Bibliography for the Bieberbach Conjecture

short

 

  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 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.  
  5. 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.  
  6. 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.
  7. The Bieberbach conjecture. Special functions (Torino, 1993).
    Smith, H. V.
    Ann. Numer. Math. 2 (1995), no. 1-4, 407--413, MathSciNet.
  8. 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.
  9. 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.
  10. 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.
  11. A simple proof of the Bieberbach conjecture.
    Todorov, Pavel G.
    Serdica 19 (1993), no. 2-3, 204--214, MathSciNet.
  12. A simple proof of the Bieberbach conjecture.
    Todorov, Pavel G.
    Acad. Roy. Belg. Bull. Cl. Sci. (6) 3 (1992), no. 12, 335--346, MathSciNet.
  13. The Bieberbach conjecture.
    Weinstein, Lenard
    Internat. Math. Res. Notices 1991, no. 5, 61--64, MathSciNet.
  14. Special Functions and the Bieberbach Conjecture  
    Nicholas D. Kazarinoff  
    American Mathematical Monthly, Vol. 95, No. 8. (Oct., 1988), pp. 689-696, Jstor.  
  15. The Bieberbach conjecture. (Spanish)  
    Suárez, Pedro A.
    Rev. Mat. Dominicana  No. 3-4 (1987), 20--38, MathSciNet.
  16. 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.
  17. 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.
  18. The Bieberbach Conjecture  
    Paul Zorn  
    Mathematics Magazine, Vol. 59, No. 3. (Jun., 1986), pp. 131-148, Jstor.  
  19. 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.  
  20. 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.
  21. The Bieberbach conjecture and its impact on the developments in geometric function theory.
    Ahuja, O. P.
    Math. Chronicle 15 (1986), 1--28, MathSciNet.
  22. 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.
  23. 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.
  24. 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.
  25. 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.
  26. A Proof of the Bieberbach Conjecture  
    de Branges, Louis
    Acta Mathematica, (1985), V. 154, no. 1-2, pp. 137-152, MathSciNet.
  27. 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.
  28. The Bieberbach conjecture for restricted initial coefficients.
    Bshouty, Daoud
    Math. Z. 182 (1983), no. 2, 149--158, MathSciNet.
  29. On the Bieberbach conjecture for univalent functions and related results.
    Alves, Mauriso
    An. Acad. Brasil. Ciênc. 54 (1982), no. 2, 267--269, MathSciNet.
  30. 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.
  31. 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.  
  32. The asymptotic Bieberbach conjecture for weakly p-valent functions.
    Higginson, C. G.
    Proc. London Math. Soc. (3) 35 (1977), no. 2, 291--312, MathSciNet.
  33. On the Bieberbach conjecture for multivalent functions.  
    Eke, B. G.
    J. London Math. Soc. (2)  13  (1976), no. 1, 19--26, MathSciNet.
  34. The Bieberbach conjecture for univalent functions with restricted second coefficients.
    Ehrig, Gertraud
    J. London Math. Soc. (2) 8 (1974), 355--360, MathSciNet.
  35. Coefficient estimates concerning the Bieberbach conjecture.
    Ehrig, Gertraud
    Math. Z. 140 (1974), 111--126, MathSciNet.
  36. Proof of Bieberbach's conjecture.
    Uluçay, C.
    Comm. Fac. Sci. Univ. Ankara Sér. A 22 (1973), 1--20, MathSciNet.
  37. A proof of the Bieberbach conjecture for the fourth coefficient.
    Ozawa, Mitsuru
    Kodai Math. Sem. Rep. 24 (1972), 506--512, MathSciNet.
  38. 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.  
  39. Proof of the Bieberbach conjecture for a certain class of univalent functions.
    Aharonov, Dov
    Israel J. Math. 8 1970 102--104, MathSciNet.
  40. An elementary proof of the Bieberbach conjecture for the sixth coefficient.
    Ozawa, Mitsuru
    Kodai Math. Sem. Rep. 21 1969 129--132, MathSciNet.
  41. Computer experiments with the Bieberbach conjecture.
    Garabedian, Paul R.
    1968 Proc. Internat. Congr. Math. (Moscow, 1966) pp. 627--628, MathSciNet.
  42. On Bieberbach-Eilenberg Functions. III  
    James A. Jenkins  
    Transactions of the American Mathematical Society, Vol. 119, No. 2. (Aug., 1965), pp. 195-215, Jstor.  
  43. A geometric proof of the Bieberbach conjecture for the fourth coefficient.
    Charzy'nski, Z.; Schiffer, M.
    Scripta Math. 25 1960 173--181, MathSciNet.
  44. On Bieberbach-Eilenberg Functions. II  
    James A. Jenkins  
    Transactions of the American Mathematical Society, Vol. 78, No. 2. (Mar., 1955), pp. 510-515, Jstor.  
  45. 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.
  46. 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