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Duren, Peter Larkin

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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
Documents Indexed: 135 Publications since 1961, including 13 Books
Reviewing Activity: 16 Reviews
Biographic References: 1 Publication
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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 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
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 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
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 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

109 Publications have been cited 2,870 times in 2,333 Documents Cited by Year
Theory of \(H^ p\) spaces. Zbl 0215.20203
Duren, P. L.
1970
Univalent functions. Zbl 0514.30001
Duren, Peter L.
342
1983
Harmonic mappings in the plane. Zbl 1055.31001
Duren, Peter
254
2004
Bergman spaces. Zbl 1059.30001
Duren, Peter; Schuster, Alexander
134
2004
Linear functionals on \(H^ p\) spaces with \(0 < p < 1\). Zbl 0176.43102
Duren, P. L.; Romberg, B. W.; Shields, A. L.
102
1969
Successive coefficients of univalent functions. Zbl 0398.30010
Duren, P. L.
58
1979
Estension of a theorem of Carleson. Zbl 0184.30503
Duren, P. L.
54
1969
Singular measures and domains not of Smirnov type. Zbl 0174.37501
Duren, P. L.; Shapiro, H. S.; Shields, A. L.
49
1966
Contractive zero-divisors in Bergman spaces. Zbl 0739.30029
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl
42
1993
Coefficient estimates for univalent functions. Zbl 0119.29303
Duren, P. L.
34
1962
Solutions for the generalized Loewner differential equation in several complex variables. Zbl 1196.32014
Duren, Peter; Graham, Ian; Hamada, Hidetaka; Kohr, Gabriela
33
2010
The Schwarzian derivative for harmonic mappings. Zbl 1054.31003
Chuaqui, Martin; Duren, Peter; Osgood, Brad
31
2003
Invariant subspaces in Bergman spaces and the biharmonic equation. Zbl 0833.46044
Duren, P.; Khavinson, D.; Shapiro, H. S.; Sundberg, C.
29
1994
Curvature properties of planar harmonic mappings. Zbl 1051.30025
Chuaqui, Martin; Duren, Peter; Osgood, Brad O.
26
2004
The argument principle for harmonic functions. Zbl 0863.31001
Duren, Peter; Hengartner, Walter; Laugesen, Richard S.
23
1996
Zeros of the hypergeometric polynomials \(F(-n,b;2b;z)\). Zbl 0969.33003
Driver, Kathy; Duren, Peter
23
2000
A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces. Zbl 1196.30046
Duren, Peter; Gallardo-Gutiérrez, Eva A.; Montes-Rodríguez, Alfonso
23
2007
Coefficient multipliers of \(H^ p\) and \(B^ p\) spaces. Zbl 0187.37701
Duren, P. L.; Shields, A. L.
19
1970
The theory of the second variation in extremum problems for univalent functions. Zbl 0112.30302
Duren, P. L.; Schiffer, M.
18
1963
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.
17
2007
Harmonic mappings of multiply connected domains. Zbl 0885.30020
Duren, Peter; Hengartner, Walter
16
1997
Logarithmic coefficients of univalent functions. Zbl 0436.30011
Duren, P. L.; Leung, Y. L.
15
1979
Extremal functions in invariant subspaces of Bergman spaces. Zbl 0853.30023
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.
14
1996
Invitation to classical analysis. Zbl 1244.00003
Duren, Peter
14
2012
Multiplicative isometries and isometric zero-divisors. Zbl 1210.30018
Aleman, Alexandru; Duren, Peter; Martín, María J.; Vukotić, Dragan
13
2010
Coefficients of univalent functions. Zbl 0372.30012
Duren, Peter L.
12
1977
Linear extremal problems for harmonic mappings of the disk. Zbl 0693.30018
Duren, Peter; Schober, Glenn
11
1989
Zeros of ultraspherical polynomials and the Hilbert-Klein formulas. Zbl 0993.33008
Driver, Kathy; Duren, Peter
11
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
Asymptotic properties of zeros of hypergeometric polynomials. Zbl 0983.33008
Duren, Peter L.; Guillou, Bertrand J.
