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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
965 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

119 Publications have been cited 5,208 times in 4,299 Documents Cited by Year
Theory of \(H^ p\) spaces. Zbl 0215.20203
Duren, P. L.
1970
Univalent functions. Zbl 0514.30001
Duren, Peter L.
1983
Harmonic mappings in the plane. Zbl 1055.31001
Duren, Peter
453
2004
Bergman spaces. Zbl 1059.30001
Duren, Peter; Schuster, Alexander
346
2004
Linear functionals on \(H^ p\) spaces with \(0 < p < 1\). Zbl 0176.43102
Duren, P. L.; Romberg, B. W.; Shields, A. L.
137
1969
Estension of a theorem of Carleson. Zbl 0184.30503
Duren, P. L.
79
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.
54
1966
The Schwarzian derivative for harmonic mappings. Zbl 1054.31003
Chuaqui, Martin; Duren, Peter; Osgood, Brad
49
2003
Contractive zero-divisors in Bergman spaces. Zbl 0739.30029
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl
48
1993
Solutions for the generalized Loewner differential equation in several complex variables. Zbl 1196.32014
Duren, Peter; Graham, Ian; Hamada, Hidetaka; Kohr, Gabriela
42
2010
A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces. Zbl 1196.30046
Duren, Peter; Gallardo-Gutiérrez, Eva A.; Montes-Rodríguez, Alfonso
39
2007
Curvature properties of planar harmonic mappings. Zbl 1051.30025
Chuaqui, Martin; Duren, Peter; Osgood, Brad O.
38
2004
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.
38
1977
The argument principle for harmonic functions. Zbl 0863.31001
Duren, Peter; Hengartner, Walter; Laugesen, Richard S.
36
1996
Invariant subspaces in Bergman spaces and the biharmonic equation. Zbl 0833.46044
Duren, P.; Khavinson, D.; Shapiro, H. S.; Sundberg, C.
35
1994
Coefficient estimates for univalent functions. Zbl 0119.29303
Duren, P. L.
34
1962
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.
33
2010
The pseudohyperbolic metric and Bergman spaces in the ball. Zbl 1109.32003
Duren, Peter; Weir, Rachel
28
2007
Coefficient multipliers of \(H^ p\) and \(B^ p\) spaces. Zbl 0187.37701
Duren, P. L.; Shields, A. L.
28
1970
Invitation to classical analysis. Zbl 1244.00003
Duren, Peter
27
2012
Zeros of the hypergeometric polynomials \(F(-n,b;2b;z)\). Zbl 0969.33003
Driver, Kathy; Duren, Peter
26
2000
Logarithmic coefficients of univalent functions. Zbl 0436.30011
Duren, P. L.; Leung, Y. L.
26
1979
Multiplicative isometries and isometric zero-divisors. Zbl 1210.30018
Aleman, Alexandru; Duren, Peter; Martín, María J.; Vukotić, Dragan
19
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
19
1997
Coefficients of meromorphic schlicht functions. Zbl 0214.08701
Duren, P. L.
19
1971
Extremal functions in invariant subspaces of Bergman spaces. Zbl 0853.30023
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.
18
1996
Univalence criteria for lifts of harmonic mappings to minimal surfaces. Zbl 1211.30011
Chuaqui, M.; Duren, P.; Osgood, B.
18
2007
A variational method for functions schlicht in an annulus. Zbl 0101.29705
Duren, P. L.; Schiffer, M.
18
1962
Robin capacity and extremal length. Zbl 0797.31009
Duren, Peter; Pfaltzgraff, John
17
1993
Two-point distortion theorems for harmonic and pluriharmonic mappings. Zbl 1232.32007
Duren, Peter; Hamada, Hidetaka; Kohr, Gabriela
17
2011
Coefficients of univalent functions. Zbl 0372.30012
Duren, Peter L.
