## Duren, Peter Larkin

Compute Distance To:
 Author ID: duren.peter-l Published as: Duren, Peter; Duren, P. L.; Duren, Peter L.; Duren, P. more...less Homepage: http://www.math.lsa.umich.edu/~duren/ External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 126 Publications since 1961, including 5 Books 11 Contributions as Editor · 1 Further Contribution Reviewing Activity: 16 Reviews Biographic References: 2 Publications Co-Authors: 61 Co-Authors with 96 Joint Publications 933 Co-Co-Authors
all top 5

### Co-Authors

 40 single-authored 17 Osgood, Brad G. 15 Chuaqui, Martin 13 Schiffer, Menahem Max 8 Khavinson, Dmitry S. 7 Shapiro, Harold Seymour 6 Schober, Glenn Edward 6 Shields, Allen L. 5 Driver, Kathy A. 4 Schuster, Alexander P. 3 Askey, Richard Allen 3 Hengartner, Walter 3 Leung, Y. L. 3 Merzbach, Uta C. 3 Pfaltzgraff, John A. 3 Sundberg, Carl-Erik W. 2 Gallagher, Anne-Katrin 2 Hamada, Hidetaka 2 Kohr, Gabriela 2 Leung, Yuk J. 2 Vukotić, Dragan 2 Zalcman, Lawrence Allen 2 Zdravkovska, Smilka 1 Ahlfors, Lars Valerian 1 Aleman, Alexandru 1 Anderson, Glen Douglas 1 Andreev, Valentin V. 1 Baernstein, Albert II 1 Boggs, Kathryn 1 Brickman, Louis 1 Carbery, Anthony 1 Carswell, Brent J. 1 Clunie, James Gourlay 1 Drasin, David 1 Edwards, Harold Mortimer jun. 1 Gallardo-Gutiérrez, Eva Antonia 1 Gehring, Frederick William 1 Graham, Ian R. 1 Guillou, Bertrand J. 1 Heinonen, Juha 1 Kühnau, Reiner 1 Laugesen, Richard Snyder 1 Lehto, Olli E. 1 Ma, William 1 Marden, Albert 1 Martín, María J. 1 McDougall, Jane M. 1 McLaughlin, Renate 1 Mejía, Diego Alejandro 1 Milin, I. M. 1 Minda, David 1 Montes-Rodríguez, Alfonso 1 Palka, Bruce P. 1 Romberg, B. W. 1 Rudin, Walter 1 Schaubroeck, Lisbeth E. 1 Seip, Kristian 1 Siskakis, Aristomenis G. 1 Stessin, Michael I. 1 Stowe, Dennis C. 1 Thurman, E. 1 Thygerson, William R. 1 Ünal, Ayşenur 1 Vamanamurthy, Mavina Krishna 1 Weir, Rachel J. 1 Williams, David L.
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 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
all top 5

### Fields

 90 Functions of a complex variable (30-XX) 20 Potential theory (31-XX) 17 History and biography (01-XX) 13 Functional analysis (46-XX) 11 Special functions (33-XX) 8 Several complex variables and analytic spaces (32-XX) 7 General and overarching topics; collections (00-XX) 6 Differential geometry (53-XX) 4 Ordinary differential equations (34-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Approximations and expansions (41-XX) 3 Operator theory (47-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Number theory (11-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX)

### Citations contained in zbMATH Open

115 Publications have been cited 3,325 times in 2,697 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
2004
Bergman spaces. Zbl 1059.30001
Duren, Peter; Schuster, Alexander
2004
Linear functionals on $$H^ p$$ spaces with $$0 < p < 1$$. Zbl 0176.43102
Duren, P. L.; Romberg, B. W.; Shields, A. L.
1969
Estension of a theorem of Carleson. Zbl 0184.30503
Duren, P. L.
1969
Successive coefficients of univalent functions. Zbl 0398.30010
Duren, P. L.
1979
Singular measures and domains not of Smirnov type. Zbl 0174.37501
Duren, P. L.; Shapiro, H. S.; Shields, A. L.
1966
Contractive zero-divisors in Bergman spaces. Zbl 0739.30029
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl
1993
The Schwarzian derivative for harmonic mappings. Zbl 1054.31003
Chuaqui, Martin; Duren, Peter; Osgood, Brad
2003
Solutions for the generalized Loewner differential equation in several complex variables. Zbl 1196.32014
Duren, Peter; Graham, Ian; Hamada, Hidetaka; Kohr, Gabriela
2010
Coefficient estimates for univalent functions. Zbl 0119.29303
Duren, P. L.
1962
Curvature properties of planar harmonic mappings. Zbl 1051.30025
Chuaqui, Martin; Duren, Peter; Osgood, Brad O.
