A geometric approach to some coefficient inequalities for univalent functions

Enrico Bombieri

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1968)

  • Volume: 22, Issue: 3, page 377-397
  • ISSN: 0391-173X

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Bombieri, Enrico. "A geometric approach to some coefficient inequalities for univalent functions." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 22.3 (1968): 377-397. <http://eudml.org/doc/83465>.

@article{Bombieri1968,
author = {Bombieri, Enrico},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {complex functions},
language = {eng},
number = {3},
pages = {377-397},
publisher = {Scuola normale superiore},
title = {A geometric approach to some coefficient inequalities for univalent functions},
url = {http://eudml.org/doc/83465},
volume = {22},
year = {1968},
}

TY - JOUR
AU - Bombieri, Enrico
TI - A geometric approach to some coefficient inequalities for univalent functions
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1968
PB - Scuola normale superiore
VL - 22
IS - 3
SP - 377
EP - 397
LA - eng
KW - complex functions
UR - http://eudml.org/doc/83465
ER -

References

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  1. [1] J.A. Jenkins, Univalent fonctions and conformal mapping, Berlin1958. Zbl0083.29606
  2. [2] J.A. Jenkins, An addendum to the general coefficient theorem, Trans. Amer. Math. Soc.107 (1963), 125-128. Zbl0118.29803MR147639
  3. [3] Z. Charzynski and M. Schiffer, A new proof of the Bieberbach conjecture for the fourth coefficient, Arch. Rational Mech. Anal.5 (1960), 187-193. Zbl0099.05901MR114930
  4. [4] Z. Charzynski and M. Schifffr, A geometric proof of the Bieberbach conjecture for the fourth coefficient, Scripta Matb.25 (1960), 173-181. Zbl0100.07301MR118846
  5. [5] A. Obrock, An inequality for certain schlicht functionsProc. Amer. Math. Soc., 17 (1966), 1250-1253. Zbl0156.29902MR206256
  6. [6] M. Ozawa, On certain coefficient inequalities of univalent functions, Kodai Mat. Sem. Reports, 16 (1964), 183-188. Zbl0193.37102MR168750
  7. [7] P.R. Garabedian and M. Schiffer, A coefficient inequality for schlicht functions, Annals of Math.61 (1955), 116-136 Zbl0065.30901MR66457
  8. [8] P.R. Garabedian, Inequalities for the fifth coefficient, Comm. Pure Appl. Math.19 (1966), 199-214. Zbl0141.26902MR222274
  9. [9] A. Schaeffer and D.C. Spencer, Coefficient regions for schlicht functions, Amer. Math. Soc. Colloq. Publ. Vol. 35, Providence R. I., 1950. Zbl0066.05701MR37908

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