16
1977
On the multipliers of \(H^ p\) spaces. Zbl 0175.42701
Duren, P. L.
15
1969
Schwarzian derivative criteria for valence of analytic and harmonic mappings. Zbl 1134.30315
Chuaqui, Martin; Duren, Peter; Osgood, Brad
14
2007
Asymptotic properties of zeros of hypergeometric polynomials. Zbl 0983.33008
Duren, Peter L.; Guillou, Bertrand J.
14
2001
A century of mathematics in America. Part II. Ed. with the assistance of Richard A. Askey and Uta C. Merzbach. Zbl 0659.00007
13
1989
Robin functions and energy functionals of multiply connected domains. Zbl 0682.30015
Duren, P. L.; Schiffer, M. M.
13
1991
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
12
1989
Trajectories of the zeros of hypergeometric polynomials \(F(-n, b; 2b; z)\) for \(b< -\frac{1}{2}\). Zbl 0987.33001
Driver, K.; Duren, P.
12
2001
Zeros of ultraspherical polynomials and the Hilbert-Klein formulas. Zbl 0993.33008
Driver, Kathy; Duren, Peter
12
2001
Properties of \(H^{p}\) (\(0<p<1\)) and its containing Banach space. Zbl 0181.40401
Duren, P. L.; Shields, A. L.
12
1969
Ellipses, near ellipses, and harmonic Möbius transformations. Zbl 1068.30018
Chuaqui, Martin; Duren, Peter; Osgood, Brad
12
2005
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 I. Ed. with the assistance of Richard A. Askey and Uta C. Merzbach. Zbl 0656.00001
11
1988
Schwarzian derivatives and uniform local univalence. Zbl 1156.30019
Chuaqui, Martin; Duren, Peter; Osgood, Brad
11
2008
Physical interpretation and further properties of Robin capacity. Zbl 0896.30020
Duren, P.; Pfaltzgraff, J.; Thurman, E.
11
1997
Inequalities for logarithmic coefficients of univalent functions and their derivatives. Zbl 0642.30017
Andreev, V. V.; Duren, P. L.
10
1988
Boundary correspondence and dilatation of harmonic mappings. Zbl 0892.30022
Duren, Peter; Khavinson, Dmitry
10
1997
A variational method for harmonic mappings onto convex regions. Zbl 0606.30025
Duren, Peter; Schober, Glenn
10
1987
On uniformly discrete sequences in the disk. Zbl 1082.30041
Duren, Peter; Schuster, Alexander; Vukotić, Dragan
10
2005
Asymptotic zero distribution of hypergeometric polynomials. Zbl 0935.33004
Driver, Kathy; Duren, Peter
9
1999
Distortion in several variables. Zbl 0559.32004
Duren, Peter; Rudin, Walter
9
1986
Robin functions and distortion of capacity under conformal mapping. Zbl 0793.30018
Duren, Peter; Schiffer, M. M.
9
1993
Harmonic shears of regular polygons by hypergeometric functions. Zbl 0937.30006
Driver, Kathy; Duren, Peter
9
1999
An arclength problem for close-to-convex functions. Zbl 0136.38001
Clunie, J.; Duren, P. L.
9
1966
Schwarzian derivatives of convex mappings. Zbl 1239.30003
Chuaqui, Martin; Duren, Peter; Osgood, Brad
9
2011
Golden years of Moscow mathematics. Zbl 0793.01001
8
1993
An inequality for complete elliptic integrals. Zbl 0816.33011
Anderson, G. D.; Duren, Peter; Vamanamurthy, M. K.
8
1994
Harmonic mappings related to Scherk’s saddle-tower minimal surfaces. Zbl 0982.53008
Duren, Peter; Thygerson, William R.