2004
The argument principle for harmonic functions. Zbl 0863.31001
Duren, Peter; Hengartner, Walter; Laugesen, Richard S.
1996
Invariant subspaces in Bergman spaces and the biharmonic equation. Zbl 0833.46044
Duren, P.; Khavinson, D.; Shapiro, H. S.; Sundberg, C.
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
2007
Zeros of the hypergeometric polynomials $$F(-n,b;2b;z)$$. Zbl 0969.33003
Driver, Kathy; Duren, Peter
2000
Coefficient multipliers of $$H^ p$$ and $$B^ p$$ spaces. Zbl 0187.37701
Duren, P. L.; Shields, A. L.
1970
The pseudohyperbolic metric and Bergman spaces in the ball. Zbl 1109.32003
Duren, Peter; Weir, Rachel
2007
Logarithmic coefficients of univalent functions. Zbl 0436.30011
Duren, P. L.; Leung, Y. L.
1979
A variational method for functions schlicht in an annulus. Zbl 0101.29705
Duren, P. L.; Schiffer, M.
1962
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.
1977
Invitation to classical analysis. Zbl 1244.00003
Duren, Peter
2012
Univalence criteria for lifts of harmonic mappings to minimal surfaces. Zbl 1211.30011
Chuaqui, M.; Duren, P.; Osgood, B.
2007
The theory of the second variation in extremum problems for univalent functions. Zbl 0112.30302
Duren, P. L.; Schiffer, M.
1963
Coefficients of meromorphic schlicht functions. Zbl 0214.08701
Duren, P. L.
1971
Multiplicative isometries and isometric zero-divisors. Zbl 1210.30018
Aleman, Alexandru; Duren, Peter; Martín, María J.; Vukotić, Dragan
2010
Harmonic mappings of multiply connected domains. Zbl 0885.30020
Duren, Peter; Hengartner, Walter
1997
Extremal functions in invariant subspaces of Bergman spaces. Zbl 0853.30023
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.
1996
Coefficients of univalent functions. Zbl 0372.30012
Duren, Peter L.
1977
Schwarzian derivative criteria for valence of analytic and harmonic mappings. Zbl 1134.30315
Chuaqui, Martin; Duren, Peter; Osgood, Brad
2007
Ellipses, near ellipses, and harmonic Möbius transformations. Zbl 1068.30018
Chuaqui, Martin; Duren, Peter; Osgood, Brad
2005
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.
2010
Trajectories of the zeros of hypergeometric polynomials $$F(-n, b; 2b; z)$$ for $$b< -\frac{1}{2}$$. Zbl 0987.33001
Driver, K.; Duren, P.
2001
Asymptotic properties of zeros of hypergeometric polynomials. Zbl 0983.33008
Duren, Peter L.; Guillou, Bertrand J.
2001
Zeros of ultraspherical polynomials and the Hilbert-Klein formulas. Zbl 0993.33008
Driver, Kathy; Duren, Peter
2001
Robin capacity and extremal length. Zbl 0797.31009
Duren, Peter; Pfaltzgraff, John
1993
On the multipliers of $$H^ p$$ spaces. Zbl 0175.42701
Duren, P. L.
1969
Properties of $$H^{p}$$ ($$0<p<1$$) and its containing Banach space. Zbl 0181.40401
Duren, P. L.; Shields, A. L.
1969
Linear extremal problems for harmonic mappings of the disk. Zbl 0693.30018
Duren, Peter; Schober, Glenn
1989
Two-point distortion theorems for harmonic and pluriharmonic mappings. Zbl 1232.32007
Duren, Peter; Hamada, Hidetaka; Kohr, Gabriela
2011
Physical interpretation and further properties of Robin capacity. Zbl 0896.30020
Duren, P.; Pfaltzgraff, J.; Thurman, E.
1997
A variational method for harmonic mappings onto convex regions. Zbl 0606.30025
Duren, Peter; Schober, Glenn
1987
Robin functions and energy functionals of multiply connected domains. Zbl 0682.30015
Duren, P. L.; Schiffer, M. M.
1991
Robin functions and distortion of capacity under conformal mapping. Zbl 0793.30018
Duren, Peter; Schiffer, M. M.
1993
Asymptotic zero distribution of hypergeometric polynomials. Zbl 0935.33004
Driver, Kathy; Duren, Peter
1999
Harmonic shears of regular polygons by hypergeometric functions. Zbl 0937.30006
Driver, Kathy; Duren, Peter
1999
Schwarzian derivatives and uniform local univalence. Zbl 1156.30019
Chuaqui, Martin; Duren, Peter; Osgood, Brad
2008
Boundary correspondence and dilatation of harmonic mappings. Zbl 0892.30022
Duren, Peter; Khavinson, Dmitry
1997
Injectivity criteria for holomorphic curves in $$\mathbb{C}^n$$. Zbl 1252.30003
Chuaqui, M.; Duren, P.; Osgood, B.
