Bibliography for the Bieberbach Conjecture

unabridged

 

  1. On the Bieberbach conjecture and holomorphic dynamics.  
    Buff, Xavier
    Proc. Amer. Math. Soc.  131  (2003),  no. 3, 755--759, MathSciNet.  
  2. Precise Coefficient Estimates for Close-to-Convex Harmonic Univalent Mappings
    Wang X-T.; Liang X-Q.; Zhang Y-L.
    Journal of Mathematical Analysis and Applications, November 2001, vol. 263, no. 2, pp. 501-509(9) , Ingenta  
  3. The Bieberbach conjecture and Milin's functionals.
    Grinshpan, Arcadii Z.
    Amer. Math. Monthly 106 (1999), no. 3, 203--214, Jstor.  
  4. A generalization of the Askey and Gasper inequality used by de Branges in his proof of the Milin, Robertson and Bieberbach conjectures.
    Todorov, P. G.
    C. R. Acad. Bulgare Sci. 52 (1999), no. 5-6, 17--20, MathSciNet.  
  5. De Branges-Rovnyak spaces---introduction from the Bieberbach conjecture. (Japanese)
    Ohno, Shûichi
    Properties of partial sums of analytic functions (Kyoto, 1999). Surikaisekikenkyusho Kokyuroku No. 1112 (1999), 70--85, MathSciNet.
  6. The Bieberbach conjecture.
    Gong, Sheng
    Translated from the 1989 Chinese original and revised by the author. With preface by Carl H. FitzGerald.
    AMS/IP Studies in Advanced Mathematics, 12. American Mathematical Society, Providence, RI; International Press, Cambridge, MA, 1999. xiv+201 pp. ISBN: 0-8218-0655-6, MathSciNet.  
  7. A new proof of the final stage of the proof of the Milin, Robertson and Bieberbach conjectures which does not use the Askey and Gasper inequality.
    Todorov, Pavel G.
    Acad. Roy. Belg. Bull. Cl. Sci. (6) 9 (1998), no. 7-12, 349--359, MathSciNet.  
  8. Fatou-Bieberbach Domains with C^infinity-Smooth Boundary  
    Berit Stensones  
    The Annals of Mathematics, 2nd Ser., Vol. 145, No. 2. (Mar., 1997), pp. 365-377, Jstor.  
  9. Some systems theorems arising from the Bieberbach conjecture.
    Helton, J. William; Weening, Frederick
    Internat. J. Robust Nonlinear Control 6 (1996), no. 1, 65--82, MathSciNet.
  10. The Bieberbach conjecture. Special functions (Torino, 1993).
    Smith, H. V.
    Ann. Numer. Math. 2 (1995), no. 1-4, 407--413, MathSciNet.
  11. A simple hand verification of the Bieberbach conjecture for a2n.
    Todorov, Pavel G.
    Acad. Roy. Belg. Bull. Cl. Sci. (6) 5 (1994), no. 1-6, 167--176, MathSciNet.
  12. A high-school algebra, "formal calculus", proof of the Bieberbach conjecture [after L. Weinstein].
    Ekhad, Shalosh B.; Zeilberger, Doron
    Jerusalem combinatorics '93, 113--115, Contemp. Math., 178, Amer. Math. Soc., Providence, RI, 1994, MathSciNet.
  13. Von der Bieberbachschen Vermutung zum Satz von de Branges sowie der Beweisvariante von Weinstein. (German) [From Bieberbach's conjecture to the theorem of de Branges and the alternative proof of Weinstein]
    Koepf, Wolfram
    Jahrbuch Überblicke Mathematik, 1994, 175--193, Vieweg, Braunschweig, 1994, MathSciNet.
  14. A simple proof of the Bieberbach conjecture.
    Todorov, Pavel G.
    Liet. Mat. Rink. 33 (1993), no. 4, 498--507; translation in Lithuanian Math. J. 33 (1993), no. 4, 385--392, MathSciNet.
  15. A simple proof of the Bieberbach conjecture.
    Todorov, Pavel G.
    Serdica 19 (1993), no. 2-3, 204--214, MathSciNet.
  16. A simple proof of the Bieberbach conjecture.
    Todorov, Pavel G.
    Acad. Roy. Belg. Bull. Cl. Sci. (6) 3 (1992), no. 12, 335--346, MathSciNet.