8
2000
Schwarzian norms and two-point distortion. Zbl 1253.30031
Chuaqui, Martin; Duren, Peter; Ma, William; Mejía, Diego; Minda, David; Osgood, Brad
8
2011
Zeros of hypergeometric functions. Zbl 1009.33004
Boggs, Kathryn; Duren, Peter
8
2001
Injectivity criteria for holomorphic curves in \(\mathbb{C}^n\). Zbl 1252.30003
Chuaqui, M.; Duren, P.; Osgood, B.
8
2011
Elliptic capacity and its distortion under conformal mapping. Zbl 1026.30023
Duren, Peter; Kühnau, Reiner
8
2003
Oscillation of solutions of linear differential equations. Zbl 1182.34046
Chuaqui, Martin; Duren, Peter; Osgood, Brad; Stowe, Dennis
8
2009
Robin capacity. Zbl 0939.30016
Duren, Peter
7
1999
Distortion in certain conformal mappings of an annulus. Zbl 0116.05801
Duren, P. L.
7
1963
On the Bloch-Nevanlinna conjecture. Zbl 0187.02601
Duren, P. L.
7
1969
Nonvanishing univalent functions. II. Zbl 0572.30020
Duren, P.; Schober, G.
7
1982
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
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 and homeomorphic extensions. Zbl 0204.09201
Duren, P. L.; Lehto, O.
6
1970
Random series and bounded mean oscillation. Zbl 0565.30001
Duren, Peter
6
1985
Menahem Max Schiffer. Selected papers. Volume 2. Edited by Peter Duren and Lawrence Zalcman. Zbl 1295.01020
Schiffer, Menahem Max
6
2014
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
5
1986
Golden years of Moscow mathematics. 2nd ed. Zbl 1137.01018
5
2007
Nonvanishing univalent functions. Zbl 0411.30010
Duren, Peter; Schober, Glenn
5
1980
Extension of a result of Beurling on invariant subspaces. Zbl 0121.09301
Duren, P. L.
5
1961
Interpolation problems in function spaces. Zbl 0227.46033
Duren, P. L.; Williams, D. L.
5
1972
Restrictions of \(H^p\) functions to the diagonal of the polydisc. Zbl 0331.32002
Duren, P. L.; Shields, A. L.
5
1975
Multiplication invariant subspaces of the Bergman space. Zbl 1071.30033
Carswell, Brent J.; Duren, Peter L.; Stessin, Michael I.
5
2002
Quasiconformal extensions to space of Weierstrass-Enneper lifts. Zbl 1410.30005
Chuaqui, M.; Duren, P.; Osgood, B.
5
2018
Univalent functions which map onto regions of given transfinite diameter. Zbl 0724.30018
Duren, P. L.; Schiffer, M. M.
4
1991
A decomposition theorem for planar harmonic mappings. Zbl 0841.30019
Duren, Peter; Hengartner, Walter
4
1996
Uniform densities of regular sequences in the unit disk. Zbl 0948.30054
Duren, Peter L.; Schuster, Alexander P.; Seip, Kristian
4
2000
Invariant subspaces of tridiagonal operators. Zbl 0119.11301
Duren, P. L.
4
1963
The Legendre relation for elliptic integrals. Zbl 0787.33010
Duren, Peter
3
1991
Conformal mappings onto nonoverlapping regions. Zbl 0658.30017
Duren, P. L.; Schiffer, M. M.
3
1988
Subordination. Zbl 0372.30013
Duren, Peter
3
1977
Applications of the Garabedian-Schiffer inequality. Zbl 0334.30008
Duren, Peter L.
3
1976
Harmonic mappings onto stars. Zbl 1112.31001
Duren, Peter; McDougall, Jane; Schaubroeck, Lisbeth
3
2005
Two-point distortion theorems for harmonic mappings. Zbl 1207.30035
Chuaqui, Martin; Duren, Peter; Osgood, Brad
3
2009
Menahem Max Schiffer. Selected papers. Volume 1. Edited by Peter Duren and Lawrence Zalcman. Zbl 1295.01019
Schiffer, Menahem Max
3
2013
Smoothness of functions generated by Riesz products. Zbl 0136.04006
Duren, P. L.