2011
Distortion in several variables. Zbl 0559.32004
Duren, Peter; Rudin, Walter
1986
On uniformly discrete sequences in the disk. Zbl 1082.30041
Duren, Peter; Schuster, Alexander; Vukotić, Dragan
2005
Elliptic capacity and its distortion under conformal mapping. Zbl 1026.30023
Duren, Peter; Kühnau, Reiner
2003
An arclength problem for close-to-convex functions. Zbl 0136.38001
Clunie, J.; Duren, P. L.
1966
Inequalities for logarithmic coefficients of univalent functions and their derivatives. Zbl 0642.30017
Andreev, V. V.; Duren, P. L.
1988
Schwarzian norms and two-point distortion. Zbl 1253.30031
Chuaqui, Martin; Duren, Peter; Ma, William; Mejía, Diego; Minda, David; Osgood, Brad
2011
Harmonic mappings related to Scherk’s saddle-tower minimal surfaces. Zbl 0982.53008
Duren, Peter; Thygerson, William R.
2000
Oscillation of solutions of linear differential equations. Zbl 1182.34046
Chuaqui, Martin; Duren, Peter; Osgood, Brad; Stowe, Dennis
2009
Distortion in certain conformal mappings of an annulus. Zbl 0116.05801
Duren, P. L.
1963
Nonvanishing univalent functions. II. Zbl 0572.30020
Duren, P.; Schober, G.
1982
Hyperbolic capacity and its distortion under conformal mapping. Zbl 0974.31001
Duren, Peter; Pfaltzgraff, John
1999
Robin capacity. Zbl 0939.30016
Duren, Peter
1999
Mean growth and coefficients of $$H^ p$$ functions. Zbl 0194.38202
Duren, P. L.; Taylor, G. D.
1970
An arclength problem for close-to-convex functions. Zbl 0136.37904
Duren, P. L.
1964
An inequality for complete elliptic integrals. Zbl 0816.33011
Anderson, G. D.; Duren, Peter; Vamanamurthy, M. K.
1994
Zeros of hypergeometric functions. Zbl 1009.33004
Boggs, Kathryn; Duren, Peter
2001
A century of mathematics in America. Part I. Ed. with the assistance of Richard A. Askey and Uta C. Merzbach. Zbl 0656.00001
1988
Restrictions of $$H^p$$ functions to the diagonal of the polydisc. Zbl 0331.32002
Duren, P. L.; Shields, A. L.
1975
Golden years of Moscow mathematics. 2nd ed. Zbl 1137.01018
2007
Schwarzian derivatives and homeomorphic extensions. Zbl 0204.09201
Duren, P. L.; Lehto, O.
1970
Finite unions of interpolation sequences. Zbl 0994.30032
Duren, Peter; Schuster, Alexander P.
2002
Multiplication invariant subspaces of the Bergman space. Zbl 1071.30033
Carswell, Brent J.; Duren, Peter L.; Stessin, Michael I.
2002
Extension of a result of Beurling on invariant subspaces. Zbl 0121.09301
Duren, P. L.
1961
Polynomials orthogonal over a curve. Zbl 0132.05801
Duren, P. L.
1965
Uniform densities of regular sequences in the unit disk. Zbl 0948.30054
Duren, Peter L.; Schuster, Alexander P.; Seip, Kristian
2000
Quasiconformal extensions to space of Weierstrass-Enneper lifts. Zbl 1410.30005
Chuaqui, M.; Duren, P.; Osgood, B.
2018
Nonvanishing univalent functions. Zbl 0411.30010
Duren, Peter; Schober, Glenn
1980
Interpolation problems in function spaces. Zbl 0227.46033
Duren, P. L.; Williams, D. L.
1972
Invariant subspaces of tridiagonal operators. Zbl 0119.11301
Duren, P. L.
1963
On the Bloch-Nevanlinna conjecture. Zbl 0187.02601
Duren, P. L.
1969
Schwarzian derivatives of convex mappings. Zbl 1239.30003
Chuaqui, Martin; Duren, Peter; Osgood, Brad
2011
Univalent functions which map onto regions of given transfinite diameter. Zbl 0724.30018
Duren, P. L.; Schiffer, M. M.
1991
Random series and bounded mean oscillation. Zbl 0565.30001
Duren, Peter
1985
A century of mathematics in America. Part II. Ed. with the assistance of Richard A. Askey and Uta C. Merzbach. Zbl 0659.00007
1989
Applications of the Garabedian-Schiffer inequality. Zbl 0334.30008
Duren, Peter L.
