Edit Profile (opens in new tab) Saff, Edward Barry Co-Author Distance Author ID: saff.edward-b Published as: Saff, E. B.; Saff, Edward B.; Saff, E.; Saff, Edward Barry; B. Saff, Edward; Saff, Edward more...less Homepage: https://my.vanderbilt.edu/edsaff/ External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 311 Publications since 1968, including 11 Books and 7 Additional arXiv Preprints 14 Contributions as Editor Biographic References: 4 Publications Co-Authors: 144 Co-Authors with 296 Joint Publications 3,377 Co-Co-Authors all top 5 Co-Authors 20 single-authored 51 Hardin, Douglas P. 40 Varga, Richard Steven 27 Dragnev, Peter D. 14 Brauchart, Johann S. 13 Boĭvalenkov, Pet”r Georgiev 13 Levin, A. L. 13 Lubinsky, Doron S. 13 Mhaskar, Hrushikesh N. 13 Stoyanova, Maya M. 13 Stylianopoulos, Nikos S. 12 Totik, Vilmos 11 Baratchart, Laurent 8 Prokhorov, Vasily A. 7 Borodachov, Sergiy V. 6 Blatt, Hans-Peter 6 López Lagomasino, Guillermo Tomás 6 Martínez-Finkelshtein, Andrei 5 Graves-Morris, Peter R. 5 Iserles, Arieh 5 Ivanov, Kamen G. 5 Kroó, András 5 Li, Xin 5 Papamichael, Nicolas 5 Rakhmanov, Evgenij Andreevich 5 Ruscheweyh, Stephan 5 Stahl, Herbert Robert 5 Wielonsky, Franck 4 Kuijlaars, Arno B. J. 4 Maymeskul, V. V. 4 Nagle, Richard Kent 4 Pritsker, Igor E. 4 Putinar, Mihai 4 Snider, Arthur David 4 Vlasiuk, Oleksandr V. 3 Borwein, Peter Benjamin 3 de Bruin, Marcel G. 3 Erdélyi, Tamás 3 Fuglede, Bent 3 Götz, Mario 3 Lachance, Michael A. 3 Sharma, Ambikeshwar 3 Sloan, Ian Hugh 3 Walsh, Joseph Leonard 3 Womersley, Robert S. 3 Zorii, Natalia 2 Anderson, Ned 2 Aptekarev, Alexander Ivanovich 2 Barrios Rolanía, D. 2 Beckermann, Bernhard 2 Bondarenko, Andriy V. 2 Bosuwan, Nattapong 2 Braess, Dietrich 2 Chafaï, Djalil 2 Durán, Antonio José 2 Ellacott, Stephen W. 2 Gonchar, Andreĭ Aleksandrovich 2 Goodman, Adolph-W. 2 Grabner, Peter J. 2 Grinshpan, Arcadii Z. 2 Gustafsson, Bjorn 2 Jones, William Branham 2 Leblond, Juliette 2 Liu, Xiaoyan 2 Mandréa, F. 2 McLaughlin, Kenneth D. T.-R. 2 Michaels, T. J. 2 Petrache, Mircea 2 Petrushev, Pencho P. 2 Rivlin, Theodore Joseph 2 Schönhage, Arnold 2 Simanek, Brian Z. 2 Simeonov, Plamen C. 2 Volberg, Alexander Lvovich 2 Wang, Yuguang 2 Yattselev, Maxim L. 1 Ali, Rosihan Mohamed 1 Bachoc, Christine 1 Bergweiler, Walter 1 Binev, Peter G. 1 Buyarov, V. S. 1 Chen, Xuemei 1 Clunie, James Gourlay 1 Danielyan, Arthur A. 1 de Boor, Carl 1 Dehesa, Jesús S. 1 Dick, Josef 1 Edrei, Albert 1 Fisher, Stephen D. 1 Gaier, Dieter 1 Gauthier, Paul M. 1 Gutknecht, Martin H. 1 He, Matthew Xisheng 1 Horowitz, D. A. 1 Ismail, Mourad El-Houssieny 1 Kalyagin, Valery A. 1 Kartsatos, Athanassios G. 1 Kendall, Amos P. 1 Khavinson, Dmitry S. 1 Kovacheva, Ralitsa Krumova 1 Krot, A. V. ...and 51 more Co-Authors all top 5 Serials 37 Journal of Approximation Theory 22 Constructive Approximation 15 Transactions of the American Mathematical Society 13 Proceedings of the American Mathematical Society 12 Numerische Mathematik 10 Journal of Computational and Applied Mathematics 8 SIAM Journal on Mathematical Analysis 7 Journal of the London Mathematical Society. Second Series 6 Journal of Mathematical Analysis and Applications 6 Potential Analysis 6 Lecture Notes in Mathematics 5 Canadian Journal of Mathematics 5 Computational Methods and Function Theory 4 Journal d’Analyse Mathématique 4 Rocky Mountain Journal of Mathematics 4 Pacific Journal of Mathematics 4 IMRN. International Mathematics Research Notices 4 Foundations of Computational Mathematics 3 Journal of Mathematical Physics 3 Mathematics of Computation 3 Acta Mathematica Hungarica 3 Designs, Codes and Cryptography 3 Indagationes Mathematicae. New Series 3 Oberwolfach Reports 2 Inverse Problems 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Advances in Mathematics 2 Indagationes Mathematicae 2 International Journal of Mathematics and Mathematical Sciences 2 Mathematische Zeitschrift 2 Mathematika 2 Journal of Complexity 2 Linear Algebra and its Applications 2 Bulletin of the American Mathematical Society. New Series 2 East Journal on Approximations 2 Sbornik: Mathematics 2 Series in Approximations and Decompositions 2 Complex Analysis and Operator Theory 2 Analysis and Mathematical Physics 2 Dolomites Research Notes on Approximation 1 American Mathematical Monthly 1 IEEE Transactions on Information Theory 1 IMA Journal of Numerical Analysis 1 Israel Journal of Mathematics 1 Russian Mathematical Surveys 1 The Mathematical Intelligencer 1 Bulletin of the London Mathematical Society 1 Indian Journal of Mathematics 1 Indiana University Mathematics Journal 1 RAIRO. Analyse Numérique 1 SIAM Journal on Numerical Analysis 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Complex Variables. Theory and Application 1 Acta Applicandae