11
2001
Properties of \(H^{p}\) (\(0<p<1\)) and its containing Banach space. Zbl 0181.40401
Duren, P. L.; Shields, A. L.
11
1969
Coefficients of meromorphic schlicht functions. Zbl 0214.08701
Duren, P. L.
11
1971
The pseudohyperbolic metric and Bergman spaces in the ball. Zbl 1109.32003
Duren, Peter; Weir, Rachel
11
2007
Ellipses, near ellipses, and harmonic Möbius transformations. Zbl 1068.30018
Chuaqui, Martin; Duren, Peter; Osgood, Brad
11
2005
Physical interpretation and further properties of Robin capacity. Zbl 0896.30020
Duren, P.; Pfaltzgraff, J.; Thurman, E.
10
1997
Robin capacity and extremal length. Zbl 0797.31009
Duren, Peter; Pfaltzgraff, John
10
1993
Robin functions and energy functionals of multiply connected domains. Zbl 0682.30015
Duren, P. L.; Schiffer, M. M.
10
1991
A variational method for harmonic mappings onto convex regions. Zbl 0606.30025
Duren, Peter; Schober, Glenn
10
1987
Schwarzian derivative criteria for valence of analytic and harmonic mappings. Zbl 1134.30315
Chuaqui, Martin; Duren, Peter; Osgood, Brad
10
2007
Robin functions and distortion of capacity under conformal mapping. Zbl 0793.30018
Duren, Peter; Schiffer, M. M.
9
1993
On the multipliers of \(H^ p\) spaces. Zbl 0175.42701
Duren, P. L.
9
1969
Asymptotic zero distribution of hypergeometric polynomials. Zbl 0935.33004
Driver, Kathy; Duren, Peter
8
1999
Boundary correspondence and dilatation of harmonic mappings. Zbl 0892.30022
Duren, Peter; Khavinson, Dmitry
8
1997
Elliptic capacity and its distortion under conformal mapping. Zbl 1026.30023
Duren, Peter; Kühnau, Reiner
8
2003
On uniformly discrete sequences in the disk. Zbl 1082.30041
Duren, Peter; Schuster, Alexander; Vukotić, Dragan
8
2005
An arclength problem for close-to-convex functions. Zbl 0136.38001
Clunie, J.; Duren, P. L.
8
1966
Two-point distortion theorems for harmonic and pluriharmonic mappings. Zbl 1232.32007
Duren, Peter; Hamada, Hidetaka; Kohr, Gabriela
8
2011
Harmonic shears of regular polygons by hypergeometric functions. Zbl 0937.30006
Driver, Kathy; Duren, Peter
7
1999
Schwarzian norms and two-point distortion. Zbl 1253.30031
Chuaqui, Martin; Duren, Peter; Ma, William; Mejía, Diego; Minda, David; Osgood, Brad
7
2011
Distortion in certain conformal mappings of an annulus. Zbl 0116.05801
Duren, P. L.
7
1963
Distortion in several variables. Zbl 0559.32004
Duren, Peter; Rudin, Walter
7
1986
Oscillation of solutions of linear differential equations. Zbl 1182.34046
Chuaqui, Martin; Duren, Peter; Osgood, Brad; Stowe, Dennis
7
2009
Schwarzian derivatives and uniform local univalence. Zbl 1156.30019
Chuaqui, Martin; Duren, Peter; Osgood, Brad
7
2008
Injectivity criteria for holomorphic curves in \(\mathbb{C}^n\). Zbl 1252.30003
Chuaqui, M.; Duren, P.; Osgood, B.
7
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
Zeros of hypergeometric functions. Zbl 1009.33004
Boggs, Kathryn; Duren, Peter
6
2001
Nonvanishing univalent functions. II. Zbl 0572.30020
Duren, P.; Schober, G.
6
1982
Harmonic mappings related to Scherk’s saddle-tower minimal surfaces. Zbl 0982.53008
Duren, Peter; Thygerson, William R.
6
2000
Mean growth and coefficients of \(H^ p\) functions. Zbl 0194.38202
Duren, P. L.; Taylor, G. D.
6
1970
An arclength problem for close-to-convex functions. Zbl 0136.37904
Duren, P. L.