1976
Subordination. Zbl 0372.30013
Duren, Peter
1977
A decomposition theorem for planar harmonic mappings. Zbl 0841.30019
Duren, Peter; Hengartner, Walter
1996
Two-point distortion theorems for harmonic mappings. Zbl 1207.30035
Chuaqui, Martin; Duren, Peter; Osgood, Brad
2009
Harmonic mappings onto stars. Zbl 1112.31001
Duren, Peter; McDougall, Jane; Schaubroeck, Lisbeth
2005
Arcs omitted by support points of univalent functions. Zbl 0472.30022
Duren, Peter L.
1981
Estimation of coefficients of univalent functions by a Tauberian remainder theorem. Zbl 0296.30010
Duren, Peter L.
1974
Asymptotic behavior of coefficients of univalent functions. Zbl 0324.30025
Duren, Peter L.
1976
Menahem Max Schiffer. Selected papers. Volume 2. Edited by Peter Duren and Lawrence Zalcman. Zbl 1295.01020
Schiffer, Menahem Max
2014
Generalized support points of the set of univalent functions. Zbl 0602.30022
Duren, Peter; Leung, Y. J.
1986
The Legendre relation for elliptic integrals. Zbl 0787.33010
Duren, Peter
1991
Golden years of Moscow mathematics. Zbl 0793.01001
1993
Concave conformal mappings and pre-vertices of Schwarz-Christoffel mappings. Zbl 1283.30048
Chuaqui, M.; Duren, P.; Osgood, B.
2012
Two-slit mappings and the Marx conjecture. Zbl 0228.30007
Duren, Peter L.; McLaughlin, Renate
1972
Smirnov domains and conjugate functions. Zbl 0235.30038
Duren, Peter L.
1972
Smoothness of functions generated by Riesz products. Zbl 0136.04006
Duren, P. L.
1965
Quasiconformal extensions to space of Weierstrass-Enneper lifts. Zbl 1410.30005
Chuaqui, M.; Duren, P.; Osgood, B.
2018
Menahem Max Schiffer. Selected papers. Volume 2. Edited by Peter Duren and Lawrence Zalcman. Zbl 1295.01020
Schiffer, Menahem Max
2014
Menahem Max Schiffer. Selected papers. Volume 1. Edited by Peter Duren and Lawrence Zalcman. Zbl 1295.01019
Schiffer, Menahem Max
2013
Invitation to classical analysis. Zbl 1244.00003
Duren, Peter
2012
Concave conformal mappings and pre-vertices of Schwarz-Christoffel mappings. Zbl 1283.30048
Chuaqui, M.; Duren, P.; Osgood, B.
2012
Two-point distortion theorems for harmonic and pluriharmonic mappings. Zbl 1232.32007
Duren, Peter; Hamada, Hidetaka; Kohr, Gabriela
2011
Injectivity criteria for holomorphic curves in $$\mathbb{C}^n$$. Zbl 1252.30003
Chuaqui, M.; Duren, P.; Osgood, B.
2011
Schwarzian norms and two-point distortion. Zbl 1253.30031
Chuaqui, Martin; Duren, Peter; Ma, William; Mejía, Diego; Minda, David; Osgood, Brad
2011
Schwarzian derivatives of convex mappings. Zbl 1239.30003
Chuaqui, Martin; Duren, Peter; Osgood, Brad
2011
On a theorem of Haimo regarding concave mappings. Zbl 1243.30014
Chuaqui, Martin; Duren, Peter; Osgood, Brad
2011
Solutions for the generalized Loewner differential equation in several complex variables. Zbl 1196.32014
Duren, Peter; Graham, Ian; Hamada, Hidetaka; Kohr, Gabriela
2010
Multiplicative isometries and isometric zero-divisors. Zbl 1210.30018
Aleman, Alexandru; Duren, Peter; Martín, María J.; Vukotić, Dragan
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.
2010
Oscillation of solutions of linear differential equations. Zbl 1182.34046
Chuaqui, Martin; Duren, Peter; Osgood, Brad; Stowe, Dennis
2009
Two-point distortion theorems for harmonic mappings. Zbl 1207.30035
Chuaqui, Martin; Duren, Peter; Osgood, Brad
2009
Changing faces: the mistaken portrait of Legendre. Zbl 1186.01020
Duren, Peter
2009
Schwarzian derivatives and uniform local univalence. Zbl 1156.30019
Chuaqui, Martin; Duren, Peter; Osgood, Brad
2008
Robert Jentzsch, mathematician and poet. Zbl 1191.01041
Duren, Peter; Herbig, Anne-Katrin; Khavinson, Dmitry
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
2007
The pseudohyperbolic metric and Bergman spaces in the ball. Zbl 1109.32003
Duren, Peter; Weir, Rachel
2007
Univalence criteria for lifts of harmonic mappings to minimal surfaces. Zbl 1211.30011
Chuaqui, M.; Duren, P.; Osgood, B.
