
Theory of \(H^ p\) spaces. Zbl 0215.20203
Duren, P. L.
1970
Coefficient multipliers of \(H^ p\) and \(B^ p\) spaces. Zbl 0187.37701
Duren, P. L.; Shields, A. L.
27
1970
...and 18 more Documents
all top 5

Cited by 2,673 Authors

103 Ponnusamy, Saminathan
37 Duren, Peter Larkin
36 Hamada, Hidetaka
35 Srivastava, Hari Mohan
34 Rättyä, Jouni
33 Peláez, José Ángel
31 Girela, Daniel
31 Kohr, Gabriela
29 Chen, Shaolin
27 Kalaj, David
25 Khavinson, Dmitry S.
24 Wang, Xiantao
22 Li, Songxiao
21 Chuaqui, Martin
21 Rasila, Antti
21 Sugawa, Toshiyuki
19 Aleman, Alexandru
19 Ross, William T.
18 Colonna, Flavia
18 Iwaniec, Tadeusz
18 Jahangiri, Jay M.
18 Martín, María J.
18 Murugusundaramoorthy, Gangadharan
18 Onninen, Jani
18 Vukotić, Dragan
17 Blasco, Oscar
17 Bulut, Serap
17 Gallardo-Gutiérrez, Eva Antonia
17 Hernández, Rodrigo
17 Partington, Jonathan R.
17 Qian, Ruishen
16 Rodríguez-Piazza, Luis
16 Sahoo, Swadesh Kumar
15 Driver, Kathy A.
14 Abu-Muhanna, Yusuf
14 Bshouty, Daoud H.
14 Graham, Ian R.
14 Leblond, Juliette
14 Owa, Shigeyoshi
13 Ali, Rosihan Mohamed
13 Cima, Joseph A.
13 Dorff, Michael John
13 Mashreghi, Javad
13 Osgood, Brad G.
13 Porwal, Saurabh
13 Wirths, Karl-Joachim
13 Ye, Shanli
12 Kaliraj, Anbareeswaran Sairam
12 MacGregor, Thomas H.
12 Queffélec, Hervé
12 Ravichandran, Vaithiyanathan
12 Seco, Daniel
12 Wang, Zhigang
12 Wulan, Hasi
11 Abdulhadi, Zayid
11 Bénéteau, Catherine
11 Brevig, Ole Fredrik
11 Heittokangas, Janne M.
11 Ibrahim, Rabha Waell
11 Kayumov, Il’giz Rifatovich
11 Kim, Yong Chan
11 Lecko, Adam
11 Li, Daniel
11 Liu, Zhihong
11 Lou, Zengjian
11 Pavlović, Miroslav
11 Qian, Tao
11 Shapiro, Joel H.
11 Tang, Huo
11 Vamshee Krishna, Deekonda
10 Bao, Guanlong
10 Chen, Jiaolong
10 Chen, Xingdi
10 Cheng, Raymond
10 Contreras, Manuel D.
10 Dubinin, Vladimir N.
10 Ferguson, Timothy
10 Frasin, Basem Aref
10 Gröhn, Janne
10 Kovalev, Leonid V.
10 Lefèvre, Pascal
10 Li, Shuhai
10 Nestoridis, Vassili
10 Orhan, Halit
10 Sakar, Fethiye Müge
10 Stević, Stevo
10 Vasudevarao, Allu
10 Yamashita, Shinji
10 Zhu, Jianfeng
9 Baratchart, Laurent
9 Betsakos, Dimitrios
9 Bourdon, Paul S.
9 Bulboacă, Teodor
9 Cho, Nak Eun
9 Dong, Xinhan
9 Güney, Hatun Özlem
9 Hamidi, Samaneh Gholizadeh
9 Hartmann, Andreas
9 Hedenmalm, Håkan
9 Kumar, Sushil
...and 2,573 more Authors
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Cited in 387 Serials

