Most cited papers in Analytic and geometric function theory
What are the most cited papers in Analytic and geometric function theory?
The most cited paper in Analytic and geometric function theory is "Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree" (Holger Wendland, 1995), with 3,058 citations. Next come "Quasiconformal maps in metric spaces with controlled geometry" (942) and "Subclasses of univalent functions" (851).
Showing 50 of 100 papers. Every paper with more than 224 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree Holger Wendland · Advances in Computational Mathematics | Dec 1995 | 3,058 |
| 2 | Quasiconformal maps in metric spaces with controlled geometry Juha Heinonen, Pekka Koskela · Acta Mathematica | 1998 | 942 |
| 3 | Subclasses of univalent functions Grigore Stefan Sǎlǎgean · Lecture notes in mathematics | 1983 | 851 |
| 4 | The Lp-integrability of the partial derivatives of A quasiconformal mapping F. W. Gehring · Acta Mathematica | 1973 | 792 |
| 5 | On the variation in the cohomology of the symplectic form of the reduced phase space J. J. Duistermaat, Gerrit Heckman · Inventiones mathematicae | Jun 1982 | 791 |
| 6 | Certain subclasses of analytic and bi-univalent functions H. M. Srivastava, Akshaya Kumar Mishra, P. Gochhayat · Applied Mathematics Letters | 28 May 2010 | 739 |
| 7 | A class of almost contact Riemannian manifolds Katsuei Kenmotsu · Tohoku Mathematical Journal | 1972 | 706 |
| 8 | An optimal Poincaré inequality for convex domains Lawrence Edward Payne, Hans F. Weinberger · Archive for Rational Mechanics and Analysis | 1960 | 672 |
| 9 | The boundary correspondence under quasiconformal mappings Arne Beurling, Lars Valerian Ahlfors · Acta Mathematica | 1956 | 602 |
| 10 | A MULTIPLE RIBOSOMAL STRUCTURE IN PROTEIN SYNTHESIS Jonathan R. Warner, Paul M. Knopf, Alexander Rich · Proceedings of the National Academy of Sciences | 1963 | 590 |
| 11 | Quasiconformal mappings and extendability of functions in sobolev spaces Peter W. Jones · Acta Mathematica | 1981 | 562 |
| 12 | Regularity Results for a Class of Functionals with Non-Standard Growth E. Acerbi, Giuseppe Mingione · Archive for Rational Mechanics and Analysis | Feb 2001 | 544 |
| 13 | Quasi-conformal mappings in n -space and the rigidity of hyperbolic space forms George Daniel Mostow · Publications mathématiques de l IHÉS | 7 Jan 1968 | 514 |
| 14 | On the evolution of harmonic mappings of Riemannian surfaces Michaël Struwe · Commentarii Mathematici Helvetici | Dec 1985 | 499 |
| 15 | On h-convexity Sanja Varošanec · Journal of Mathematical Analysis and Applications | 6 Apr 2006 | 499 |
| 16 | On the regularity of the minima of variational integrals Mariano Giaquinta, Enrico Giusti · Acta Mathematica | 1982 | 496 |
| 17 | Functions Starlike and Convex of Order α I. S. Jack · Journal of the London Mathematical Society | Apr 1971 | 494 |
| 18 | Characteristic functions Helen Cramer · Cambridge University Press eBooks | 31 Jan 1970 | 480 |
| 19 | On uniformly convex functions A. W. Goodman · Annales Polonici Mathematici | 1991 | 465 |
| 20 | A sharp Trudinger–Moser type inequality for unbounded domains in R2 Bernhard Ruf · Journal of Functional Analysis | Feb 2005 | 457 |
| 21 | On some inequalities for the gamma and psi functions Horst Alzer · Mathematics of Computation | 1997 | 455 |
| 22 | New subclasses of bi-univalent functions Basem Aref Frasin, M. K. Aouf · Applied Mathematics Letters | 15 Apr 2011 | 452 |
| 23 | A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces Wilhelm Kaup · Mathematische Zeitschrift | Dec 1983 | 441 |
| 24 | Teichm�ller curves in moduli space, Eisenstein series and an application to triangular billiards William A. Veech · Inventiones mathematicae | Oct 1989 | 441 |