  17. A short, elementary, and easy, WZ proof of the Askey-Gasper inequality that was used by de Branges in his proof of the Bieberbach conjecture.
    Ekhad, Shalosh B.
    Conference on Formal Power Series and Algebraic Combinatorics (Bordeaux, 1991). Theoret. Comput. Sci. 117 (1993), no. 1-2, 199--202, MathSciNet.
  18. The Bieberbach conjecture.
    Weinstein, Lenard
    Internat. Math. Res. Notices 1991, no. 5, 61--64, MathSciNet.
  19. The Bieberbach conjecture and logarithmic coefficients of univalent functions. (Russian)
    Aleksandrov, I. A.; Milin, I. M.
    Izv. Vyssh. Uchebn. Zaved. Mat. 1989, , no. 8, 3--15; translation in Soviet Math. (Iz. VUZ) 33 (1989), no. 8, 1--17, MathSciNet.
  20. Special Functions and the Bieberbach Conjecture  
    Nicholas D. Kazarinoff  
    American Mathematical Monthly, Vol. 95, No. 8. (Oct., 1988), pp. 689-696, Jstor.  
  21. Underlying concepts in the proof of the Bieberbach conjecture. A plenary address presented at the International Congress of Mathematicians held in Berkeley, California, August 1986. Introduced by Max M. Schiffer.
    de Branges, Louis
    ICM Series. American Mathematical Society, Providence, RI, 1988. 1 videocassette (NTSC; 1/2 inch; VHS) (60 min.), MathSciNet.
  22. Proof of Bieberbach's conjecture: a survey.
    Uluçay, Cengiz
    Comm. Fac. Sci. Univ. Ankara Ser. A1 Math. Statist. 36 (1987), no. 1, 1--6 (1988), MathSciNet.
  23. The Bieberbach conjecture. (Spanish)  
    Suárez, Pedro A.
    Rev. Mat. Dominicana  No. 3-4 (1987), 20--38, MathSciNet.
  24. De Branges' proof of the Bieberbach conjecture: a view from computational analysis.
    Henrici, Peter
    Sitzungsberichte der Berliner Mathematischen Gesellschaft, 105--121, Freie Univ. Berlin, Berlin, 1987, MathSciNet.
  25. de Branges' proof of the I. M. Milin conjecture and the L. Bieberbach conjecture. (Russian)
    Aleksandrov, I. A. L.
    Sibirsk. Mat. Zh. 28 (1987), no. 2, 7--20, 223, MathSciNet.
  26. The Bieberbach conjecture. (Catalan)
    Cufí, Julià
    Butl. Soc. Catalana Mat. No. 1 (1987), 14--21, MathSciNet.
  27. de Branges' proof of the Bieberbach conjecture.
    Steinmetz, Norbert
    General inequalities, 5 (Oberwolfach, 1986), 3--16, Internat. Schriftenreihe Numer. Math., 80, Birkhäuser, Basel, 1987, MathSciNet.
  28. Underlying concepts in the proof of the Bieberbach conjecture.  
    de Branges, Louis
    Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986),  25--42, Amer. Math. Soc., Providence, RI, 1987, MathSciNet.
  29. The Bieberbach Conjecture  
    Paul Zorn  
    Mathematics Magazine, Vol. 59, No. 3. (Jun., 1986), pp. 131-148, Jstor.  
  30. Ludwig Bieberbach's Conjecture and Its Proof by Louis de Branges  
    J. Korevaar  
    American Mathematical Monthly, Vol. 93, No. 7. (Aug. - Sep., 1986), pp. 505-514, Jstor.  
  31. The Last 100 Days of the Bieberbach Conjecture  
    Fomenko, O. M. and G. V. Kuz'mina  
    Math. Intell., (1986), V. 8, No. 1, pp. 40-47.
  32. The Bieberbach conjecture and its impact on the developments in geometric function theory.
    Ahuja, O. P.
    Math. Chronicle 15 (1986), 1--28, MathSciNet.
  33. A group theoretic interpretation of the last part of de Branges' proof of the Bieberbach conjecture.
    Koornwinder, Tom H.
    Complex Variables Theory Appl. 6 (1986), no. 2-4, 309--321, MathSciNet.
  34. The Bieberbach conjecture, 1916--1984. (Polish)
    Zemánek, Jaroslav
    Wiadom. Mat. 27 (1986), no. 1, 1--13, MathSciNet.