303 Journal of Mathematical Analysis and Applications
127 Journal of Functional Analysis
124 Proceedings of the American Mathematical Society
103 Computational Methods and Function Theory
78 Complex Analysis and Operator Theory
76 Journal d’Analyse Mathématique
58 Transactions of the American Mathematical Society
56 Integral Equations and Operator Theory
47 Mathematische Zeitschrift
44 Advances in Mathematics
44 Journal of Approximation Theory
43 The Journal of Geometric Analysis
41 Monatshefte für Mathematik
39 Rocky Mountain Journal of Mathematics
38 Applied Mathematics and Computation
37 Journal of Mathematical Sciences (New York)
37 Complex Variables and Elliptic Equations
36 Analysis and Mathematical Physics
33 Archiv der Mathematik
32 Abstract and Applied Analysis
31 Journal of Computational and Applied Mathematics
31 Turkish Journal of Mathematics
29 Journal of Inequalities and Applications
28 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
28 Journal of Function Spaces
27 Israel Journal of Mathematics
26 Ukrainian Mathematical Journal
26 Journal of Soviet Mathematics
24 Filomat
24 Mediterranean Journal of Mathematics
23 Mathematische Annalen
23 Results in Mathematics
23 AIMS Mathematics
22 Mathematical Notes
22 Arkiv för Matematik
21 Afrika Matematika
20 Constructive Approximation
20 Bulletin des Sciences Mathématiques
20 Comptes Rendus. Mathématique. Académie des Sciences, Paris
19 Indagationes Mathematicae. New Series
18 Computers & Mathematics with Applications
17 International Journal of Mathematics and Mathematical Sciences
16 Bulletin of the Australian Mathematical Society
16 Linear Algebra and its Applications
15 Archive for Rational Mechanics and Analysis
14 Canadian Mathematical Bulletin
14 Duke Mathematical Journal
14 Acta Mathematica Sinica. English Series
14 Asian-European Journal of Mathematics
14 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
12 Communications in Mathematical Physics
12 Automatica
12 Journal of Differential Equations
12 Mathematische Nachrichten
12 Proceedings of the Japan Academy. Series A
12 Systems & Control Letters
12 The Journal of Analysis
12 The Journal of Fourier Analysis and Applications
12 Acta Mathematica Scientia. Series B. (English Edition)
11 Annales de l’Institut Fourier
11 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
10 Lithuanian Mathematical Journal
10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
10 Bulletin of the London Mathematical Society
10 Czechoslovak Mathematical Journal
10 Illinois Journal of Mathematics
10 Siberian Mathematical Journal
10 Revista Matemática Iberoamericana
10 Journal de Mathématiques Pures et Appliquées. Neuvième Série
10 Russian Mathematics
10 Potential Analysis
10 Lobachevskii Journal of Mathematics
10 Hacettepe Journal of Mathematics and Statistics
10 Science China. Mathematics
10 Concrete Operators
9 Analysis Mathematica
9 Acta Mathematica
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Inventiones Mathematicae
9 Applied Mathematics Letters
9 Integral Transforms and Special Functions
9 Problemy Analiza. Issues of Analysis
9 Annales Fennici Mathematici
8 The Mathematical Intelligencer
8 Manuscripta Mathematica
8 Rendiconti del Circolo Matemàtico di Palermo. Serie II
8 Tôhoku Mathematical Journal. Second Series
8 Zeitschrift für Analysis und ihre Anwendungen
8 Science in China. Series A
8 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
8 Journal of the Egyptian Mathematical Society
8 Conformal Geometry and Dynamics
8 Communications of the Korean Mathematical Society
8 Banach Journal of Mathematical Analysis
8 Journal of Complex Analysis
7 Kodai Mathematical Journal
7 Calculus of Variations and Partial Differential Equations
7 Boletín de la Sociedad Matemática Mexicana. Third Series
7 Annales Academiae Scientiarum Fennicae. Mathematica
7 Journal of the Australian Mathematical Society
...and 287 more Serials
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Cited in 58 Fields

2,103 Functions of a complex variable (30-XX)
669 Operator theory (47-XX)
525 Functional analysis (46-XX)
416 Potential theory (31-XX)
261 Several complex variables and analytic spaces (32-XX)
200 Harmonic analysis on Euclidean spaces (42-XX)
159 Partial differential equations (35-XX)
132 Special functions (33-XX)
96 Approximations and expansions (41-XX)
80 Ordinary differential equations (34-XX)
63 Real functions (26-XX)
58 Systems theory; control (93-XX)
56 Numerical analysis (65-XX)
55 Differential geometry (53-XX)
54 Probability theory and stochastic processes (60-XX)
49 Dynamical systems and ergodic theory (37-XX)
36 Number theory (11-XX)
36 Global analysis, analysis on manifolds (58-XX)
34 Quantum theory (81-XX)
33 History and biography (01-XX)
31 Measure and integration (28-XX)
27 Combinatorics (05-XX)
26 Linear and multilinear algebra; matrix theory (15-XX)
25 Integral equations (45-XX)
24 Fluid mechanics (76-XX)
23 Abstract harmonic analysis (43-XX)
19 Integral transforms, operational calculus (44-XX)
19 Information and communication theory, circuits (94-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
15 Statistics (62-XX)
10 Statistical mechanics, structure of matter (82-XX)
9 Topological groups, Lie groups (22-XX)
9 Mechanics of deformable solids (74-XX)
7 Difference and functional equations (39-XX)
7 Convex and discrete geometry (52-XX)
6 Nonassociative rings and algebras (17-XX)
6 Geometry (51-XX)
6 Computer science (68-XX)
6 Optics, electromagnetic theory (78-XX)
5 General and overarching topics; collections (00-XX)
5 Group theory and generalizations (20-XX)
5 Sequences, series, summability (40-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Algebraic geometry (14-XX)
4 Manifolds and cell complexes (57-XX)
4 Relativity and gravitational theory (83-XX)
3 Associative rings and algebras (16-XX)
3 General topology (54-XX)
3 Algebraic topology (55-XX)
3 Astronomy and astrophysics (85-XX)
2 Mathematical logic and foundations (03-XX)
2 Field theory and polynomials (12-XX)
2 Biology and other natural sciences (92-XX)
1 \(K\)-theory (19-XX)
1 Mechanics of particles and systems (70-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)
1 Mathematics education (97-XX)

Citations by Year

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