2007
Schwarzian derivative criteria for valence of analytic and harmonic mappings. Zbl 1134.30315
Chuaqui, Martin; Duren, Peter; Osgood, Brad
2007
Golden years of Moscow mathematics. 2nd ed. Zbl 1137.01018
2007
Ellipses, near ellipses, and harmonic Möbius transformations. Zbl 1068.30018
Chuaqui, Martin; Duren, Peter; Osgood, Brad
2005
On uniformly discrete sequences in the disk. Zbl 1082.30041
Duren, Peter; Schuster, Alexander; Vukotić, Dragan
2005
Harmonic mappings onto stars. Zbl 1112.31001
Duren, Peter; McDougall, Jane; Schaubroeck, Lisbeth
2005
Harmonic mappings in the plane. Zbl 1055.31001
Duren, Peter
2004
Bergman spaces. Zbl 1059.30001
Duren, Peter; Schuster, Alexander
2004
Curvature properties of planar harmonic mappings. Zbl 1051.30025
Chuaqui, Martin; Duren, Peter; Osgood, Brad O.
2004
The Schwarzian derivative for harmonic mappings. Zbl 1054.31003
Chuaqui, Martin; Duren, Peter; Osgood, Brad
2003
Elliptic capacity and its distortion under conformal mapping. Zbl 1026.30023
Duren, Peter; Kühnau, Reiner
2003
Finite unions of interpolation sequences. Zbl 0994.30032
Duren, Peter; Schuster, Alexander P.
2002
Multiplication invariant subspaces of the Bergman space. Zbl 1071.30033
Carswell, Brent J.; Duren, Peter L.; Stessin, Michael I.
2002
Trajectories of the zeros of hypergeometric polynomials $$F(-n, b; 2b; z)$$ for $$b< -\frac{1}{2}$$. Zbl 0987.33001
Driver, K.; Duren, P.
2001
Asymptotic properties of zeros of hypergeometric polynomials. Zbl 0983.33008
Duren, Peter L.; Guillou, Bertrand J.
2001
Zeros of ultraspherical polynomials and the Hilbert-Klein formulas. Zbl 0993.33008
Driver, Kathy; Duren, Peter
2001
Zeros of hypergeometric functions. Zbl 1009.33004
Boggs, Kathryn; Duren, Peter
2001
Zeros of the hypergeometric polynomials $$F(-n,b;2b;z)$$. Zbl 0969.33003
Driver, Kathy; Duren, Peter
2000
Harmonic mappings related to Scherk’s saddle-tower minimal surfaces. Zbl 0982.53008
Duren, Peter; Thygerson, William R.
2000
Uniform densities of regular sequences in the unit disk. Zbl 0948.30054
Duren, Peter L.; Schuster, Alexander P.; Seip, Kristian
2000
Asymptotic zero distribution of hypergeometric polynomials. Zbl 0935.33004
Driver, Kathy; Duren, Peter
1999
Harmonic shears of regular polygons by hypergeometric functions. Zbl 0937.30006
Driver, Kathy; Duren, Peter
1999
Hyperbolic capacity and its distortion under conformal mapping. Zbl 0974.31001
Duren, Peter; Pfaltzgraff, John
1999
Robin capacity. Zbl 0939.30016
Duren, Peter
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
1998
Harmonic mappings of multiply connected domains. Zbl 0885.30020
Duren, Peter; Hengartner, Walter
1997
Physical interpretation and further properties of Robin capacity. Zbl 0896.30020
Duren, P.; Pfaltzgraff, J.; Thurman, E.
1997
Boundary correspondence and dilatation of harmonic mappings. Zbl 0892.30022
Duren, Peter; Khavinson, Dmitry
1997
The argument principle for harmonic functions. Zbl 0863.31001
Duren, Peter; Hengartner, Walter; Laugesen, Richard S.
1996
Extremal functions in invariant subspaces of Bergman spaces. Zbl 0853.30023
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.
1996
A decomposition theorem for planar harmonic mappings. Zbl 0841.30019
Duren, Peter; Hengartner, Walter
1996
Invariant subspaces in Bergman spaces and the biharmonic equation. Zbl 0833.46044
Duren, P.; Khavinson, D.; Shapiro, H. S.; Sundberg, C.
1994
An inequality for complete elliptic integrals. Zbl 0816.33011
Anderson, G. D.; Duren, Peter; Vamanamurthy, M. K.