2
1965
Smirnov domains and conjugate functions. Zbl 0235.30038
Duren, Peter L.
2
1972
Two-slit mappings and the Marx conjecture. Zbl 0228.30007
Duren, Peter L.; McLaughlin, Renate
2
1972
Asymptotic behavior of coefficients of univalent functions. Zbl 0324.30025
Duren, Peter L.
2
1976
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
6
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
3
2013
Invitation to classical analysis. Zbl 1244.00003
Duren, Peter
27
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
17
2011
Schwarzian derivatives of convex mappings. Zbl 1239.30003
Chuaqui, Martin; Duren, Peter; Osgood, Brad
9
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
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
42
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.
33
2010
Multiplicative isometries and isometric zero-divisors. Zbl 1210.30018
Aleman, Alexandru; Duren, Peter; Martín, María J.; Vukotić, Dragan
19
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
11
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
39
2007
The pseudohyperbolic metric and Bergman spaces in the ball. Zbl 1109.32003
Duren, Peter; Weir, Rachel
28
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
14
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
10
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
453
2004
Bergman spaces. Zbl 1059.30001
Duren, Peter; Schuster, Alexander
346
2004
Curvature properties of planar harmonic mappings. Zbl 1051.30025
Chuaqui, Martin; Duren, Peter; Osgood, Brad O.
38
2004
The Schwarzian derivative for harmonic mappings. Zbl 1054.31003
Chuaqui, Martin; Duren, Peter; Osgood, Brad
49
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
Asymptotic properties of zeros of hypergeometric polynomials. Zbl 0983.33008
Duren, Peter L.; Guillou, Bertrand J.
14
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.
12
2001
Zeros of ultraspherical polynomials and the Hilbert-Klein formulas. Zbl 0993.33008
Driver, Kathy; Duren, Peter
12
2001
Zeros of hypergeometric functions. Zbl 1009.33004
Boggs, Kathryn; Duren, Peter
8
2001
Zeros of the hypergeometric polynomials \(F(-n,b;2b;z)\). Zbl 0969.33003
Driver, Kathy; Duren, Peter
26
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
Asymptotic zero distribution of hypergeometric polynomials. Zbl 0935.33004
Driver, Kathy; Duren, Peter
9
1999
Harmonic shears of regular polygons by hypergeometric functions. Zbl 0937.30006
Driver, Kathy; Duren, Peter
9
1999
Robin capacity. Zbl 0939.30016
Duren, Peter
7
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
19
1997
Physical interpretation and further properties of Robin capacity. Zbl 0896.30020
Duren, P.; Pfaltzgraff, J.; Thurman, E.
11
1997
Boundary correspondence and dilatation of harmonic mappings. Zbl 0892.30022
Duren, Peter; Khavinson, Dmitry
10
1997
The argument principle for harmonic functions. Zbl 0863.31001
Duren, Peter; Hengartner, Walter; Laugesen, Richard S.
36
1996
Extremal functions in invariant subspaces of Bergman spaces. Zbl 0853.30023
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.
18
1996
A decomposition theorem for planar harmonic mappings. Zbl 0841.30019
Duren, Peter; Hengartner, Walter
4
1996
Invariant subspaces in Bergman spaces and the biharmonic equation. Zbl 0833.46044
Duren, P.; Khavinson, D.; Shapiro, H. S.; Sundberg, C.
35
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
48
1993
Robin capacity and extremal length. Zbl 0797.31009
Duren, Peter; Pfaltzgraff, John
17
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
8
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.
13
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
3
1991
Goluzin inequalities and minimum energy for mappings onto nonoverlapping regions. Zbl 0669.30011
Duren, P. L.; Schiffer, M. M.
