THE SCHIFFER’S THEOREM RE-VISITED

Faruk Uçar; Yusuf Avcı

doi:10.36753/mathenot.421210

EN

THE SCHIFFER’S THEOREM RE-VISITED

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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Faruk Uçar ^*

Yusuf Avcı This is me

Publication Date

May 15, 2015

Submission Date

October 12, 2014

Acceptance Date

-

Published in Issue

Year 2015 Volume: 3 Number: 1

DOI

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

IZ

https://izlik.org/JA95MY99XE

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