1994
Contractive zero-divisors in Bergman spaces. Zbl 0739.30029
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl
1993
Robin capacity and extremal length. Zbl 0797.31009
Duren, Peter; Pfaltzgraff, John
1993
Robin functions and distortion of capacity under conformal mapping. Zbl 0793.30018
Duren, Peter; Schiffer, M. M.
1993
Golden years of Moscow mathematics. Zbl 0793.01001
1993
Robin functions and energy functionals of multiply connected domains. Zbl 0682.30015
Duren, P. L.; Schiffer, M. M.
1991
Univalent functions which map onto regions of given transfinite diameter. Zbl 0724.30018
Duren, P. L.; Schiffer, M. M.
1991
The Legendre relation for elliptic integrals. Zbl 0787.33010
Duren, Peter
1991
Goluzin inequalities and minimum energy for mappings onto nonoverlapping regions. Zbl 0669.30011
Duren, P. L.; Schiffer, M. M.
1990
Linear extremal problems for harmonic mappings of the disk. Zbl 0693.30018
Duren, Peter; Schober, Glenn
1989
A century of mathematics in America. Part II. Ed. with the assistance of Richard A. Askey and Uta C. Merzbach. Zbl 0659.00007
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
1989
Inequalities for logarithmic coefficients of univalent functions and their derivatives. Zbl 0642.30017
Andreev, V. V.; Duren, P. L.
1988
A century of mathematics in America. Part I. Ed. with the assistance of Richard A. Askey and Uta C. Merzbach. Zbl 0656.00001
1988
Conformal mappings onto nonoverlapping regions. Zbl 0658.30017
Duren, P. L.; Schiffer, M. M.
1988
Grunsky inequalities for univalent functions with prescribed Hayman index. Zbl 0597.30029
Duren, P. L.; Schiffer, M. M.
1988
A variational method for harmonic mappings onto convex regions. Zbl 0606.30025
Duren, Peter; Schober, Glenn
1987
Distortion in several variables. Zbl 0559.32004
Duren, Peter; Rudin, Walter
1986
Generalized support points of the set of univalent functions. Zbl 0602.30022
Duren, Peter; Leung, Y. J.
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
1986
Regions of variability for univalent functions. Zbl 0598.30028
Duren, Peter; Ünal, Ayşenur
1986
Random series and bounded mean oscillation. Zbl 0565.30001
Duren, Peter
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.
1983
Nonvanishing univalent functions. II. Zbl 0572.30020
Duren, P.; Schober, G.
1982
Arcs omitted by support points of univalent functions. Zbl 0472.30022
Duren, Peter L.
1981
Nonvanishing univalent functions. Zbl 0411.30010
Duren, Peter; Schober, Glenn
1980
Extremal problems for univalent functions. Zbl 0492.30013
Duren, Peter L.
1980
Successive coefficients of univalent functions. Zbl 0398.30010
Duren, P. L.
1979
Logarithmic coefficients of univalent functions. Zbl 0436.30011
Duren, P. L.; Leung, Y. L.
1979
Extreme points of spaces of univalent functions. Zbl 0377.30015
Duren, Peter L.
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.
1977
Coefficients of univalent functions. Zbl 0372.30012
Duren, Peter L.
1977
Subordination. Zbl 0372.30013
Duren, Peter
1977
Applications of the Garabedian-Schiffer inequality. Zbl 0334.30008
Duren, Peter L.
1976
Asymptotic behavior of coefficients of univalent functions. Zbl 0324.30025
Duren, Peter L.
1976
Restrictions of $$H^p$$ functions to the diagonal of the polydisc. Zbl 0331.32002
Duren, P. L.; Shields, A. L.
1975
Estimation of coefficients of univalent functions by a Tauberian remainder theorem. Zbl 0296.30010
Duren, Peter L.
1974
Interpolation problems in function spaces. Zbl 0227.46033
Duren, P. L.; Williams, D. L.
1972
Two-slit mappings and the Marx conjecture. Zbl 0228.30007
Duren, Peter L.; McLaughlin, Renate
1972
Smirnov domains and conjugate functions. Zbl 0235.30038
Duren, Peter L.
1972
Coefficients of meromorphic schlicht functions. Zbl 0214.08701
Duren, P. L.
1971
On a class of schlicht functions. Zbl 0215.41503
Duren, P. L.; Schober, G. E.
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.
1970
Mean growth and coefficients of $$H^ p$$ functions. Zbl 0194.38202
Duren, P. L.; Taylor, G. D.
1970
Schwarzian derivatives and homeomorphic extensions. Zbl 0204.09201
Duren, P. L.; Lehto, O.
1970
Linear functionals on $$H^ p$$ spaces with $$0 < p < 1$$. Zbl 0176.43102
Duren, P. L.; Romberg, B. W.; Shields, A. L.
