Approximation of Conformal Mappings via Bieberbach Polynomials inside Regions with Cusps

Cem Koşar

doi:10.17798/bitlisfen.641402

Approximation of Conformal Mappings via Bieberbach Polynomials inside Regions with Cusps

Abstract

Bu çalışmada, kompleks düzlemin; sonlu, basit bağlantılı ve aynı zamanda hem iç sıfır açı hem de dış sıfır açıya sahip bölgelerin içerisinde konform dönüşümlere Bieberbach polinomlarıyla yaklaşımı için bazı hesaplamalar elde edimiştir. Ayrıca yaklaşımın hızı bölgenin geometrik özelliğine bağlıdır.

Keywords

Conformal mapping,Bieberbach polynomials,quasiconformal curve

References

Referans1. Abdullayev F.G. 1986. On the orthogonal polynomials in domains with quasiconformal boundary (Russian), Dissertation, Donetsk.
Referans2. Abdullayev F.G., Baki A. 2001. On the convergence of Bieberbach polynomials in domains with interior zero angles, Complex Variables Theor. Appl., 44 (2): 131-144.
Referans3. Abdullayev F.G. 1989. On the convergence of Fourier series by orthogonal polynomials in domains with piecewise-quasiconformal boundary, Theory of Mapping and Approx., Kiev, Naukova Dumka, 3-12.
Referans4. Abdullayev F.G. 1997. Uniform convergence of the generalized Bieberbach polynomials in regions with non-zero angles, Acta Math. Hung., 77(3): 223-246.
Referans5. Abdullayev F.G. 2001. Uniform convergence of the generalized Bieberbach polynomials in regions with zero angles, Czechoslovak Math. J., 51(126): 643-660.
Referans6. Abdullayev F.G. 2001. Uniform convergence of the Bieberbach polynomials inside and on the closure of domain in the complex plane, East J. Approx., 7(1):77-101.
Referans7. Abdullayev F.G. 2018. Uniform convergence of the generalized Bieberbach polynomials in regions with simultaneously exterior and interior zero angles, Complex Analysis and Operator Theory, https://doi.org/10.1007/s-11785-018-0857-7.
Referans8. Ahlfors L.V. 1966. Lectures on Quasiconformal Mappings, Van Nostrand, Princeton.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Cem Koşar ^*
0000-0003-4949-4956
Türkiye

Publication Date

December 24, 2019

Submission Date

November 1, 2019

Acceptance Date

November 25, 2019

Published in Issue

Year 2019 Volume: 8 Number: 4

DOI

https://doi.org/10.17798/bitlisfen.641402

IZ

https://izlik.org/JA42NE27DP

Cite

RIS / Bibtex

APA

Koşar, C. (2019). Approximation of Conformal Mappings via Bieberbach Polynomials inside Regions with Cusps. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 8(4), 1288-1295. https://doi.org/10.17798/bitlisfen.641402

AMA

1.Koşar C. Approximation of Conformal Mappings via Bieberbach Polynomials inside Regions with Cusps. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2019;8(4):1288-1295. doi:10.17798/bitlisfen.641402

Chicago

Koşar, Cem. 2019. “Approximation of Conformal Mappings via Bieberbach Polynomials Inside Regions With Cusps”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 8 (4): 1288-95. https://doi.org/10.17798/bitlisfen.641402.

EndNote

Koşar C (December 1, 2019) Approximation of Conformal Mappings via Bieberbach Polynomials inside Regions with Cusps. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 8 4 1288–1295.

IEEE

[1]C. Koşar, “Approximation of Conformal Mappings via Bieberbach Polynomials inside Regions with Cusps”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 8, no. 4, pp. 1288–1295, Dec. 2019, doi: 10.17798/bitlisfen.641402.

ISNAD

Koşar, Cem. “Approximation of Conformal Mappings via Bieberbach Polynomials Inside Regions With Cusps”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 8/4 (December 1, 2019): 1288-1295. https://doi.org/10.17798/bitlisfen.641402.

JAMA

1.Koşar C. Approximation of Conformal Mappings via Bieberbach Polynomials inside Regions with Cusps. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2019;8:1288–1295.

MLA

Koşar, Cem. “Approximation of Conformal Mappings via Bieberbach Polynomials Inside Regions With Cusps”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 8, no. 4, Dec. 2019, pp. 1288-95, doi:10.17798/bitlisfen.641402.

Vancouver

1.Cem Koşar. Approximation of Conformal Mappings via Bieberbach Polynomials inside Regions with Cusps. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2019 Dec. 1;8(4):1288-95. doi:10.17798/bitlisfen.641402