Mathematicae 1 Approximation Theory and its Applications 1 Discrete & Computational Geometry 1 Numerical Algorithms 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Notices of the American Mathematical Society 1 Matematicheskiĭ Sbornik 1 Experimental Mathematics 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Mathematical Research Letters 1 Methods and Applications of Analysis 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Surveys in Approximation Theory (SAT) 1 Bulletin of the American Mathematical Society 1 Grundlehren der Mathematischen Wissenschaften 1 Springer Series in Computational Mathematics 1 Uniform Distribution Theory 1 Jaen Journal on Approximation 1 Springer Monographs in Mathematics all top 5 Fields 156 Approximations and expansions (41-XX) 118 Functions of a complex variable (30-XX) 68 Potential theory (31-XX) 42 Harmonic analysis on Euclidean spaces (42-XX) 31 Numerical analysis (65-XX) 27 Special functions (33-XX) 26 Convex and discrete geometry (52-XX) 16 Measure and integration (28-XX) 15 General and overarching topics; collections (00-XX) 15 Information and communication theory, circuits (94-XX) 9 Number theory (11-XX) 7 Combinatorics (05-XX) 7 Real functions (26-XX) 7 Operator theory (47-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Optics, electromagnetic theory (78-XX) 6 Ordinary differential equations (34-XX) 5 History and biography (01-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Partial differential equations (35-XX) 4 Probability theory and stochastic processes (60-XX) 3 Field theory and polynomials (12-XX) 3 Sequences, series, summability (40-XX) 3 Operations research, mathematical programming (90-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Mechanics of deformable solids (74-XX) 1 Algebraic geometry (14-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 269 Publications have been cited 4,018 times in 2,293 Documents Cited by ▼ Year ▼ Logarithmic potentials with external fields. Zbl 0881.31001 Saff, Edward B.; Totik, Vilmos 762 1997 Distributing many points on a sphere. Zbl 0901.11028 Saff, E. B.; Kuijlaars, A. B. J. 182 1997 Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials). Zbl 0582.41009 Mhaskar, H. N.; Saff, E. B. 101 1985 Discretizing manifolds via minimum energy points. Zbl 1095.49031 Hardin, D. P.; Saff, E. B. 88 2004 Asymptotics for minimal discrete energy on the sphere. Zbl 0896.52019 Kuijlaars, A. B. J.; Saff, E. B. 86 1998 Extremal problems for polynomials with exponential weights. Zbl 0546.41014 Mhaskar, H. N.; Saff, E. B. 83 1984 Minimal discrete energy on the sphere. Zbl 0839.31011 Rakhmanov, E. A.; Saff, E. B.; Zhou, Y. M. 76 1994 Constrained energy problems with applications to orthogonal polynomials of a discrete variable. Zbl 0898.31003 Dragnev, P. D.; Saff, E. B. 57 1997 Jentzsch-Szegö type theorems for the zeros of best approximants. Zbl 0684.41006 Blatt, H.-P.; Saff, E. B.; Simkani, M. 53 1988 Discrete energy on rectifiable sets. Zbl 1437.41002 Borodachov, Sergiy V.; Hardin, Douglas P.; Saff, Edward B. 53 2019 A proof of Freud’s conjecture for exponential weights. Zbl 0653.42024 Lubinsky, D. S.; Mhaskar, H. N.; Saff, E. B. 51 1988 Minimal Riesz energy point configurations for rectifiable \(d\)-dimensional manifolds. Zbl 1192.49048 Hardin, D. P.; Saff, E. B. 49 2005 Strong asymptotics for extremal polynomials associated with weights on \({\mathbb{R}}\). Zbl 0647.41001 Lubinsky, D. S.; Saff, E. B. 47 1988 The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere. Zbl 1318.31011 Brauchart, J. S.; Hardin, D. P.; Saff, E. B. 46 2012 An extension of Montessus de Ballore’s theorem on the convergence of interpolating rational functions. Zbl 0241.30013 Saff, E. B. 44 1972 QMC designs: optimal order quasi Monte Carlo integration schemes on the sphere. Zbl 1315.65003 Brauchart, J. S.; Saff, E. B.; Sloan, I. H.; Womersley, R. S. 44 2014 Asymptotics for discrete weighted minimal Riesz energy problems on rectifiable sets. Zbl 1145.11059 Borodachov, S. V.; Hardin, D. P.; Saff, E. B. 41 2008 Bergman polynomials on an archipelago: estimates, zeros and shape reconstruction. Zbl 1194.42030 Gustafsson, Björn; Putinar, Mihai; Saff, Edward B.; Stylianopoulos, Nikos 36 2009 On the zeros and poles of Padè approximants to \(e^z\). III. Zbl 0438.41015 Saff, E. B.; Varga, R. S. 33 1978 On the distribution of zeros of polynomials orthogonal on the unit circle. Zbl 0721.42014 Mhaskar, H. N.; Saff, E. B. 32 1990 Convergence of Padé approximants of partial theta functions and the Rogers-Szegö polynomials. Zbl 0634.41013 Lubinsky, D. S.; Saff, E. B. 31 1987 Higher-order three-term recurrences and asymptotics of multiple orthogonal polynomials. Zbl 1189.41007 Aptekarev, A. I.; Kalyagin, V. A.; Saff, E. B. 30 2009 Szegő orthogonal polynomials with respect to an analytic weight: Canonical representation and strong asymptotics. Zbl 1135.42326 Martínez-Finkelshtein, A.; McLaughlin, K. T.