1969
...and 15 more Documents
all top 5

### Cited by 2,349 Authors

 97 Ponnusamy, Saminathan 36 Duren, Peter Larkin 32 Hamada, Hidetaka 30 Kohr, Gabriela 30 Peláez, José Ángel 29 Rättyä, Jouni 28 Girela, Daniel 28 Srivastava, Hari Mohan 26 Chen, Shaolin 24 Wang, Xiantao 23 Kalaj, David 21 Chuaqui, Martin 21 Rasila, Antti 20 Khavinson, Dmitry S. 19 Li, Songxiao 18 Iwaniec, Tadeusz 18 Onninen, Jani 17 Aleman, Alexandru 17 Colonna, Flavia 17 Martín, María J. 17 Sugawa, Toshiyuki 17 Vukotić, Dragan 16 Gallardo-Gutiérrez, Eva Antonia 15 Blasco, Oscar 15 Driver, Kathy A. 15 Hernández, Rodrigo 15 Jahangiri, Jay M. 15 Partington, Jonathan R. 14 Abu-Muhanna, Yusuf 14 Owa, Shigeyoshi 14 Ross, William T. 14 Sahoo, Swadesh Kumar 13 Ali, Rosihan Mohamed 13 Graham, Ian R. 13 Leblond, Juliette 13 Osgood, Brad G. 13 Rodríguez-Piazza, Luis 13 Wirths, Karl-Joachim 12 Bshouty, Daoud H. 12 Dorff, Michael John 12 MacGregor, Thomas H. 12 Porwal, Saurabh 12 Wulan, Hasi 11 Abdulhadi, Zayid 11 Kim, Yong Chan 11 Mashreghi, Javad 11 Pavlović, Miroslav 11 Qian, Ruishen 11 Queffélec, Hervé 11 Shapiro, Joel H. 10 Chen, Xingdi 10 Dubinin, Vladimir N. 10 Gröhn, Janne 10 Heittokangas, Janne M. 10 Kaliraj, Anbareeswaran Sairam 10 Kayumov, Il’giz Rifatovich 10 Lefèvre, Pascal 10 Li, Daniel 10 Qian, Tao 10 Seco, Daniel 10 Stević, Stevo 10 Vamshee Krishna, Deekonda 10 Vasudevarao, Allu 10 Wang, Zhigang 10 Yamashita, Shinji 9 Bao, Guanlong 9 Bénéteau, Catherine 9 Betsakos, Dimitrios 9 Bourdon, Paul S. 9 Brevig, Ole Fredrik 9 Chen, Jiaolong 9 Kovalev, Leonid V. 9 Liu, Zhihong 9 Lou, Zengjian 9 Murugusundaramoorthy, Gangadharan 9 Xiao, Jie 9 Ye, Shanli 9 Zhu, Jianfeng 9 Zhu, Kehe 8 Baratchart, Laurent 8 Bulut, Serap 8 Cho, Nak Eun 8 Contreras, Manuel D. 8 Dong, Xinhan 8 Ferguson, Timothy 8 Hamidi, Samaneh Gholizadeh 8 Hartmann, Andreas 8 Hedenmalm, Håkan 8 Iancu, Mihai 8 Ibrahim, Rabha Waell 8 Lecko, Adam 8 Liu, Yongmin 8 Pau, Jordi 8 Sakar, Fethiye Müge 8 Shamoyan, Romi F. 8 Solynin, Alexander Yu. 8 Weitsman, Allen 8 Yalçin, Sibel 7 Akeroyd, John R. 7 Aydogan, Melike S. ...and 2,249 more Authors
all top 5

### Cited in 350 Serials

 276 Journal of Mathematical Analysis and Applications 115 Journal of Functional Analysis 103 Proceedings of the American Mathematical Society 94 Computational Methods and Function Theory 74 Complex Analysis and Operator Theory 69 Journal d’Analyse Mathématique 55 Transactions of the American Mathematical Society 53 Integral Equations and Operator Theory 45 Mathematische Zeitschrift 41 Journal of Approximation Theory 40 Monatshefte für Mathematik 38 The Journal of Geometric Analysis 36 Advances in Mathematics 35 Rocky Mountain Journal of Mathematics 35 Applied Mathematics and Computation 34 Journal of Mathematical Sciences (New York) 31 Archiv der Mathematik 30 Journal of Computational and Applied Mathematics 29 Complex Variables and Elliptic Equations 28 Abstract and Applied Analysis 28 Analysis and Mathematical Physics 26 Journal of Soviet Mathematics 26 Journal of Inequalities and Applications 26 Journal of Function Spaces 24 Israel Journal of Mathematics 23 Arkiv för Matematik 23 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 21 Mathematische Annalen 20 Mathematical Notes 20 Results in Mathematics 20 Constructive Approximation 20 Comptes Rendus. Mathématique. Académie des Sciences, Paris 19 Ukrainian Mathematical Journal 18 Computers & Mathematics with Applications 18 Mediterranean Journal of Mathematics 17 International Journal of Mathematics and Mathematical Sciences 17 Filomat 17 Bulletin des Sciences Mathématiques 16 Indagationes Mathematicae. New Series 14 Duke Mathematical Journal 14 Linear Algebra and its Applications 13 Archive for Rational Mechanics and Analysis 13 Bulletin of the Australian Mathematical Society 13 Turkish Journal of Mathematics 13 AIMS Mathematics 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 Acta Mathematica Sinica. English Series 11 Annales de l’Institut Fourier 11 Mathematische Nachrichten 