| 25 | Operators of Basic (or q-) Calculus and Fractional q-Calculus and Their Applications in Geometric Function Theory of Complex Analysis H. M. Srivastava · Iranian Journal of Science and Technology Transactions A Science | 27 Jan 2020 | 439 |
| 26 | Uniform domains and the quasi-hyperbolic metric F. W. Gehring, Brad G. Osgood · Journal d Analyse Mathématique | Dec 1979 | 429 |
| 27 | COMMUTATORS OF SINGULAR INTEGRAL OPERATORS A. P. Calderón · Proceedings of the National Academy of Sciences | May 1965 | 427 |
| 28 | Second order differential inequalities in the complex plane Sanford S. Miller, Petru T. Mocanu · Journal of Mathematical Analysis and Applications | Sep 1978 | 426 |
| 29 | Conic regions and k-uniform convexity S. Kanas, A. Wiśniowska · Journal of Computational and Applied Mathematics | May 1999 | 419 |
| 30 | Conformal invariants and function-theoretic null-sets Lars Valerian Ahlfors, Arne Beurling · Acta Mathematica | 1950 | 415 |
| 31 | Fractional Laplacian in conformal geometry Sun‐Yung A. Chang, María del Mar González · Advances in Mathematics | 11 Sep 2010 | 411 |
| 32 | Lie groups and teichmüller space Nigel James Hitchin · Topology | Jul 1992 | 409 |
| 33 | Subordinants of differential superordinations Sanford S. Miller, Petru T. Mocanu · Complex Variables Theory and Application An International Journal | Oct 2003 | 408 |
| 34 | Univalent and Starlike Generalized Hypergeometric Functions Shigeyoshi Owa, H. M. Srivastava · Canadian Journal of Mathematics | Oct 1987 | 398 |
| 35 | Conformally natural extension of homeomorphisms of the circle Adrien Douady, Clifford J. Earle · Acta Mathematica | 1986 | 392 |
| 36 | The convergence of circle packings to the Riemann mapping Burt Rodin, Dennis Sullivan · Journal of Differential Geometry | 1987 | 390 |
| 37 | ON SOME CLASSES OF BI-UNIVALENT FUNCTIONS David Alexander Brannan, T.S. Taha · Elsevier eBooks | 1988 | 383 |
| 38 | Quadratic differentials and foliations John Hamal Hubbard, Howard Masur · Acta Mathematica | 1979 | 376 |
| 39 | On a conjecture of De Giorgi and some related problems Nassif Ghoussoub, Changfeng Gui · Mathematische Annalen | Jul 1998 | 370 |
| 40 | Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates Gary G. Gundersen · Journal of the London Mathematical Society | Feb 1988 | 359 |
| 41 | Classes of analytic functions associated with the generalized hypergeometric function Jacek Dziok, H. M. Srivastava · Applied Mathematics and Computation | Aug 1999 | 359 |
| 42 | Conformal deformation of metrics on $S^2$ Sun‐Yung A. Chang, Paul C.-P. Yang · Journal of Differential Geometry | 1988 | 355 |
| 43 | On the Coefficients and Hankel Determinants of Univalent Functions Ch. Pommerenke · Journal of the London Mathematical Society | 1966 | 351 |
| 44 | Existence theorem for a minimum problem with free discontinuity set Ennio De Giorgi, M. Carriero, Antonio Leaci · Archive for Rational Mechanics and Analysis | Nov 1989 | 348 |
| 45 | Geometric Measure Theory Janina Kotus, Mariusz Urbański · Cambridge University Press eBooks | 28 Feb 2023 | 346 |
| 46 | GFUN Bruno Salvy, Paul A. Zimmermann · ACM Transactions on Mathematical Software | Jun 1994 | 339 |
| 47 | Extremal polynomials associated with a system of curves in the complex plane Harold Widom · Advances in Mathematics | Apr 1969 | 329 |
| 48 | Asymptotics for the minimization of a Ginzburg-Landau functional Fabrice Béthuel, Haïm Brézis, Fr�d�ric H�lein · Calculus of Variations and Partial Differential Equations | May 1993 | 313 |
| 49 | On uniformly starlike functions A. W. Goodman · Journal of Mathematical Analysis and Applications | Mar 1991 | 313 |
| 50 | Area distortion of quasiconformal mappings Kari Astala · Acta Mathematica | 1994 | 311 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.