-R.; Saff, E. B. 30 2006 Row convergence theorems for generalised inverse vector-valued Padé approximants. Zbl 0651.41009 Graves-Morris, P. R.; Saff, E. B. 29 1988 The zeros of Faber polynomials for an \(m\)-cusped hypocycloid. Zbl 0814.41006 He, M. X.; Saff, E. B. 29 1994 On the zeros and poles of Padé approximants to \(e^z\). Zbl 0322.41010 Saff, E. B.; Varga, R. S. 28 1975 Riesz spherical potentials with external fields and minimal energy points separation. Zbl 1115.31003 Dragnev, P. D.; Saff, E. B. 27 2007 A de Montessus theorem for vector valued rational interpolants. Zbl 0554.41025 Graves-Morris, P. R.; Saff, E. B. 27 1984 Asymptotics for zeros of Szegő polynomials associated with trigonometric polynomial signals. Zbl 0773.42017 Pan, K.; Saff, E. B. 27 1992 Asymptotics for minimal discrete Riesz energy on curves in \(\mathbb{R}^d\). Zbl 1073.31007 Martínez-Finkelshtein, A.; Maymeskul, V.; Rakhmanov, E. A.; Saff, E. B. 26 2004 Szegö polynomials associated with Wiener-Levinson filters. Zbl 0718.94002 Jones, William B.; Njåstad, Olav; Saff, E. B. 26 1990 Zeros of sections of power series. Zbl 0507.30001 Edrei, Albert; Saff, Edward B.; Varga, Richard S. 25 1983 On the Eneström-Kakeya theorem and its sharpness. Zbl 0423.15007 Anderson, N.; Saff, E. B.; Varga, R. S. 25 1979 Zero-free parabolic regions for sequences of polynomials. Zbl 0332.30001 Saff, E. B.; Varga, R. S. 23 1976 Electrons on the sphere. Zbl 0870.65049 Rakhmanov, E. A.; Saff, E. B.; Zhou, Y. M. 23 1995 The distribution of zeros of asymptotically extremal polynomials. Zbl 0744.41007 Mhaskar, H. N.; Saff, E. B. 21 1991 A comparison of popular point configurations on \(\mathbb S^2\). Zbl 1370.31001 Hardin, D. P.; Michaels, T.; Saff, E. B. 21 2016 Where does the L p-norm of a weighted polynomial live? Zbl 0636.41008 Mhaskar, H. N.; Saff, E. B. 20 1987 Orthogonal polynomials from a complex perspective. Zbl 0697.42021 Saff, E. B. 20 1990 Polynomial approximation of piecewise analytic functions. Zbl 0683.41011 Saff, E. B.; Totik, V. 19 1989 The Riesz energy of the \(N\)th roots of unity: an asymptotic expansion for large \(N\). Zbl 1175.30003 Brauchart, J. S.; Hardin, D. P.; Saff, E. B. 19 2009 On the zeros of Jacobi polynomials \(P_n^{(\alpha_n,\beta_n)}(x)\). Zbl 0414.33009 Moak, D. S.; Saff, E. B.; Varga, R. S. 19 1979 Universal lower bounds for potential energy of spherical codes. Zbl 1404.94154 Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M. 19 2016 Characterizing kernels of operators related to thin-plate magnetizations via generalizations of Hodge decompositions. Zbl 1334.78017 Baratchart, L.; Hardin, D. P.; Lima, E. A.; Saff, E. B.; Weiss, B. P. 19 2013 Logarithmic potential theory with applications to approximation theory. Zbl 1285.30020 Saff, E. B. 19 2010 A problem in potential theory and zero asymptotics of Krawtchouk polynomials. Zbl 0951.33008 Dragnev, P. D.; Saff, E. B. 18 2000 Nonuniqueness of best approximating complex rational functions. Zbl 0348.41020 Saff, E. B.; Varga, R. S. 18 1977 On separation of minimal Riesz energy points on spheres in Euclidean spaces. Zbl 1110.49003 Kuijlaars, A. B. J.; Saff, E. B.; Sun, X. 17 2007 Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle. Zbl 1135.42325 Martınez-Finkelshtein, A.; McLaughlin, K. T.-R.; Saff, E. B. 17 2006 Behavior of zeros of polynomials of near best approximation. Zbl 0605.41026 Blatt, H.-P.; Saff, E. B. 17 1986 Riesz extremal measures on the sphere for axis-supported external fields. Zbl 1175.31004 Brauchart, J. S.; Dragnev, P. D.; Saff, E. B. 17 2009 On univalent functions convex in one direction. Zbl 0408.30010 Goodman, A. W.; Saff, E. B. 17 1979 Riesz external field problems on the hypersphere and optimal point separation. Zbl 1307.31010 Brauchart, Johann S.; Dragnev, Peter D.; Saff, Edward B. 17 2014 Asymptotic properties of Heine–Stieltjes and Van Vleck polynomials. Zbl 1099.33502 Martínez-Finkelshtein, A.; Saff, E. B. 17 2002 Riesz polarization inequalities in higher dimensions. Zbl 1282.31003 Erdélyi, Tamás; Saff, Edward B. 17 2013 Potential theoretic tools in polynomial and rational approximation. Zbl 1146.41001 Levin, Eli; Saff, Edward B. 16 2006 Coefficient and integral mean estimates for algebraic and trigonometric polynomials with restricted zeros. Zbl 0316.30004 Saff, E. B.; Sheil-Small, T. 16 1974 Fundamentals of complex analysis for mathematics, science, and engineering. Zbl 0331.30001 Saff, E. B.; Snider, A. D. 16 1976 Weighted analogues of capacity, transfinite diameter, and Chebyshev constant. Zbl 0747.31001 Mhaskar, H. N.; Saff, E. B. 16 1992 Polarization