1
1990
A century of mathematics in America. Part II. Ed. with the assistance of Richard A. Askey and Uta C. Merzbach. Zbl 0659.00007
13
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
12
1989
Linear extremal problems for harmonic mappings of the disk. Zbl 0693.30018
Duren, Peter; Schober, Glenn
11
1989
Smirnov domains. Zbl 0784.30001
Duren, P. L.
1
1989
A century of mathematics in America. Part I. Ed. with the assistance of Richard A. Askey and Uta C. Merzbach. Zbl 0656.00001
11
1988
Inequalities for logarithmic coefficients of univalent functions and their derivatives. Zbl 0642.30017
Andreev, V. V.; Duren, P. L.
10
1988
Conformal mappings onto nonoverlapping regions. Zbl 0658.30017
Duren, P. L.; Schiffer, M. M.
3
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
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
5
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
2
1986
Random series and bounded mean oscillation. Zbl 0565.30001
Duren, Peter
6
1985
Univalent functions. Zbl 0514.30001
Duren, Peter L.
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.
26
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.
38
1977
Coefficients of univalent functions. Zbl 0372.30012
Duren, Peter L.
16
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.
5
1972
Smirnov domains and conjugate functions. Zbl 0235.30038
Duren, Peter L.
2
1972
Two-slit mappings and the Marx conjecture. Zbl 0228.30007
Duren, Peter L.; McLaughlin, Renate
2
1972
Coefficients of meromorphic schlicht functions. Zbl 0214.08701
Duren, P. L.
19
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
...and 19 more Documents
all top 5

Cited by 3,316 Authors