6
1964
Polynomials orthogonal over a curve. Zbl 0132.05801
Duren, P. L.
5
1965
An inequality for complete elliptic integrals. Zbl 0816.33011
Anderson, G. D.; Duren, Peter; Vamanamurthy, M. K.
5
1994
Restrictions of \(H^p\) functions to the diagonal of the polydisc. Zbl 0331.32002
Duren, P. L.; Shields, A. L.
5
1975
Extension of a result of Beurling on invariant subspaces. Zbl 0121.09301
Duren, P. L.
5
1961
Inequalities for logarithmic coefficients of univalent functions and their derivatives. Zbl 0642.30017
Andreev, V. V.; Duren, P. L.
5
1988
Multiplication invariant subspaces of the Bergman space. Zbl 1071.30033
Carswell, Brent J.; Duren, Peter L.; Stessin, Michael I.
5
2002
Schwarzian derivatives and homeomorphic extensions. Zbl 0204.09201
Duren, P. L.; Lehto, O.
5
1970
A century of mathematics in America. Part I. Ed. with the assistance of Richard A. Askey and Uta C. Merzbach. Zbl 0656.00001
Duren, Peter (ed.); Merzbach, Uta C. (ed.)
4
1988
Univalent functions which map onto regions of given transfinite diameter. Zbl 0724.30018
Duren, P. L.; Schiffer, M. M.
4
1991
Finite unions of interpolation sequences. Zbl 0994.30032
Duren, Peter; Schuster, Alexander P.
4
2002
Uniform densities of regular sequences in the unit disk. Zbl 0948.30054
Duren, Peter L.; Schuster, Alexander P.; Seip, Kristian
4
2000
Nonvanishing univalent functions. Zbl 0411.30010
Duren, Peter; Schober, Glenn
4
1980
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
Golden years of Moscow mathematics. 2nd ed. Zbl 1137.01018
Zdravkovska, Smilka (ed.); Duren, Peter L. (ed.)
4
2007
Schwarzian derivatives of convex mappings. Zbl 1239.30003
Chuaqui, Martin; Duren, Peter; Osgood, Brad
4
2011
A century of mathematics in America. Part II. Ed. with the assistance of Richard A. Askey and Uta C. Merzbach. Zbl 0659.00007
Duren, Peter (ed.)
3
1989
A decomposition theorem for planar harmonic mappings. Zbl 0841.30019
Duren, Peter; Hengartner, Walter
3
1996
Applications of the Garabedian-Schiffer inequality. Zbl 0334.30008
Duren, Peter L.
3
1976
Subordination. Zbl 0372.30013
Duren, Peter
3
1977
Two-point distortion theorems for harmonic mappings. Zbl 1207.30035
Chuaqui, Martin; Duren, Peter; Osgood, Brad
3
2009
Quasiconformal extensions to space of Weierstrass-Enneper lifts. Zbl 1410.30005
Chuaqui, M.; Duren, P.; Osgood, B.
3
2018
On the Bloch-Nevanlinna conjecture. Zbl 0187.02601
Duren, P. L.
3
1969
Harmonic mappings onto stars. Zbl 1112.31001
Duren, Peter; McDougall, Jane; Schaubroeck, Lisbeth
3
2005
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
Random series and bounded mean oscillation. Zbl 0565.30001
Duren, Peter
2
1985
Generalized support points of the set of univalent functions. Zbl 0602.30022
Duren, Peter; Leung, Y. J.
2
1986
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
Concave conformal mappings and pre-vertices of Schwarz-Christoffel mappings. Zbl 1283.30048
Chuaqui, M.; Duren, P.; Osgood, B.
2
2012
Estimation of coefficients of univalent functions by a Tauberian remainder theorem. Zbl 0296.30010
Duren, Peter L.
2
1974
Asymptotic behavior of coefficients of univalent functions. Zbl 0324.30025
Duren, Peter L.
2
1976
Smoothness of functions generated by Riesz products. Zbl 0136.04006
Duren, P. L.
2
1965
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
Duren, Peter (ed.)
1
1989
Extremal problems for univalent functions. Zbl 0492.30013
Duren, Peter L.