11 The Journal of Analysis 11 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 11 Afrika Matematika 10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 10 Siberian Mathematical Journal 10 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 10 Acta Mathematica Scientia. Series B. (English Edition) 10 Science China. Mathematics 9 Lithuanian Mathematical Journal 9 Acta Mathematica 9 Canadian Mathematical Bulletin 9 Revista Matemática Iberoamericana 9 Applied Mathematics Letters 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Integral Transforms and Special Functions 8 Analysis Mathematica 8 Communications in Mathematical Physics 8 Automatica 8 Illinois Journal of Mathematics 8 Inventiones Mathematicae 8 Manuscripta Mathematica 8 Tôhoku Mathematical Journal. Second Series 8 Zeitschrift für Analysis und ihre Anwendungen 8 Russian Mathematics 8 Potential Analysis 8 Problemy Analiza. Issues of Analysis 8 Journal of Complex Analysis 8 Annales Fennici Mathematici 7 The Mathematical Intelligencer 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Kodai Mathematical Journal 7 Rendiconti del Circolo Matemàtico di Palermo. Serie II 7 Science in China. Series A 7 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 7 Journal of the Egyptian Mathematical Society 7 Annales Academiae Scientiarum Fennicae. Mathematica 7 Conformal Geometry and Dynamics 7 Lobachevskii Journal of Mathematics 7 Journal of the Australian Mathematical Society 7 Asian-European Journal of Mathematics 6 International Journal of Control 6 Journal of Mathematical Physics 6 Bulletin de la Société Mathématique de France 6 Collectanea Mathematica 6 Numerische Mathematik 6 Journal of the American Mathematical Society 6 Calculus of Variations and Partial Differential Equations 6 Journal of Nonlinear Science and Applications ...and 250 more Serials
all top 5

### Cited in 56 Fields

 1,740 Functions of a complex variable (30-XX) 570 Operator theory (47-XX) 468 Functional analysis (46-XX) 381 Potential theory (31-XX) 235 Several complex variables and analytic spaces (32-XX) 167 Harmonic analysis on Euclidean spaces (42-XX) 141 Partial differential equations (35-XX) 109 Special functions (33-XX) 86 Approximations and expansions (41-XX) 74 Ordinary differential equations (34-XX) 53 Real functions (26-XX) 52 Systems theory; control (93-XX) 51 Numerical analysis (65-XX) 47 Differential geometry (53-XX) 44 Dynamical systems and ergodic theory (37-XX) 44 Probability theory and stochastic processes (60-XX) 33 Global analysis, analysis on manifolds (58-XX) 30 Quantum theory (81-XX) 29 Measure and integration (28-XX) 24 History and biography (01-XX) 23 Number theory (11-XX) 23 Abstract harmonic analysis (43-XX) 21 Combinatorics (05-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 Fluid mechanics (76-XX) 19 Integral equations (45-XX) 18 Information and communication theory, circuits (94-XX) 17 Integral transforms, operational calculus (44-XX) 13 Statistics (62-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 9 Topological groups, Lie groups (22-XX) 7 Convex and discrete geometry (52-XX) 7 Mechanics of deformable solids (74-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Nonassociative rings and algebras (17-XX) 6 Difference and functional equations (39-XX) 6 Computer science (68-XX) 6 Optics, electromagnetic theory (78-XX) 5 Sequences, series, summability (40-XX) 4 General and overarching topics; collections (00-XX) 4 Algebraic geometry (14-XX) 4 Group theory and generalizations (20-XX) 4 Manifolds and cell complexes (57-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Geometry (51-XX) 3 Algebraic topology (55-XX) 3 Relativity and gravitational theory (83-XX) 3 Astronomy and astrophysics (85-XX) 2 Field theory and polynomials (12-XX) 2 Associative rings and algebras (16-XX) 2 Biology and other natural sciences (92-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 Mathematics education (97-XX)

### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.