  35. From Bieberbach's conjecture to de Branges' proof.
    Janson, Svante
    Exposition. Math. 4 (1986), no. 1, 87--96, MathSciNet.
  36. From Bieberbach's conjecture to de Branges' theorem. (Norwegian)
    Waadeland, Haakon
    Normat 34 (1986), no. 3, 97--112, 136, MathSciNet.
  37. The Bieberbach conjecture. (Czech)
    Pommerenke, Christian
    Translated from the English by Josef Dane\v s. Pokroky Mat. Fyz. Astronom. 31 (1986), no. 4, 208--213, MathSciNet.
  38. On the solution of Bieberbach's conjecture. (Japanese)
    Kimura, Shigeru
    Bull. Fac. Ed. Utsunomiya Univ. Sect. 2 No. 36 (1986), 11--17, MathSciNet.
  39. My reaction to de Branges's proof of the Bieberbach conjecture.
    Askey, Richard
    The Bieberbach conjecture (West Lafayette, Ind., 1985), 213--215, Math. Surveys Monogr., 21, Amer. Math. Soc., Providence, RI, 1986, MathSciNet.
  40. The Bieberbach conjecture.
    Edited by Albert Baernstein II, David Drasin, Peter Duren and Albert Marden.
    Proceedings of the symposium on the occasion of the proof of the Bieberbach conjecture held at Purdue University, West Lafayette, Ind., March 11--14, 1985. Mathematical Surveys and Monographs, 21. American Mathematical Society, Providence, RI, 1986. xvi+218 pp. ISBN: 0-8218-1521-0 30-06, MathSciNet.
  41. Démonstration de la conjecture de Bieberbach (d'après L. de Branges). (French) [Proof of the Bieberbach conjecture (following L. de Branges)]
    Oesterlé, Joseph
    Seminar Bourbaki, Vol. 1984/85. Astérisque No. 133-134 (1986), 319--334, MathSciNet.
  42. The history of Bieberbach's conjecture and its recent solution.
    Padmanabhan, K. S.
    Fiftieth Conference of the Indian Mathematical Society (Vallabhvidyanagar, 1985). Math. Student 53 (1985), no. 1-4, 209--216 (1987), MathSciNet.
  43. Reminiscences of my involvement in de Branges's proof of the Bieberbach conjecture.
    Gautschi, Walter
    The Bieberbach conjecture (West Lafayette, Ind., 1985), 205--211, Math. Surveys Monogr., 21, Amer. Math. Soc., Providence, RI, 1986, MathSciNet.
  44. The story of the verification of the Bieberbach conjecture.
    de Branges, Louis
    The Bieberbach conjecture (West Lafayette, Ind., 1985), 199--203, Math. Surveys Monogr., 21, Amer. Math. Soc., Providence, RI, 1986, MathSciNet.
  45. Problems in mathematical physics connected with the Bieberbach conjecture.
    Garabedian, P. R.
    The Bieberbach conjecture (West Lafayette, Ind., 1985), 79--83, Math. Surveys Monogr., 21, Amer. Math. Soc., Providence, RI, 1986, MathSciNet.
  46. A Proof of the Bieberbach Conjecture  
    de Branges, Louis
    Acta Mathematica, (1985), V. 154, no. 1-2, pp. 137-152, MathSciNet.
  47. The Bieberbach conjecture.
    Pommerenke, Ch.
    Math. Intelligencer 7 (1985), no. 2, 23--25, 32, MathSciNet.
  48. The Bieberbach conjecture: a summer drama.  
    Holland, Finbarr
    Irish Math. Soc. Newslett.  No. 13 (1985), 38--47, MathSciNet.
  49. The Bieberbach conjecture: retrospective.
    FitzGerald, Carl H.
    Notices Amer. Math. Soc. 32 (1985), no. 1, 2--6, MathSciNet.
  50. The de Branges proof of the Bieberbach conjecture. (Italian)
    Giusti, Enrico
    Archimede 37 (1985), no. 4, 163--173, MathSciNet.
  51. On the solution of the Bieberbach conjecture. (Japanese)
    Ozawa, Mitsuru
    Sugaku 37 (1985), no. 2, 164--168, MathSciNet.
  52. The Bieberbach conjecture. (Finnish)
    Haario, Heikki
    Arkhimedes 37 (1985), no. 2, 81--93, MathSciNet.