1
1980
Support points with maximum radial angle. Zbl 0512.30012
Duren, P. L.; Leung, Y. L.; Schiffer, M. M.
1
1983
Golden years of Moscow mathematics. Zbl 0793.01001
Zdravkovska, Smilka (ed.); Duren, Peter L. (ed.)
1
1993
Quasiconformal extensions to space of Weierstrass-Enneper lifts. Zbl 1410.30005
Chuaqui, M.; Duren, P.; Osgood, B.
3
2018
Invitation to classical analysis. Zbl 1244.00003
Duren, Peter
14
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
8
2011
Schwarzian norms and two-point distortion. Zbl 1253.30031
Chuaqui, Martin; Duren, Peter; Ma, William; Mejía, Diego; Minda, David; Osgood, Brad
7
2011
Injectivity criteria for holomorphic curves in \(\mathbb{C}^n\). Zbl 1252.30003
Chuaqui, M.; Duren, P.; Osgood, B.
7
2011
Schwarzian derivatives of convex mappings. Zbl 1239.30003
Chuaqui, Martin; Duren, Peter; Osgood, Brad
4
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
33
2010
Multiplicative isometries and isometric zero-divisors. Zbl 1210.30018
Aleman, Alexandru; Duren, Peter; Martín, María J.; Vukotić, Dragan
13
2010
Oscillation of solutions of linear differential equations. Zbl 1182.34046
Chuaqui, Martin; Duren, Peter; Osgood, Brad; Stowe, Dennis
7
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
7
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
23
2007
Univalence criteria for lifts of harmonic mappings to minimal surfaces. Zbl 1211.30011
Chuaqui, M.; Duren, P.; Osgood, B.
17
2007
The pseudohyperbolic metric and Bergman spaces in the ball. Zbl 1109.32003
Duren, Peter; Weir, Rachel
11
2007
Schwarzian derivative criteria for valence of analytic and harmonic mappings. Zbl 1134.30315
Chuaqui, Martin; Duren, Peter; Osgood, Brad
10
2007
Golden years of Moscow mathematics. 2nd ed. Zbl 1137.01018
Zdravkovska, Smilka; Duren, Peter L.
4
2007
Ellipses, near ellipses, and harmonic Möbius transformations. Zbl 1068.30018
Chuaqui, Martin; Duren, Peter; Osgood, Brad
11
2005
On uniformly discrete sequences in the disk. Zbl 1082.30041
Duren, Peter; Schuster, Alexander; Vukotić, Dragan
8
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
254
2004
Bergman spaces. Zbl 1059.30001
Duren, Peter; Schuster, Alexander
134
2004
Curvature properties of planar harmonic mappings. Zbl 1051.30025
Chuaqui, Martin; Duren, Peter; Osgood, Brad O.
26
2004
The Schwarzian derivative for harmonic mappings. Zbl 1054.31003
Chuaqui, Martin; Duren, Peter; Osgood, Brad
31
2003
Elliptic capacity and its distortion under conformal mapping. Zbl 1026.30023
Duren, Peter; Kühnau, Reiner
8
2003
Multiplication invariant subspaces of the Bergman space. Zbl 1071.30033
Carswell, Brent J.; Duren, Peter L.; Stessin, Michael I.
5
2002
Finite unions of interpolation sequences. Zbl 0994.30032
Duren, Peter; Schuster, Alexander P.
4
2002
Zeros of ultraspherical polynomials and the Hilbert-Klein formulas. Zbl 0993.33008
Driver, Kathy; Duren, Peter
11
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
Asymptotic properties of zeros of hypergeometric polynomials. Zbl 0983.33008
Duren, Peter L.; Guillou, Bertrand J.
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.
6
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
8
1999
Harmonic shears of regular polygons by hypergeometric functions. Zbl 0937.30006
Driver, Kathy; Duren, Peter
7
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
Harmonic mappings of multiply connected domains. Zbl 0885.30020
Duren, Peter; Hengartner, Walter
16
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.
23
1996
Extremal functions in invariant subspaces of Bergman spaces. Zbl 0853.30023
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.
14
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.
