Editing De Branges's theorem (section)

==References==

*{{Citation |author1-link=Richard Askey |last1=Askey |first1=Richard |last2=Gasper |first2=George |title=Positive Jacobi polynomial sums. II |mr=0430358 |year=1976 |journal=[[American Journal of Mathematics]] |issn=0002-9327 |volume=98 |issue=3 |pages=709–737 |doi=10.2307/2373813 |jstor=2373813}}
*{{Citation |editor1-last=Baernstein |editor1-first=Albert |editor2-last=Drasin |editor2-first=David |editor3-last=Duren |editor3-first=Peter |editor4-last=Marden |editor4-first=Albert |display-editors=3 |title=The Bieberbach conjecture |publisher=[[American Mathematical Society]] |location=Providence, R.I. |series=Mathematical Surveys and Monographs |isbn=978-0-8218-1521-2 |mr=875226 |year=1986 |volume=21 |pages=xvi+218 |doi=10.1090/surv/021|doi-access=free }}
*{{citation |first=L. |last=Bieberbach |title=Über die Koeffizienten derjenigen Potenzreihen, welche eine schlichte Abbildung des Einheitskreises vermitteln |journal=Sitzungsber. Preuss. Akad. Wiss. Phys-Math. Kl. |year=1916 |pages=940–955}}
* {{Citation |last1=Conway |first1=John B. |author1-link=John B. Conway |title=Functions of One Complex Variable II |publisher=[[Springer-Verlag]] |location=Berlin, New York |isbn=978-0-387-94460-9 |year=1995}}
*{{Citation |last1=de Branges |first1=Louis |author1-link=Louis de Branges de Bourcia |title=A proof of the Bieberbach conjecture |doi=10.1007/BF02392821 |mr=772434 |year=1985 |journal=[[Acta Mathematica]] |volume=154 |issue=1 |pages=137–152|doi-access=free }}
*{{Citation |last1=de Branges |first1=Louis |author1-link=Louis de Branges de Bourcia |title=Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986) |publisher=[[American Mathematical Society]] |location=Providence, R.I. |mr=934213 |year=1987 |chapter=Underlying concepts in the proof of the Bieberbach conjecture |pages=25–42}}
*{{citation |mr=875226 |title=The Bieberbach Conjecture |series=Mathematical Surveys and Monographs |volume=21 |work=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 |editor1-last=Drasin |editor1-first=David |editor2-last=Duren |editor2-first=Peter |editor3-last=Marden |editor3-first=Albert |publisher=American Mathematical Society |place=Providence, RI |year=1986 |pages=xvi+218 |isbn=0-8218-1521-0 |doi=10.1090/surv/021|doi-access=free }}
*{{citation |first1=M. |last1=Fekete |first2=G. | last2=Szegő| author-link2= Gábor Szegő |title= Eine Bemerkung Über Ungerade Schlichte Funktionen |journal=J. London Math. Soc. |year=1933 |pages=85–89 |doi=10.1112/jlms/s1-8.2.85 |volume=s1-8 |issue=2 }}
*{{citation |first1=Carl |last1=FitzGerald |first2=Christian |last2=Pommerenke |title=The de Branges theorem on univalent functions |journal=Trans. Amer. Math. Soc. |year=1985 |doi=10.2307/2000306 |volume=290 |issue=2 |page=683|jstor=2000306 |doi-access=free }}
* {{cite journal |last1=Garabedian |first1=P. R. |last2=Schiffer |first2=M. |title=A Proof of the Bieberbach Conjecture for the Fourth Coefficient |journal=Journal of Rational Mechanics and Analysis |date=1955 |volume=4 |pages=427–465 |jstor=24900366 |issn=1943-5282}}
*{{springer |id=B/b016150 |first=E.G. |last=Goluzina |title=Bieberbach conjecture}}
*{{Citation |last1=Grinshpan |first1=Arcadii Z. |title=The Bieberbach conjecture and Milin's functionals |doi=10.2307/2589676 |mr=1682341 |year=1999 |journal=[[American Mathematical Monthly|The American Mathematical Monthly]] |volume=106 |issue=3 |pages=203–214 |jstor=2589676 }}
*{{Citation |editor-last=Kuhnau |editor-first=Reiner|last=Grinshpan |first=Arcadii Z. |contribution=Logarithmic Geometry, Exponentiation, and Coefficient Bounds in the Theory of Univalent Functions and Nonoverlapping Domains |title=Geometric Function Theory |place=[[Amsterdam]] |publisher=[[North-Holland Publishing Company|North-Holland]] |series=Handbook of Complex Analysis |volume=1 |year=2002 |pages=273–332 |doi= 10.1016/S1874-5709(02)80012-9|isbn=0-444-82845-1 |mr=1966197 |zbl=1083.30017 }}.
