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Year 2015, Volume: 3 Issue: 1, 53 - 57, 15.05.2015

Faruk Uçar , Yusuf Avcı

https://doi.org/10.36753/mathenot.421210
https://izlik.org/JA95MY99XE

Abstract

References

  • [1] Bieberbach, L., Uber die Koeffizienten derjenigen Potenzreihen, welche eine schlichte Abbil- ¨ dung des Einheitskreises vermitteln, Sitzungsber. Preuss. Akad. Wiss. Phys-Math. Kl., (1916), 940-955.
  • [2] de Branges, L., A proof of the Bieberbach conjecture, Acta Mathematica 154 (1) (1985), 137-152.
  • [3] Duren, P.L., Univalent Functions, Die Grundlehren der mathematischen Wiesseschaften 259. Springer-Verlag, Berlin-Heidelberg-New York, 1983.
  • [4] Koebe, P., Uber die Uniformisierung der algebraischen Kurven durch automorphe Funktionen ¨ mit imaginarer Substitutionsgruppe, Nachr. Kgl. Ges. Wiss. Göttingen, Math-Phys. Kl.(1909), 68-76.
  • [5] Löwner, K., Untersuchungen über schlichte konforme Abbildungen des Einheitskreises, I. Math. Ann. 89 (1923), 103-121.
  • [6] Pommerenke, Chr., Univalent Functions, Vandenhoeck and Ruprecht, Göttingen, 1975.
  • [7] Schiffer, M., A method of variation within the family of simple functions, Proc. London Math. Soc. 44 (1938), 432-449.

THE SCHIFFER’S THEOREM RE-VISITED

Year 2015, Volume: 3 Issue: 1, 53 - 57, 15.05.2015

Faruk Uçar , Yusuf Avcı

https://doi.org/10.36753/mathenot.421210
https://izlik.org/JA95MY99XE

Abstract

In this paper, we consider Schiffer’s differential equation for the
functions in the class of normalized analytic and univalent functions which
maximize the second and the third coefficients. 

Keywords

Univalent Functions Schiffer’s differential equation Bieberbach conjecture

References

  • [1] Bieberbach, L., Uber die Koeffizienten derjenigen Potenzreihen, welche eine schlichte Abbil- ¨ dung des Einheitskreises vermitteln, Sitzungsber. Preuss. Akad. Wiss. Phys-Math. Kl., (1916), 940-955.
  • [2] de Branges, L., A proof of the Bieberbach conjecture, Acta Mathematica 154 (1) (1985), 137-152.
  • [3] Duren, P.L., Univalent Functions, Die Grundlehren der mathematischen Wiesseschaften 259. Springer-Verlag, Berlin-Heidelberg-New York, 1983.
  • [4] Koebe, P., Uber die Uniformisierung der algebraischen Kurven durch automorphe Funktionen ¨ mit imaginarer Substitutionsgruppe, Nachr. Kgl. Ges. Wiss. Göttingen, Math-Phys. Kl.(1909), 68-76.
  • [5] Löwner, K., Untersuchungen über schlichte konforme Abbildungen des Einheitskreises, I. Math. Ann. 89 (1923), 103-121.
  • [6] Pommerenke, Chr., Univalent Functions, Vandenhoeck and Ruprecht, Göttingen, 1975.
  • [7] Schiffer, M., A method of variation within the family of simple functions, Proc. London Math. Soc. 44 (1938), 432-449.
There are 7 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Faruk Uçar

Yusuf Avcı This is me

Submission Date October 12, 2014
Publication Date May 15, 2015
DOI https://doi.org/10.36753/mathenot.421210
IZ https://izlik.org/JA95MY99XE
Published in Issue Year 2015 Volume: 3 Issue: 1

Cite

APA Uçar, F., & Avcı, Y. (2015). THE SCHIFFER’S THEOREM RE-VISITED. Mathematical Sciences and Applications E-Notes, 3(1), 53-57. https://doi.org/10.36753/mathenot.421210
AMA 1.Uçar F, Avcı Y. THE SCHIFFER’S THEOREM RE-VISITED. Math. Sci. Appl. E-Notes. 2015;3(1):53-57. doi:10.36753/mathenot.421210
Chicago Uçar, Faruk, and Yusuf Avcı. 2015. “THE SCHIFFER’S THEOREM RE-VISITED”. Mathematical Sciences and Applications E-Notes 3 (1): 53-57. https://doi.org/10.36753/mathenot.421210.
EndNote Uçar F, Avcı Y (May 1, 2015) THE SCHIFFER’S THEOREM RE-VISITED. Mathematical Sciences and Applications E-Notes 3 1 53–57.
IEEE [1]F. Uçar and Y. Avcı, “THE SCHIFFER’S THEOREM RE-VISITED”, Math. Sci. Appl. E-Notes, vol. 3, no. 1, pp. 53–57, May 2015, doi: 10.36753/mathenot.421210.
ISNAD Uçar, Faruk - Avcı, Yusuf. “THE SCHIFFER’S THEOREM RE-VISITED”. Mathematical Sciences and Applications E-Notes 3/1 (May 1, 2015): 53-57. https://doi.org/10.36753/mathenot.421210.
JAMA 1.Uçar F, Avcı Y. THE SCHIFFER’S THEOREM RE-VISITED. Math. Sci. Appl. E-Notes. 2015;3:53–57.
MLA Uçar, Faruk, and Yusuf Avcı. “THE SCHIFFER’S THEOREM RE-VISITED”. Mathematical Sciences and Applications E-Notes, vol. 3, no. 1, May 2015, pp. 53-57, doi:10.36753/mathenot.421210.
Vancouver 1.Faruk Uçar, Yusuf Avcı. THE SCHIFFER’S THEOREM RE-VISITED. Math. Sci. Appl. E-Notes. 2015 May 1;3(1):53-7. doi:10.36753/mathenot.421210

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