29
1994
An inequality for complete elliptic integrals. Zbl 0816.33011
Anderson, G. D.; Duren, Peter; Vamanamurthy, M. K.
5
1994
Contractive zero-divisors in Bergman spaces. Zbl 0739.30029
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl
42
1993
Robin capacity and extremal length. Zbl 0797.31009
Duren, Peter; Pfaltzgraff, John
10
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
Zdravkovska, Smilka; Duren, Peter L.
1
1993
Robin functions and energy functionals of multiply connected domains. Zbl 0682.30015
Duren, P. L.; Schiffer, M. M.
10
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
Duren, Peter
3
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
Duren, Peter
1
1989
Inequalities for logarithmic coefficients of univalent functions and their derivatives. Zbl 0642.30017
Andreev, V. V.; Duren, P. L.
5
1988
A century of mathematics in America. Part I. Ed. with the assistance of Richard A. Askey and Uta C. Merzbach. Zbl 0656.00001
Duren, Peter; Merzbach, Uta C.
4
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
7
1986
Generalized support points of the set of univalent functions. Zbl 0602.30022
Duren, Peter; Leung, Y. J.
2
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
Baernstein, Albert II; Drasin, David; Duren, Peter; Marden, Albert
1
1986
Regions of variability for univalent functions. Zbl 0598.30028
Duren, Peter; Ünal, Ayşenur
1
1986
Random series and bounded mean oscillation. Zbl 0565.30001
Duren, Peter
2
1985
Univalent functions. Zbl 0514.30001
Duren, Peter L.
342
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.
6
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
4
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.
58
1979
Logarithmic coefficients of univalent functions. Zbl 0436.30011
Duren, P. L.; Leung, Y. L.
15
1979
Extreme points of spaces of univalent functions. Zbl 0377.30015
Duren, Peter L.
1
1978
Coefficients of univalent functions. Zbl 0372.30012
Duren, Peter L.
12
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.
11
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.
19
1970
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.
5
1970
Linear functionals on \(H^ p\) spaces with \(0 < p < 1\). Zbl 0176.43102
Duren, P. L.; Romberg, B. W.; Shields, A. L.
102
1969
Estension of a theorem of Carleson. Zbl 0184.30503
Duren, P. L.
54
1969
Properties of \(H^{p}\) (\(0<p<1\)) and its containing Banach space. Zbl 0181.40401
Duren, P. L.; Shields, A. L.
11
1969
On the multipliers of \(H^ p\) spaces. Zbl 0175.42701
Duren, P. L.
9
1969
On the Bloch-Nevanlinna conjecture. Zbl 0187.02601
Duren, P. L.
3
1969
Singular measures and domains not of Smirnov type. Zbl 0174.37501
Duren, P. L.; Shapiro, H. S.; Shields, A. L.
49
1966
An arclength problem for close-to-convex functions. Zbl 0136.38001
Clunie, J.; Duren, P. L.
8
1966
...and 9 more Documents
all top 5

Cited by 2,062 Authors