optimality of equally spaced points on the circle for discrete potentials. Zbl 1271.30001 Hardin, Douglas P.; Kendall, Amos P.; Saff, Edward B. 16 2013 Zero asymptotic behaviour for orthogonal matrix polynomials. Zbl 0945.42013 Duran, A. J.; Lopez-Rodriguez, P.; Saff, E. B. 15 1999 Incomplete and orthogonal polynomials. Zbl 0563.41006 Saff, E. B. 15 1983 Geometric convergence to \(e^{-z}\) by rational functions with real poles. Zbl 0307.65025 Saff, E. B.; Schönhage, A.; Varga, R. S. 15 1976 Finite sequences of orthogonal polynomials connected by a Jacobi matrix. Zbl 0614.65035 de Boor, Carl; Saff, Edward B. 15 1986 The sharpness of Lorentz’s theorem on incomplete polynomials. Zbl 0414.41009 Saff, E. B.; Varga, R. S. 15 1979 An extension of the Eneström-Kakeya theorem and its sharpness. Zbl 0455.30006 Anderson, N.; Saff, E. B.; Varga, R. S. 15 1981 Periodic discrete energy for long-range potentials. Zbl 1310.74022 Hardin, D. P.; Saff, E. B.; Simanek, B. 15 2014 Fundamentals of differential equations and boundary value problems. 3rd ed. Zbl 0949.34001 Nagle, R. Kent; Saff, Edward B.; Snider, Arthur David 14 2000 Low complexity methods for discretizing manifolds via Riesz energy minimization. Zbl 1304.31006 Borodachov, S. V.; Hardin, D. P.; Saff, E. B. 14 2014 Covering of spheres by spherical caps and worst-case error for equal weight cubature in Sobolev spaces. Zbl 1325.65037 Brauchart, J. S.; Dick, J.; Saff, E. B.; Sloan, I. H.; Wang, Y. G.; Womersley, R. S. 14 2015 Zeros of expansions in orthogonal polynomials. Zbl 0679.33007 Iserles, A.; Saff, E. B. 13 1989 Behavior of polynomials of best uniform approximation. Zbl 0683.41034 Saff, E. B.; Totik, V. 13 1989 Asymptotics of best-packing on rectifiable sets. Zbl 1124.28004 Borodachov, S. V.; Hardin, D. P.; Saff, E. B. 13 2007 Incomplete factorizations of matrices and connections with H-matrices. Zbl 0477.65020 Varga, R. S.; Saff, E. B.; Mehrmann, V. 13 1980 A note on the sharpness of J. L. Walsh’s theorem and its extensions for interpolation in the roots of unity. Zbl 0524.30026 Saff, E. B.; Varga, R. S. 13 1983 Zero distributions for polynomials orthogonal with weights over certain planar regions. Zbl 1098.30009 Miña-Díaz, Erwin; Saff, Edward B.; Stylianopoulos, Nikos S. 13 2005 On transformations and zeros of polynomials. Zbl 0754.26007 Iserles, Arieh; Nørsett, Syvert P.; Saff, E. B. 13 1991 Zero distribution of Bergman orthogonal polynomials for certain planar domains. Zbl 1027.30009 Levin, A. L.; Saff, E. B.; Stylianopoulos, N. S. 13 2003 The density of extreme points in complex polynomial approximation. Zbl 0663.41027 Kroó, András; Saff, E. B. 12 1988 Incomplete polynomials: an electrostatics approach. Zbl 0479.41016 Saff, E. B.; Ullman, J. L.; Varga, R. S. 12 1980 Weighted polynomials on finite and infinite intervals: A unified approach. Zbl 0565.41017 Mhaskar, H. N.; Saff, E. B. 12 1984 How can the meromorphic approximation help to solve some 2D inverse problems for the Laplacian? Zbl 0921.35187 Baratchart, L.; Leblond, J.; Mandréa, F.; Saff, E. B. 12 1999 Asymptotics of the information entropy for Jacobi and Laguerre polynomials with varying weights. Zbl 0946.33005 Buyarov, V. S.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Saff, E. B. 12 1999 The distribution of extreme points in best complex polynomial approximation. Zbl 0705.41030 Blatt, H.-P.; Saff, E. B.; Totik, V. 12 1989 An extension of a row convergence theorem for vector Padé approximants. Zbl 0747.41013 Graves-Morris, P. R.; Saff, E. B. 12 1991 Nonuniqueness of best complex rational approximations to real functions on real intervals. Zbl 0375.41008 Saff, E. B.; Varga, R. S. 12 1978 On incomplete polynomials. II. Zbl 0424.41004 Saff, E. B.; Varga, R. S. 12 1981 Discrete energy asymptotics on a Riemannian circle. Zbl 1324.31006 Brauchart, Johann S.; Hardin, Douglas P.; Saff, Edward B. 12 2012 The covering radius of randomly distributed points on a manifold. Zbl 1404.60005 Reznikov, A.; Saff, Edward B. 12 2016 Uniform and mean approximation by certain weighted polynomials, with applications. Zbl 0646.41003 Lubinsky, D. S.; Saff, E. B. 11 1988 Random point sets on the sphere – hole radii, covering, and separation. Zbl 1386.52019 Brauchart, J. S.; Reznikov, A. B.; Saff, E. B.; Sloan, I. H.; Wang, Y. G.; Womersley, R. S. 11 2018 On the zeros of generalized Bessel polynomials. II. Zbl 0467.33004 de Bruin, M. G.; Saff, E. B.; Varga, R. S. 11 1981 On the zeros and poles of Padé approximants to \(e^z\). II. Zbl 0377.41016 Saff, E. B.; Varga, R. S. 11 1977 Mesh ratios for best-packing and limits of minimal energy configurations. Zbl 1349.31004 Bondarenko, A. V.; Hardin, D. P.; Saff, E. B. 11 2014 Rational interpolation of the exponential function. Zbl 0852.41013 