120 Ponnusamy, Saminathan
83 Srivastava, Hari Mohan
42 Hamada, Hidetaka
37 Duren, Peter Larkin
36 Murugusundaramoorthy, Gangadharan
36 Peláez, José Ángel
35 Girela, Daniel
35 Rättyä, Jouni
34 Chen, Shaolin
32 Bulut, Serap
32 Kohr, Gabriela
31 Kalaj, David
31 Yalçin, Sibel
29 Li, Songxiao
27 Altinkaya, Şahsene
27 Khavinson, Dmitry S.
26 Lecko, Adam
25 Darus, Maslina
25 Sugawa, Toshiyuki
25 Vamshee Krishna, Deekonda
25 Wang, Xiantao
24 Ravichandran, Vaithiyanathan
24 Ross, William T.
23 Blasco, Oscar
23 Chuaqui, Martin
23 Jahangiri, Jay M.
23 Karapetyants, Alekseĭ Nikolaevich
23 Mashreghi, Javad
23 Rasila, Antti
22 Bulboacă, Teodor
22 Owa, Shigeyoshi
22 Sahoo, Swadesh Kumar
21 Aleman, Alexandru
21 Onninen, Jani
21 Wanas, Abbas Kareem
20 Hernández, Rodrigo
20 Kumar, Sushil
20 Qian, Ruishen
20 Sokół, Janusz
20 Vukotić, Dragan
19 Iwaniec, Tadeusz
19 Martín, María J.
18 Ali, Rosihan Mohamed
18 Colonna, Flavia
18 Gallardo-Gutiérrez, Eva Antonia
18 Kaliraj, Anbareeswaran Sairam
18 Orhan, Halit
18 Partington, Jonathan R.
18 Rodríguez-Piazza, Luis
18 Sim, Youngjae
17 Cho, Nak Eun
17 Frasin, Basem Aref
17 Güney, Hatun Özlem
17 Ibrahim, Rabha Waell
17 Irmak, Huseyin
17 Porwal, Saurabh
17 Tang, Huo
17 Vijaya, Kaliappan
17 Wulan, Hasi
17 Ye, Shanli
16 Abu-Muhanna, Yusuf
16 Bansal, Deepak
16 Leblond, Juliette
16 Swaminathan, Anbhu
15 Cima, Joseph A.
15 Driver, Kathy A.
15 Kim, Yong Chan
15 Maharana, Sudhananda
15 Obradović, Milutin
15 Qian, Tao
15 Sakar, Fethiye Müge
15 Tuneski, Nikola
15 Wang, Zhigang
15 Wirths, Karl-Joachim
14 Allu, Vasudevarao
14 Bshouty, Daoud H.
14 Contreras, Manuel D.
14 Ebadian, Ali
14 Eker, Sevtap Sümer
14 Graham, Ian R.
14 Khan, Nazar
14 Lou, Zengjian
14 Prajapat, Jugal Kishore
14 Zireh, Ahmad
13 Deniz, Erhan
13 Dorff, Michael John
13 Hamidi, Samaneh Gholizadeh
13 Kayumov, Il’giz Rifatovich
13 Kovalev, Leonid V.
13 Li, Shuhai
13 MacGregor, Thomas H.
13 Osgood, Brad G.
13 Ransford, Thomas J.
13 Seco, Daniel
13 Şeker, Bilal
13 Stević, Stevo
13 Zhu, Jianfeng
12 Abdulhadi, Zayid
12 Bao, Guanlong
12 Bhowmik, Bappaditya
...and 3,216 more Authors
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Cited in 469 Serials

338 Journal of Mathematical Analysis and Applications
137 Journal of Functional Analysis
133 Proceedings of the American Mathematical Society
113 Complex Analysis and Operator Theory
112 Computational Methods and Function Theory
79 Journal d’Analyse Mathématique
67 Complex Variables and Elliptic Equations
66 Integral Equations and Operator Theory
60 Transactions of the American Mathematical Society
56 The Journal of Geometric Analysis
56 Analysis and Mathematical Physics
52 Applied Mathematics and Computation
52 Mathematische Zeitschrift
52 Monatshefte für Mathematik
47 Advances in Mathematics
47 Journal of Approximation Theory
45 Rocky Mountain Journal of Mathematics
45 Journal of Inequalities and Applications
43 Journal of Function Spaces
42 Journal of Mathematical Sciences (New York)
42 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
41 Turkish Journal of Mathematics
40 Afrika Matematika
38 Mediterranean Journal of Mathematics
37 Filomat
37 Abstract and Applied Analysis
35 Journal of Computational and Applied Mathematics
35 Results in Mathematics
34 Ukrainian Mathematical Journal
34 Archiv der Mathematik
29 Israel Journal of Mathematics
28 AIMS Mathematics
26 Mathematical Notes
26 Journal of Soviet Mathematics
26 Mathematische Annalen
26 Bulletin des Sciences Mathématiques
26 Asian-European Journal of Mathematics
25 Arkiv för Matematik
25 International Journal of Mathematics and Mathematical Sciences
24 Computers & Mathematics with Applications
23 Bulletin of the Australian Mathematical Society
23 The Journal of Analysis
22 Indagationes Mathematicae. New Series
21 Mathematische Nachrichten
21 Comptes Rendus. Mathématique. Académie des Sciences, Paris
21 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
20 Constructive Approximation
20 Sahand Communications in Mathematical Analysis
19 Applied Mathematics Letters
19 Acta Mathematica Scientia. Series B. (English Edition)
18 Canadian Mathematical Bulletin
18 Linear Algebra and its Applications
18 Potential Analysis
18 Acta Mathematica Sinica. English Series