83 Ponnusamy, Saminathan
36 Duren, Peter Larkin
29 Kohr, Gabriela
27 Girela, Daniel
27 Hamada, Hidetaka
27 Peláez, José Ángel
27 Srivastava, Hari Mohan
26 Rättyä, Jouni
23 Chen, Shaolin
23 Wang, Xiantao
20 Chuaqui, Martin
20 Kalaj, David
20 Khavinson, Dmitry S.
18 Iwaniec, Tadeusz
17 Colonna, Flavia
17 Onninen, Jani
17 Rasila, Antti
16 Aleman, Alexandru
16 Martín, María J.
16 Sugawa, Toshiyuki
15 Blasco, Oscar
15 Driver, Kathy A.
14 Abu-Muhanna, Yusuf
14 Gallardo-Gutiérrez, Eva Antonia
14 Owa, Shigeyoshi
14 Partington, Jonathan R.
14 Vukotić, Dragan
13 Graham, Ian R.
13 Jahangiri, Jay M.
13 Leblond, Juliette
13 Li, Songxiao
13 Osgood, Brad G.
12 Ali, Rosihan Mohamed
12 Hernández, Rodrigo
12 MacGregor, Thomas H.
11 Abdulhadi, Zayid
11 Pavlović, Miroslav
11 Porwal, Saurabh
11 Shapiro, Joel H.
11 Wirths, Karl-Joachim
11 Wulan, Hasi
10 Dubinin, Vladimir N.
10 Kim, Yong Chan
10 Ross, William T. jun.
10 Stević, Stevo
9 Betsakos, Dimitrios
9 Bourdon, Paul S.
9 Brevig, Ole Fredrik
9 Bshouty, Daoud H.
9 Gröhn, Janne
9 Heittokangas, Janne
9 Kayumov, Il’giz Rifatovich
9 Mashreghi, Javad
9 Rodríguez-Piazza, Luis
9 Sahoo, Swadesh Kumar
9 Vasudevarao, Allu
9 Wang, Zhigang
8 Bao, Guanlong
8 Baratchart, Laurent
8 Bénéteau, Catherine
8 Chen, Xingdi
8 Dong, Xinhan
8 Dorff, Michael John
8 Ferguson, Timothy
8 Hamidi, Samaneh Gholizadeh
8 Iancu, Mihai
8 Kaliraj, Anbareeswaran Sairam
8 Kovalev, Leonid V.
8 Lefèvre, Pascal
8 Li, Daniel
8 Pau, Jordi
8 Queffélec, Hervé
8 Seco, Daniel
8 Vamshee Krishna, Deekonda
8 Zhu, Kehe
7 Akeroyd, John R.
7 Aydogan, Melike
7 Bulut, Serap
7 Câmara, Maria Cristina
7 Chen, Jiaolong
7 Cima, Joseph A.
7 Contreras, Manuel D.
7 Fritzsche, Bernd
7 Hartmann, Andreas
7 Jevtić, Miroljub
7 Kirstein, Bernd
7 Liu, Yongmin
7 Liu, Zhihong
7 Lou, Zengjian
7 Mishra, Akshaya Kumar
7 Nowak, Maria T.
7 Pérez-González, Fernando
7 Pommerenke, Christian
7 Qian, Tao
7 Richter, Stefan
7 Schiffer, Menahem Max
7 Schippers, Eric D.
7 Shamoyan, Faĭzo Agitovich
7 Solynin, Alexander Yu.
7 Vuorinen, Matti Keijo Kustaa
...and 1,962 more Authors
all top 5

Cited in 308 Serials

255 Journal of Mathematical Analysis and Applications
106 Journal of Functional Analysis
100 Proceedings of the American Mathematical Society
79 Computational Methods and Function Theory
68 Journal d’Analyse Mathématique
65 Complex Analysis and Operator Theory
55 Transactions of the American Mathematical Society
51 Integral Equations and Operator Theory
41 Mathematische Zeitschrift
40 Journal of Approximation Theory
34 Advances in Mathematics
34 Applied Mathematics and Computation
33 Rocky Mountain Journal of Mathematics
33 Journal of Mathematical Sciences (New York)
32 Monatshefte für Mathematik
31 Archiv der Mathematik
30 Journal of Computational and Applied Mathematics
28 Abstract and Applied Analysis
26 Journal of Soviet Mathematics
26 Complex Variables and Elliptic Equations
24 Israel Journal of Mathematics
23 The Journal of Geometric Analysis
22 Arkiv för Matematik
19 Mathematical Notes
19 Mathematische Annalen
18 Computers & Mathematics with Applications
18 Constructive Approximation
18 Comptes Rendus. Mathématique. Académie des Sciences, Paris
17 International Journal of Mathematics and Mathematical Sciences
17 Analysis and Mathematical Physics
16 Ukrainian Mathematical Journal
16 Results in Mathematics
16 Indagationes Mathematicae. New Series
16 Bulletin des Sciences Mathématiques
15 Journal of Inequalities and Applications
14 Duke Mathematical Journal
13 Archive for Rational Mechanics and Analysis
13 Bulletin of the Australian Mathematical Society
13 Linear Algebra and its Applications
12 Journal of Differential Equations
12 Proceedings of the Japan Academy. Series A
12 Systems & Control Letters
12 The Journal of Fourier Analysis and Applications
12 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
12 Mediterranean Journal of Mathematics
12 Journal of Function Spaces
11 Annales de l’Institut Fourier
11 Mathematische Nachrichten
11 Acta Mathematica Sinica. English Series
10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
