THE SCHIFFER’S THEOREM RE-VISITED

Faruk Uçar; Yusuf Avcı

doi:10.36753/mathenot.421210

Research Article

Year 2015, , 53 - 57, 15.05.2015

Faruk Uçar , Yusuf Avcı

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

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, , 53 - 57, 15.05.2015

Faruk Uçar , Yusuf Avcı

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

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	Articles
Authors	Faruk Uçar Yusuf Avcı This is me
Publication Date	May 15, 2015
Submission Date	October 12, 2014
Published in Issue	Year 2015

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