*{{Citation |last1=Hayman |first1=W. K. |title=The asymptotic behaviour of p-valent functions |doi=10.1112/plms/s3-5.3.257 |mr=0071536 |year=1955 |journal=Proceedings of the London Mathematical Society |series=Third Series |volume=5 |pages=257–284 |issue=3}}
*{{citation|last=Hayman|first= W. K.|author-link=Walter Hayman|title= Multivalent functions|edition=2nd|series= Cambridge Tracts in Mathematics|volume= 110| publisher=[[Cambridge University Press]]| year=1994|isbn=0521460263|chapter= De Branges' Theorem}}
* Koepf, Wolfram (2007), ''[http://kobra.bibliothek.uni-kassel.de/bitstream/urn:nbn:de:hebis:34-200604038936/1/prep0513.pdf Bieberbach’s Conjecture, the de Branges and Weinstein Functions and the Askey-Gasper Inequality]''    
*{{Citation |last1=Korevaar |first1=Jacob |author-link=Jacob Korevaar |title=Ludwig Bieberbach's conjecture and its proof by Louis de Branges |mr=856290 |year=1986 |journal=[[American Mathematical Monthly|The American Mathematical Monthly]] |issn=0002-9890 |volume=93 |issue=7 |pages=505–514 |doi=10.2307/2323021 |jstor=2323021 |url=http://www.maa.org/programs/maa-awards/writing-awards/ludwig-bieberbachs-conjecture-and-its-proof-by-louis-de-branges|url-access=subscription }}
*{{citation |first=J. E. |last=Littlewood |title=On Inequalities in the Theory of Functions |journal=Proc. London Math. Soc. |year=1925 |pages=481–519 |doi=10.1112/plms/s2-23.1.481 |volume=s2-23 }}
*{{citation |first1=J.E. |last1=Littlewood |first2=E. A. C. |last2=Paley |title=A Proof That An Odd Schlicht Function Has Bounded Coefficients |journal=J. London Math. Soc. |year=1932 |pages=167–169 |doi=10.1112/jlms/s1-7.3.167 |volume=s1-7 |issue=3 }}
*{{citation |first=C. |last=Löwner |title=Untersuchungen über die Verzerrung bei konformen Abbildungen des Einheitskreises /z/ < 1, die durch Funktionen mit nicht verschwindender Ableitung geliefert werden |journal=Ber. Verh. Sachs. Ges. Wiss. Leipzig |volume=69 |year=1917 |pages=89–106}}
*{{citation |first=C. |last=Löwner |title=Untersuchungen über schlichte konforme Abbildungen des Einheitskreises. I |journal=Math. Ann. |volume=89 |year=1923 |issue=1–2 |pages=103–121 |jfm=49.0714.01 |doi=10.1007/BF01448091|hdl=10338.dmlcz/125927 |hdl-access=free }}
*{{Citation |last1=Milin |first1=I. M. |title=Univalent functions and orthonormal systems |publisher=[[American Mathematical Society]] |location=Providence, R.I. |mr=0369684 |year=1977}} (Translation of the 1971 Russian edition)
*{{citation |last=Nevanlinna |first=R. |title=Über die konforme Abbildung von Sterngebieten |journal=Ofvers. Finska Vet. Soc. Forh. |volume=53 |year=1921 |pages=1–21}}
* {{cite journal |last1=Ozawa |first1=Mitsuru |title=On the Bieberbach conjecture for the sixth coefficient |journal=Kodai Mathematical Journal |date=1 January 1969 |volume=21 |issue=1 |pages=97–128 |doi=10.2996/kmj/1138845834|doi-access=free }}
* {{cite journal |last1=Pederson |first1=Roger N. |title=A proof of the Bieberbach conjecture for the sixth coefficient |journal=Archive for Rational Mechanics and Analysis |date=December 1968 |volume=31 |issue=5 |pages=331–351 |doi=10.1007/BF00251415|bibcode=1968ArRMA..31..331P }}
* {{cite journal |last1=Pederson |first1=R. |last2=Schiffer |first2=M. |title=A proof of the Bieberbach conjecture for the fifth coefficient |journal=Archive for Rational Mechanics and Analysis |date=1972 |volume=45 |issue=3 |pages=161–193 |doi=10.1007/BF00281531|bibcode=1972ArRMA..45..161P }}
*{{Citation |last1=Robertson |first1=M. S. |title=A remark on the odd schlicht functions |url=https://www.ams.org/bull/1936-42-06/S0002-9904-1936-06300-7/ |doi=10.1090/S0002-9904-1936-06300-7 |year=1936 |journal=[[Bulletin of the American Mathematical Society]] |volume=42 |pages=366–370 |issue=6|doi-access=free }}
* {{cite journal |first=L. |last=Weinstein |title=The Bieberbach conjecture |journal=International Mathematics Research Notices |date=1991 |volume=1991 |issue=5 |pages=61–64 |doi=10.1155/S1073792891000089}}
* {{cite journal |author=Zorn, P. |year=1986 |title=The Bieberbach Conjecture |journal=Mathematics Magazine |volume=59 |issue=3 |pages=131–148 |doi=10.1080/0025570X.1986.11977236 |url=https://maa.org/sites/default/files/pdf/upload_library/22/Allendoerfer/1987/0025570x.di021145.02p0002y.pdf}} {{cite web|title=The Bieberbach Conjecture by Paul Zorn; Award: Carl B. Allendoerfer; Year of Award: 1987|website=Writing Awards, Mathematical Association of America (maa.org)|url=https://maa.org/programs/maa-awards/writing-awards/the-bieberbach-conjecture}}