  53. The Bieberbach conjecture: retrospective. (Chinese)
    Shen, Xie Chang; Wu, Zhi Jian
    Translated from the English by the authors. Adv. in Math. (Beijing) 14 (1985), no. 3, 227--233, MathSciNet.
  54. The Bieberbach conjecture: retrospective.
    FitzGerald, Carl H.
    Reprinted from Notices Amer. Math. Soc. 32 (1985), no. 1, 2--6; MR 86a:30001. Bol. Soc. Paran. Mat. (2) 6 (1985), no. 2, 99--114, MathSciNet.
  55. Proof of the Bieberbach conjecture. (Portuguese)
    Zorn, Paul
    Translated from the English by Leo Barsotti. Bol. Soc. Paran. Mat. (2) 6 (1985), no. 2, 75--78, MathSciNet.
  56. Bieberbach's conjecture with a3 restricted.
    Alves, Mauriso
    Houston J. Math. 9 (1983), no. 3, 311--323, MathSciNet.
  57. The Bieberbach conjecture for restricted initial coefficients.
    Bshouty, Daoud
    Math. Z. 182 (1983), no. 2, 149--158, MathSciNet.
  58. Epilogue: the Bieberbach conjecture.
    Shaffer, Dorothy B.
    Topics in complex analysis (Fairfield, Conn., 1983), 139--141, Contemp. Math., 38, Amer. Math. Soc., Providence, RI, 1985, MathSciNet.
  59. A new proof of the Bieberbach conjecture for the third coefficient.
    Pell, Richard
    Complex Variables Theory Appl. 1 (1982/83), no. 2-3, 151--154, MathSciNet.
  60. On the Bieberbach conjecture for univalent functions and related results.
    Alves, Mauriso
    An. Acad. Brasil. Ciênc. 54 (1982), no. 2, 267--269, MathSciNet.
  61. The equivalence of two weak Bieberbach conjectures.
    Hamilton, David H.
    Math. Z. 181 (1982), no. 2, 191--195, MathSciNet.
  62. On the asymptotic Bieberbach conjecture.
    Alves, Mauriso; Cavalcante, Armando J. P.
    Internat. J. Math. Math. Sci. 5 (1982), no. 3, 537--543, MathSciNet.
  63. Inayat Bieberbach conjecture for univalent functions.
    Noor, K.
    Comment. Math. Univ. St. Paul. 30 (1981), no. 2, 131--133, MathSciNet.
  64. Bieberbach's conjecture for tourists.
    Baernstein, Albert, II
    Harmonic analysis (Minneapolis, Minn., 1981), pp. 48--73, Lecture Notes in Math., 908, Springer, Berlin-New York, 1982, MathSciNet.
  65. On the asymptotic Bieberbach conjecture for univalent functions with restricted second coefficient. (Chinese)
    Tan, De Lin
    Fudan Xuebao 20 (1981), no. 4, 475--478, MathSciNet.
  66. The Second Coefficient of Univalent Bieberbach-Eilenberg Functions Near the Identity  
    J. A. Hummel  
    Proceedings of the American Mathematical Society, Vol. 80, No. 2. (Oct., 1980), pp. 237-243, Jstor.  
  67. A simple proof of Bieberbach conjecture for sixth coefficient.
    Sheng, Gong
    Sci. Sinica 23 (1980), no. 1, 1--15, MathSciNet.
  68. The Bieberbach conjecture for univalent functions with restricted third coefficients. (Chinese)
    Ren, Fu Yao
    Sci. Sinica 1979, Special Issue I on Math., 275--280, MathSciNet.
  69. The Bieberbach conjecture for univalent functions with restricted second coefficient. (Chinese)
    Gong, Sheng
    Sci. Sinica 1979, Special Issue I on Math., 202--214, MathSciNet.
  70. The asymptotic Bieberbach conjecture for weakly p-valent functions.
    Higginson, C. G.
    Proc. London Math. Soc. (3) 35 (1977), no. 2, 291--312, MathSciNet.
  71. On the Bieberbach conjecture for multivalent functions.  
    Eke, B. G.
    J. London Math. Soc. (2)  13  (1976), no. 1, 19--26, MathSciNet.
  72. The Bieberbach conjecture for univalent functions with small second coefficients.
    Bishouty, Daoud H.
    Math. Z. 149 (1976), no. 2, 183--187, MathSciNet.
  73. Proof of Bieberbach's conjecture.
    Uluçay, C.