10 Siberian Mathematical Journal
10 The Journal of Analysis
10 Science China. Mathematics
9 Communications in Mathematical Physics
9 Lithuanian Mathematical Journal
9 Acta Mathematica
9 Applied Mathematics Letters
9 Integral Transforms and Special Functions
8 Illinois Journal of Mathematics
8 Inventiones Mathematicae
8 Manuscripta Mathematica
8 Tohoku Mathematical Journal. Second Series
8 Zeitschrift für Analysis und ihre Anwendungen
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Russian Mathematics
8 Journal of Complex Analysis
7 The Mathematical Intelligencer
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Canadian Mathematical Bulletin
7 Kodai Mathematical Journal
7 Revista Matemática Iberoamericana
7 Science in China. Series A
7 Potential Analysis
7 Journal of the Egyptian Mathematical Society
7 Annales Academiae Scientiarum Fennicae. Mathematica
7 Journal of the Australian Mathematical Society
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
7 Afrika Matematika
7 Problemy Analiza. Issues of Analysis
6 International Journal of Control
6 Journal of Mathematical Physics
6 Automatica
6 Bulletin de la Société Mathématique de France
6 Collectanea Mathematica
6 Numerische Mathematik
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Journal of the American Mathematical Society
6 Turkish Journal of Mathematics
6 Conformal Geometry and Dynamics
6 Lobachevskii Journal of Mathematics
6 Journal of Nonlinear Science and Applications
5 Analysis Mathematica
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Czechoslovak Mathematical Journal
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Advances in Applied Mathematics
5 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
5 Calculus of Variations and Partial Differential Equations
5 Applied and Computational Harmonic Analysis
...and 208 more Serials
all top 5

Cited in 56 Fields

1,467 Functions of a complex variable (30-XX)
498 Operator theory (47-XX)
422 Functional analysis (46-XX)
324 Potential theory (31-XX)
198 Several complex variables and analytic spaces (32-XX)
146 Harmonic analysis on Euclidean spaces (42-XX)
127 Partial differential equations (35-XX)
94 Special functions (33-XX)
79 Approximations and expansions (41-XX)
71 Ordinary differential equations (34-XX)
49 Real functions (26-XX)
49 Systems theory; control (93-XX)
47 Numerical analysis (65-XX)
44 Differential geometry (53-XX)
38 Probability theory and stochastic processes (60-XX)
36 Dynamical systems and ergodic theory (37-XX)
27 Quantum theory (81-XX)
26 Measure and integration (28-XX)
26 Global analysis, analysis on manifolds (58-XX)
23 Abstract harmonic analysis (43-XX)
21 History and biography (01-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
18 Combinatorics (05-XX)
18 Number theory (11-XX)
18 Integral equations (45-XX)
18 Fluid mechanics (76-XX)
17 Integral transforms, operational calculus (44-XX)
16 Information and communication theory, circuits (94-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
11 Statistics (62-XX)
7 Topological groups, Lie groups (22-XX)
7 Mechanics of deformable solids (74-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Nonassociative rings and algebras (17-XX)
6 Computer science (68-XX)
6 Optics, electromagnetic theory (78-XX)
5 Convex and discrete geometry (52-XX)
4 Group theory and generalizations (20-XX)
4 Difference and functional equations (39-XX)
4 Sequences, series, summability (40-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 General and overarching topics; collections (00-XX)
3 Algebraic geometry (14-XX)
3 Geometry (51-XX)
3 Manifolds and cell complexes (57-XX)
3 Astronomy and astrophysics (85-XX)
2 Field theory and polynomials (12-XX)
2 Associative rings and algebras (16-XX)
2 Algebraic topology (55-XX)
2 Relativity and gravitational theory (83-XX)
1 Mathematical logic and foundations (03-XX)
1 \(K\)-theory (19-XX)
1 Mechanics of particles and systems (70-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)
1 Mathematics education (97-XX)

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