Baratchart, L.; Saff, E. B.; Wielonsky, F. 10 1995 Asymptotic distribution of the zeros of Faber polynomials. Zbl 0848.30004 Kuijlaars, A. B. J.; Saff, E. B. 10 1995 Quasi-uniformity of minimal weighted energy points on compact metric spaces. Zbl 1301.28004 Hardin, D. P.; Saff, E. B.; Whitehouse, J. T. 10 2012 The density of alternation points in rational approximation. Zbl 0688.41018 Borwein, P. B.; Króo, A.; Grothmann, R.; Saff, E. B. 10 1989 Extremal problems for polynomials with Laguerre weights. Zbl 0574.41014 Mhaskar, H. N.; Saff, E. B. 10 1983 Uniform approximation by incomplete polynomials. Zbl 0421.41006 Saff, E. B.; Varga, R. S. 10 1978 Riesz energy problems with external fields and related theory. Zbl 1516.31014 Dragnev, P. D.; Orive, R.; Saff, E. B.; Wielonsky, F. 3 2023 Threshold condensation to singular support for a Riesz equilibrium problem. Zbl 1509.31010 Chafaï, Djalil; Saff, Edward B.; Womersley, Robert S. 2 2023 On polarization of spherical codes and designs. Zbl 1511.05028 Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M. 2 2023 Unconstrained polarization (Chebyshev) problems: basic properties and Riesz kernel asymptotics. Zbl 1485.31001 Hardin, Douglas P.; Petrache, Mircea; Saff, Edward B. 2 2022 On the solution of a Riesz equilibrium problem and integral identities for special functions. Zbl 1495.31013 Chafaï, Djalil; Saff, Edward B.; Womersley, Robert S. 2 2022 Perturbations of Christoffel-Darboux kernels: detection of outliers. Zbl 1470.42049 Beckermann, Bernhard; Putinar, Mihai; Saff, Edward B.; Stylianopoulos, Nikos 3 2021 On the search for tight frames of low coherence. Zbl 1464.42022 Chen, Xuemei; Hardin, Douglas P.; Saff, Edward B. 3 2021 Bounds for spherical codes: the Levenshtein framework lifted. Zbl 1475.94214 Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M. 1 2021 Universal bounds for size and energy of codes of given minimum and maximum distances. Zbl 1473.94161 Boyvalenkov, Peter G.; Dragnev, Peter D.; Hardin, Douglas P.; Saff, Edward B.; Stoyanova, Maya M. 1 2021 Constrained minimum Riesz energy problems for a condenser with intersecting plates. Zbl 1439.31006 Dragnev, Peter D.; Fuglede, Bent; Hardin, Doug P.; Saff, Edward B.; Zorii, Natalia 4 2020 Inverse potential problems for divergence of measures with total variation regularization. Zbl 1460.35077 Baratchart, L.; Villalobos Guillén, C.; Hardin, D. P.; Northington, M. C.; Saff, E. B. 3 2020 Upper bounds for energies of spherical codes of given cardinality and separation. Zbl 1453.94162 Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M. 2 2020 Discrete energy on rectifiable sets. Zbl 1437.41002 Borodachov, Sergiy V.; Hardin, Douglas P.; Saff, Edward B. 53 2019 Condensers with touching plates and constrained minimum Riesz and Green energy problems. Zbl 1435.31009 Dragnev, P. D.; Fuglede, B.; Hardin, D. P.; Saff, E. B.; Zorii, N. 8 2019 On spherical codes with inner products in a prescribed interval. Zbl 1448.94301 Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M. 5 2019 Local properties of Riesz minimal energy configurations and equilibrium measures. Zbl 1457.31004 Hardin, D. P.; Reznikov, A.; Saff, E. B.; Volberg, A. 5 2019 Energy bounds for codes in polynomial metric spaces. Zbl 1454.94139 Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M. 5 2019 Asymptotic linear programming lower bounds for the energy of minimizing Riesz and Gauss configurations. Zbl 1410.28004 Hardin, D. P.; Michaels, T. J.; Saff, E. B. 1 2019 Random point sets on the sphere – hole radii, covering, and separation. Zbl 1386.52019 Brauchart, J. S.; Reznikov, A. B.; Saff, E. B.; Sloan, I. H.; Wang, Y. G.; Womersley, R. S. 11 2018 Optimal discrete measures for Riesz potentials. Zbl 1401.31018 Borodachov, S. V.; Hardin, D. P.; Reznikov, A.; Saff, E. B. 9 2018 Large deviation principles for hypersingular Riesz gases. Zbl 1398.82044 Hardin, Douglas P.; Leblé, Thomas; Saff, Edward B.; Serfaty, Sylvia 9 2018 Covering and separation of Chebyshev points for non-integrable Riesz potentials. Zbl 1408.31004 Reznikov, A.; Saff, E.; Volberg, A. 3 2018 Relative asymptotics of orthogonal polynomials for perturbed measures. Zbl 1395.30039 Saff, E. B.; Stylianopoulos, N. 2 2018 Logarithmic and Riesz equilibrium for multiple sources on the sphere: the exceptional case. Zbl 1405.31007 Brauchart, Johann S.; Dragnev, Peter D.; Saff, Edward B.; Womersley, Robert S. 2 2018 Next order energy asymptotics for Riesz potentials on flat tori. Zbl 1405.31008 P. Hardin, Douglas; B. Saff, Edward; Z. Simanek, Brian; Su, Yujian 10 2017 A minimum principle for potentials with application to Chebyshev constants. Zbl 1378.31003 Reznikov, A.; Saff, E. B.; Vlasiuk, O. V. 5 2017 Energy bounds for codes and designs in Hamming spaces. Zbl 1381.94137 Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M. 4 2017 Universal lower bounds on energy and LP-extremal polynomials for \((4, 24)\)-codes. Zbl 1439.94105 Boyvalenkov, Peter; Dragnev, Peter; Hardin, Douglas; Saff, Edward; Stoyanova, Maya 2 2017 Generating point configurations via hypersingular Riesz energy with an external field. Zbl 1361.31007 Hardin, Doug P.; Saff, Edward B.; Vlasiuk, Oleksandr V. 2 2017 A comparison of popular point configurations on \(\mathbb S^2\). Zbl 1370.31001 Hardin, D. P.; Michaels, T.; Saff, E. B. 21 2016 Universal lower bounds for potential energy of spherical codes. Zbl 1404.94154 Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M. 19 2016 The covering radius of randomly distributed points on a manifold. Zbl 1404.60005 Reznikov, A.; Saff, Edward B. 12 2016 Minimum Riesz energy problems for a condenser with touching plates. Zbl 1338.31008 Dragnev, P. D.; Fuglede, B.; Hardin, Doug P.; Saff, Edward B.; Zorii, Natalia 8 2016 Covering of spheres by spherical caps and worst-case error for equal weight cubature in Sobolev spaces. Zbl 1325.65037 Brauchart, J. S.; Dick, J.; Saff, E. B.; Sloan, I. H.; Wang, Y. G.; Womersley, R. S. 14 2015 Universal upper and lower bounds on energy of spherical designs. Zbl 1370.31003 Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M. 10 2015 Orthogonal polynomials for area-type measures and image recovery. Zbl 1320.30064 Saff, E. B.; Stahl, H.; Stylianopoulos, N.; Totik, V. 7 2015 Inverse Bernstein inequalities and min-max-min problems on the unit circle. Zbl 1357.30002 Erdélyi, Tamás; Hardin, Douglas P.; Saff, Edward B. 5 2015 On the zeros of asymptotically extremal polynomial sequences in the plane. Zbl 1312.31011 Saff, E. B.; Stylianopoulos, N. 5 2015 QMC designs: optimal order quasi Monte Carlo integration schemes on the sphere. Zbl 1315.65003 Brauchart, J. S.; Saff, E. B.; Sloan, I. H.; Womersley, R. S. 44 2014 Riesz external field problems on the hypersphere and optimal point separation. Zbl 1307.31010 Brauchart, Johann S.; Dragnev, Peter D.; Saff, Edward B. 17 2014 Periodic discrete energy for long-range potentials. Zbl 1310.74022 Hardin, D. P.; Saff, E. B.; Simanek, B. 15 2014 Low complexity methods for discretizing manifolds via Riesz energy minimization. Zbl 1304.31006 Borodachov, S. V.; Hardin, D. P.; Saff, E. B. 14 2014 Mesh ratios for best-packing and limits of minimal energy configurations. Zbl 1349.31004 Bondarenko, A. V.; Hardin, D. P.; Saff, E. B. 11 2014 Asymptotics for Hessenberg matrices for the Bergman shift operator on Jordan regions. Zbl 1315.47029 Saff, Edward B.; Stylianopoulos, Nikos 5 2014 Reverse triangle inequalities for Riesz potentials and connections with polarization. Zbl 1327.31018 Pritsker, I. E.; Saff, E. B.; Wise, W. 2 2014 An electrostatics problem on the sphere arising from a nearby point charge. Zbl 1422.31004 Brauchart, Johann S.; Dragnev, Peter D.; Saff, Edward B. 1 2014 Characterizing kernels of operators related to thin-plate magnetizations via generalizations of Hodge decompositions. Zbl 1334.78017 Baratchart, L.; Hardin, D. P.; Lima, E. A.; Saff, E. B.; Weiss, B. P. 19 2013 Riesz polarization inequalities in higher dimensions. Zbl 1282.31003 Erdélyi, Tamás; Saff, Edward B. 17 2013 Polarization optimality of equally spaced points on the circle for discrete potentials. Zbl 1271.30001 Hardin, Douglas P.; Kendall, Amos P.; Saff, Edward B. 16 2013 Determining singularities using rows of Pade-orthogonal approximants. Zbl 1290.30040 Bosuwan, Nattapong; Lagomasino, Guillermo López; Saff, Edward B. 7 2013 Andrei Aleksandrovich Gonchar November 21, 1931 – October 10, 2012. Zbl 1279.01042 López Lagomasino, Guillermo; Finkelshtein, Andrei Martínez; Nevai, Paul; Saff, Edward B. 2 2013 The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere. Zbl 1318.31011 Brauchart, J. S.; Hardin, D. P.; Saff, E. B. 46 2012 Discrete energy asymptotics on a Riemannian circle. Zbl 1324.31006 Brauchart, Johann S.; Hardin, Douglas P.; Saff, Edward B. 12 2012 Quasi-uniformity of minimal weighted energy points on compact metric spaces. Zbl 1301.28004 Hardin, D. P.; Saff, E. B.; Whitehouse, J. T. 10 2012 A fascinating polynomial sequence arising from an electrostatics problem on the sphere. Zbl 1299.30007 Brauchart, J. S.; Dragnev, P. D.; Saff, E. B.; van de Woestijne, C. E. 7 2012 On finite-term recurrence relations for Bergman and Szegő polynomials. Zbl 1267.30011 Baratchart, Laurent; Saff, Edward B.; Stylianopoulos, Nikos S. 3 2012 Borcea’s variance conjectures on the critical points of polynomials. Zbl 1291.30036 Khavinson, Dmitry; Pereira, Rajesh; Putinar, Mihai; Saff, Edward B.; Shimorin, Serguei 4 2011 Andrei Aleksandrovich Gonchar (on his 80th birthday). Zbl 1236.01017 