18 Banach Journal of Mathematical Analysis
17 Annales Academiae Scientiarum Fennicae. Mathematica
16 Archive for Rational Mechanics and Analysis
16 Bulletin of the London Mathematical Society
16 The Journal of Fourier Analysis and Applications
16 Communications of the Korean Mathematical Society
16 Palestine Journal of Mathematics
16 Journal of Classical Analysis
15 Boletín de la Sociedad Matemática Mexicana. Third Series
15 Journal of Mathematical Inequalities
14 Annales de l’Institut Fourier
14 Duke Mathematical Journal
14 Journal of the Egyptian Mathematical Society
14 Honam Mathematical Journal
14 Hacettepe Journal of Mathematics and Statistics
14 Acta Universitatis Sapientiae. Mathematica
14 Journal of Complex Analysis
14 Concrete Operators
13 Mathematical Methods in the Applied Sciences
13 Czechoslovak Mathematical Journal
13 Gaṇita
13 Journal of Differential Equations
13 Bulletin of the Korean Mathematical Society
13 Revista Matemática Iberoamericana
13 Boletim da Sociedade Paranaense de Matemática. Terceira Série
12 Analysis Mathematica
12 Communications in Mathematical Physics
12 Lithuanian Mathematical Journal
12 Annali di Matematica Pura ed Applicata. Serie Quarta
12 Automatica
12 Proceedings of the Edinburgh Mathematical Society. Series II
12 Proceedings of the Japan Academy. Series A
12 Rendiconti del Circolo Matemàtico di Palermo. Serie II
12 Systems & Control Letters
12 Tbilisi Mathematical Journal
11 The Mathematical Intelligencer
11 Inventiones Mathematicae
11 Historia Mathematica
11 Journal de Mathématiques Pures et Appliquées. Neuvième Série
11 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
11 Lobachevskii Journal of Mathematics
11 Science China. Mathematics
10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
10 Illinois Journal of Mathematics
10 Mathematica Slovaca
10 Siberian Mathematical Journal
...and 369 more Serials
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Cited in 58 Fields

3,004 Functions of a complex variable (30-XX)
871 Operator theory (47-XX)
651 Functional analysis (46-XX)
492 Potential theory (31-XX)
334 Several complex variables and analytic spaces (32-XX)
251 Harmonic analysis on Euclidean spaces (42-XX)
200 Special functions (33-XX)
195 Partial differential equations (35-XX)
118 Approximations and expansions (41-XX)
99 Real functions (26-XX)
89 Ordinary differential equations (34-XX)
76 Probability theory and stochastic processes (60-XX)
75 Dynamical systems and ergodic theory (37-XX)
72 Numerical analysis (65-XX)
63 Systems theory; control (93-XX)
60 Differential geometry (53-XX)
54 Number theory (11-XX)
52 History and biography (01-XX)
43 Quantum theory (81-XX)
42 Global analysis, analysis on manifolds (58-XX)
39 Combinatorics (05-XX)
38 Measure and integration (28-XX)
33 Linear and multilinear algebra; matrix theory (15-XX)
33 Integral equations (45-XX)
30 Abstract harmonic analysis (43-XX)
28 Fluid mechanics (76-XX)
27 Integral transforms, operational calculus (44-XX)
25 Information and communication theory, circuits (94-XX)
19 Statistics (62-XX)
17 Calculus of variations and optimal control; optimization (49-XX)
15 Statistical mechanics, structure of matter (82-XX)
12 Difference and functional equations (39-XX)
12 Sequences, series, summability (40-XX)
12 Mechanics of deformable solids (74-XX)
11 Topological groups, Lie groups (22-XX)
10 Geometry (51-XX)
10 Convex and discrete geometry (52-XX)
9 Optics, electromagnetic theory (78-XX)
8 General and overarching topics; collections (00-XX)
7 Nonassociative rings and algebras (17-XX)
7 Computer science (68-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Algebraic geometry (14-XX)
6 Group theory and generalizations (20-XX)
5 General topology (54-XX)
5 Manifolds and cell complexes (57-XX)
5 Relativity and gravitational theory (83-XX)
3 Associative rings and algebras (16-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 Geophysics (86-XX)
2 Operations research, mathematical programming (90-XX)
2 Biology and other natural sciences (92-XX)
1 \(K\)-theory (19-XX)
1 Mechanics of particles and systems (70-XX)
1 Mathematics education (97-XX)

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