    Comm. Fac. Sci. Univ. Ankara Sér. A 22 (1973), 1--20, MathSciNet.
  74. The Bieberbach conjecture for univalent functions with restricted second coefficients.
    Ehrig, Gertraud
    J. London Math. Soc. (2) 8 (1974), 355--360, MathSciNet.
  75. Coefficient estimates concerning the Bieberbach conjecture.
    Ehrig, Gertraud
    Math. Z. 140 (1974), 111--126, MathSciNet.
  76. Bieberbach conjecture for the eighth coefficient. II.
    Ozawa, Mitsuru; Kubota, Yoshihisa
    Kodai Math. Sem. Rep. 25 (1973), 257--288, MathSciNet.
  77. On the Bieberbach conjecture for functions with a small second coefficient.
    Aharonov, Dov
    Israel J. Math. 15 (1973), 137--139, MathSciNet.
  78. A proof of the Bieberbach conjecture for the fourth coefficient.
    Ozawa, Mitsuru
    Kodai Math. Sem. Rep. 24 (1972), 506--512, MathSciNet.
  79. Bieberbach conjecture for the eighth coefficient.
    Ozawa, Mitsuru; Kubota, Yoshihisa
    Kodai Math. Sem. Rep. 24 (1972), 331--382, MathSciNet.
  80. A proof of the Bieberbach conjecture for the fifth coefficient.
    Pederson, R.; Schiffer, M.
    Arch. Rational Mech. Anal. 45 (1972), 161--193, MathSciNet.
  81. On the Computation of Some Grunsky Coefficients Relevant to the Bieberbach Conjecture  
    George G. Ross  
    Mathematics of Computation, Vol. 25, No. 116. (Oct., 1971), pp. 733-741+s1-s19, Jstor.  
  82. Proof of the Bieberbach conjecture for a certain class of univalent functions.
    Aharonov, Dov
    Israel J. Math. 8 1970 102--104, MathSciNet.
  83. An elementary proof of the Bieberbach conjecture for the sixth coefficient.
    Ozawa, Mitsuru
    Kodai Math. Sem. Rep. 21 1969 129--132, MathSciNet.
  84. On the Bieberbach conjecture for the sixth coefficient.
    Ozawa, Mitsuru
    Kodai Math. Sem. Rep. 21 1969 97--128, MathSciNet.
  85. A proof of the Bieberbach conjecture for the sixth coefficient.
    Pederson, Roger N.
    Arch. Rational Mech. Anal. 31 1968/1969 331--351, MathSciNet.
  86. Computer experiments with the Bieberbach conjecture.
    Garabedian, Paul R.
    1968 Proc. Internat. Congr. Math. (Moscow, 1966) pp. 627--628, MathSciNet.
  87. On Bieberbach-Eilenberg Functions. III  
    James A. Jenkins  
    Transactions of the American Mathematical Society, Vol. 119, No. 2. (Aug., 1965), pp. 195-215, Jstor.  
  88. The generalized Bieberbach conjecture for subordinate functions.
    Robertson, M. S.
    Michigan Math. J. 12 1965 421--429, MathSciNet.
  89. A geometric proof of the Bieberbach conjecture for the fourth coefficient.
    Charzy'nski, Z.; Schiffer, M.
    Scripta Math. 25 1960 173--181, MathSciNet.
  90. A new proof of the Bieberbach conjecture for the fourth coefficient.
    Charzy'nski, Z.; Schiffer, M.
    Arch. Rational Mech. Anal. 5 1960 187--193 (1960), MathSciNet.
  91. A proof of the Bieberbach conjecture for the fourth coefficient. (Chinese)
    Garabedian, P. R.; Schiffer, M.
    Advancement in Math. 3 1957 167--200, MathSciNet.
  92. On Bieberbach-Eilenberg Functions. II  
    James A. Jenkins  
    Transactions of the American Mathematical Society, Vol. 78, No. 2. (Mar., 1955), pp. 510-515, Jstor.  
  93. A proof of the Bieberbach conjecture for the fourth coefficient.
    Garabedian, P. R.; Schiffer, M. A.
    J. Rational Mech. Anal. 4, (1955). 427--465, MathSciNet.
  94. On Bieberbach-Eilenberg Functions  
    James A. Jenkins  
    Transactions of the American Mathematical Society, Vol. 76, No. 3. (May, 1954), pp. 389-396, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003