Aptekarev, A. I.; Lagomasino, G. L.; Saff, E. B.; Stahl, H.; Totik, V. 2 2011 Logarithmic potential theory with applications to approximation theory. Zbl 1285.30020 Saff, E. B. 19 2010 Asymptotics of greedy energy points. Zbl 1202.31008 López García, A.; Saff, E. B. 10 2010 Remarks on relative asymptotics for general orthogonal polynomials. Zbl 1211.42026 Saff, E. B. 7 2010 Bergman polynomials on an archipelago: estimates, zeros and shape reconstruction. Zbl 1194.42030 Gustafsson, Björn; Putinar, Mihai; Saff, Edward B.; Stylianopoulos, Nikos 36 2009 Higher-order three-term recurrences and asymptotics of multiple orthogonal polynomials. Zbl 1189.41007 Aptekarev, A. I.; Kalyagin, V. A.; Saff, E. B. 30 2009 The Riesz energy of the \(N\)th roots of unity: an asymptotic expansion for large \(N\). Zbl 1175.30003 Brauchart, J. S.; Hardin, D. P.; Saff, E. B. 19 2009 Riesz extremal measures on the sphere for axis-supported external fields. Zbl 1175.31004 Brauchart, J. S.; Dragnev, P. D.; Saff, E. B. 17 2009 Riesz energy and sets of revolution in \(\mathbb R^3\). Zbl 1185.28008 Brauchart, Johann S.; Hardin, Douglas P.; Saff, Edward B. 3 2009 Reverse triangle inequalities for potentials. Zbl 1172.30003 Pritsker, I. E.; Saff, E. B. 2 2009 Asymptotics for discrete weighted minimal Riesz energy problems on rectifiable sets. Zbl 1145.11059 Borodachov, S. V.; Hardin, D. P.; Saff, E. B. 41 2008 Bergman orthogonal polynomials on an archipelago. (Les polynômes orthogonaux de Bergman sur un archipel.) Zbl 1197.42013 Gustafsson, Björn; Putinar, Mihai; Saff, Edward B.; Stylianopoulos, Nikos 3 2008 Asymptotics of weighted best-packing on rectifiable sets. Zbl 1192.28002 Borodachov, S. V.; Hardin, D. P.; Saff, E. B. 3 2008 Asymptotics for polynomial zeros: Beware of predictions from plots. Zbl 1163.30010 Saff, Edward B.; Stylianopoulos, Nikos S. 3 2008 Riesz spherical potentials with external fields and minimal energy points separation. Zbl 1115.31003 Dragnev, P. D.; Saff, E. B. 27 2007 On separation of minimal Riesz energy points on spheres in Euclidean spaces. Zbl 1110.49003 Kuijlaars, A. B. J.; Saff, E. B.; Sun, X. 17 2007 Asymptotics of best-packing on rectifiable sets. Zbl 1124.28004 Borodachov, S. V.; Hardin, D. P.; Saff, E. B. 13 2007 Support of the logarithmic equilibrium measure on sets of revolution in \(\mathbb R^3\). Zbl 1121.82004 Hardin, D. P.; Saff, E. B.; Stahl, H. 8 2007 Zero distribution of Müntz extremal polynomials in \(L_p[ 0,1]\). Zbl 1173.41001 Lubinsky, D. S.; Saff, E. B. 5 2007 The support of the limit distribution of optimal Riesz energy points on sets of revolution in \(\mathbb R^3\). Zbl 1153.81328 Brauchart, J. S.; Hardin, D. P.; Saff, E. B. 4 2007 Szegő orthogonal polynomials with respect to an analytic weight: Canonical representation and strong asymptotics. Zbl 1135.42326 Martínez-Finkelshtein, A.; McLaughlin, K. T.-R.; Saff, E. B. 30 2006 Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle. Zbl 1135.42325 Martınez-Finkelshtein, A.; McLaughlin, K. T.-R.; Saff, E. B. 17 2006 Potential theoretic tools in polynomial and rational approximation. Zbl 1146.41001 Levin, Eli; Saff, Edward B. 16 2006 2D inverse problems for the Laplacian: a meromorphic approximation approach. Zbl 1106.35129 Baratchart, L.; Mandréa, F.; Saff, E. B.; Wielonsky, F. 9 2006 A Remez-type theorem for homogeneous polynomials. Zbl 1112.41011 Kroó, A.; Saff, E. B.; Yattselev, M. 3 2006 Minimal Riesz energy point configurations for rectifiable \(d\)-dimensional manifolds. Zbl 1192.49048 Hardin, D. P.; Saff, E. B. 49 2005 Zero distributions for polynomials orthogonal with weights over certain planar regions. Zbl 1098.30009 Miña-Díaz, Erwin; Saff, Edward B.; Stylianopoulos, Nikos S. 13 2005 Discretizing manifolds via minimum energy points. Zbl 1095.49031 Hardin, D. P.; Saff, E. B. 88 2004 Asymptotics for minimal discrete Riesz energy on curves in \(\mathbb{R}^d\). Zbl 1073.31007 Martínez-Finkelshtein, A.; Maymeskul, V.; Rakhmanov, E. A.; Saff, E. B. 26 2004 On Blaschke products associated with \(n\)-widths. Zbl 1043.30018 Baratchart, L.; Prokhorov, V. A.; Saff, E. B. 2 2004 Zero distribution of Bergman orthogonal polynomials for certain planar domains. Zbl 1027.30009 Levin, A. L.; Saff, E. B.; Stylianopoulos, N. S. 13 2003 Zeros of polynomials orthogonal over regular \(N\)-gons. Zbl 1036.30026 Maymeskul, V.; Saff, E. B. 8 2003 Determining radii of meromorphy via orthogonal polynomials on the unit circle. Zbl 1051.30033 Barrios Rolanía, D.; López Lagomasino, G.; Saff, E. B. 3 2003 Asymptotic properties of Heine–Stieltjes and Van Vleck polynomials. Zbl 1099.33502 Martínez-Finkelshtein, A.; Saff, E. B. 17 2002 \(L^2\)-approximations of power and logarithmic functions with applications to numerical conformal mapping. Zbl 1004.30005 Maymeskul, V. V.; Saff, E. B.; Stylianopoulos, N. S. 5 2002 Asymptotic distribution of nodes for near-optimal polynomial interpolation on certain curves in \(\mathbb{R}^2\). Zbl 1004.30004 Götz, M.; Maymeskul, V. V.; Saff, E. B. 3 2002 Best meromorphic approximation of Markov functions on the unit circle. Zbl 1053.41019 Baratchart, L.; Prokhorov, V. A.; Saff, E. B. 8 2001 Asymptotics of orthogonal polynomials inside the unit circle and Szegő-Padé approximants. Zbl 1009.42016 Barrios Rolanía, D.; López Lagomasino, G.; Saff, E. B. 7 2001 Zero location for nonstandard orthogonal polynomials. Zbl 1011.42013 Duran, A. J.; Saff, E. B. 7 2001 Note on \(d\)-extremal configurations for the sphere in \(\mathbb{R}^{d+1}\). Zbl 0988.31004 Götz, Mario; Saff, Edward B. 5 2001 Asymptotics for minimal Blaschke products and best \(L_1\) meromorphic approximants of Markov functions. Zbl 1038.41005 Baratchart, Laurent; Prokhorov, Vasiliy A.; Saff, Edward B. 3 2001 An extension of E. Bishop’s localization theorem. Zbl 0977.30021 Danielyan, A. A.; Saff, E. B. 1 2001 The distribution of zeros and poles of asymptotically extremal rational functions for Zolotarev’s problem. Zbl 0988.41010 Levin, A. L.; Saff, E. B. 1 2001 ...and 169 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,011 Authors 134 Saff, Edward Barry 90 Lubinsky, Doron S. 45 Kuijlaars, Arno B. J. 45 Totik, Vilmos 38 Hardin, Douglas P. 31 Andrievskii, Vladimir V. 31 López Lagomasino, Guillermo Tomás 28 Dragnev, Peter D. 28 Martínez-Finkelshtein, Andrei 27 Pritsker, Igor E. 26 Mhaskar, Hrushikesh N. 24 Blatt, Hans-Peter 22 Baratchart, Laurent 22 Brauchart, Johann S. 22 Van Assche, Walter 22 Zorii, Natalia 21 Bloom, Thomas 20 Varga, Richard Steven 18 Wielonsky, Franck 17 Aptekarev, Alexander Ivanovich 17 Stahl, Herbert Robert 16 Ameur, Yacin 16 Driver, Kathy A. 16 Graves-Morris, Peter R. 16 Levenberg, Norman jun. 16 Serfaty, Sylvia 15 Erdélyi, Tamás 14 Boĭvalenkov, Pet”r Georgiev 14 Orive Rodríguez, Ramón Angel 13 Beltrán, Carlos E. 13 Bertola, Marco 13 Dehesa, Jesús S. 13 Le Gia, Quoc Thong 13 Levin, A. L. 13 McLaughlin, Kenneth D. T.-R. 13 Sidi, Avram 13 Stylianopoulos, Nikos S. 13 Trefethen, Lloyd Nicholas 13 Yattselev, Maxim L. 12 Buslaev, Viktor Ivanovich 12 Chafaï, Djalil 12 Damelin, Steven Benjamin 12 Iserles, Arieh 12 Miña-Díaz, Erwin 12 Simon, Barry 12 Sloan, Ian Hugh 11 Bosuwan, Nattapong 11 Byun, Sung-Soo 11 Charlier, Christophe 11 Kovacheva, Ralitsa Krumova 11 Kroó, András 11 Levin, Eli 11 Mastroianni, Giuseppe 11 Pijeira-Cabrera, Héctor 11 Simanek, Brian Z. 10 Beckermann, Bernhard 10 Bello Hernández, Manuel 10 Bleher, Pavel M. 10 Leblond, Juliette 10 Nagy, Béla 10 Stoyanova, Maya M. 9 Berman, Robert J. 9 Bétermin, Laurent 9 Carrillo de la Plata, José Antonio 9 Ismail, Mourad El-Houssieny 9 Reichel, Lothar 9 Seo, Seong-Mi 9 Womersley, Robert S. 8 Alpan, Gökalp 8 Claeys, Tom 8 Deift, Percy A. 8 Delvaux, Steven 8 Etayo, Ujué 8 Gerhards, Christian 8 Geronimo, Jeffrey S. 8 Grabner, Peter J. 8 Horváth, Ágota P. 8 Jones, William Branham 8 Jordaan, Kerstin 8 López García, Abey 8 Mora, Maria Giovanna 8 Njåstad, Olav 8 Peherstorfer, Franz 8 Petersen, Vigdis Brevik 8 Prokhorov, Vasily A. 8 Putinar, Mihai 8 Rakhmanov, Evgenij Andreevich 8 Sri Ranga, Alagacone 8 Starovoĭtov, Aleksandr Pavlovich 8 Wang, Yuguang 8 Zinchenko, Maxim 7 Bilyk, Dmitry 7 Borodachov, Sergiy V. 7 Deaño, Alfredo 7 Díaz-Mendoza, Carlos 7 Dick, Josef 7 Durán, Antonio José 7 Ganzburg, Michael Iosifovich 7 Gräf, Manuel 7 Grothmann, René ...and 1,911 more Authors all top 5 Cited in 384 Serials 319 Journal of Approximation Theory 151 Journal of Computational and Applied Mathematics 150 Constructive Approximation 92 Journal of Mathematical Analysis and Applications 56 Computational Methods and Function Theory 48 Proceedings of the American Mathematical Society 42 Communications in Mathematical Physics 37 Transactions of the American Mathematical Society 34 Journal d’Analyse Mathématique 34 Potential Analysis 32 Numerische Mathematik 27 Journal of Mathematical Physics 27 Advances in Mathematics 27 Numerical Algorithms 25 Mathematics of Computation 24 Acta Mathematica Hungarica 23 Journal of Statistical Physics 23 Applied Mathematics and Computation 22 Linear Algebra and its Applications 20 Journal of Computational Physics 19 Rocky Mountain Journal of Mathematics 19 Journal of Functional Analysis 19 Applied Numerical Mathematics 18 Mathematical Notes 17 Communications on Pure and Applied Mathematics 17 Analysis and Mathematical Physics 16 Computers & Mathematics with Applications 16 Journal of Complexity 14 Advances in Computational Mathematics 12 Discrete & Computational Geometry 12 Sbornik: Mathematics 11 Indagationes Mathematicae. 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