On the class of harmonic mappings which is related to the class of bounded boundary rotation

Yaşar Polatoglu; Melike Aydogan; Yasemin Kahramaner

doi:10.1016/j.amc.2014.10.055

On the class of harmonic mappings which is related to the class of bounded boundary rotation

Yaşar Polatoglu^*, Melike Aydogan, Yasemin Kahramaner

^*Bu çalışma için yazışmadan sorumlu yazar

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

Özet

The class of bounded radius of rotation is generalization of the convex functions. The concept of functions bounded boundary rotation originated from Loewner (1917). But he did not use the present terminology. It was Paatero (1931, 1933) who systematically developed their properties and made an exhaustive study of the class ^Vk. In the present paper we will investigate the class of harmonic mappings which is related to the class of bounded boundary rotation.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	790-794
Sayfa sayısı	5
Dergi	Applied Mathematics and Computation
Hacim	267
DOI'lar	https://doi.org/10.1016/j.amc.2014.10.055
Yayın durumu	Yayınlandı - 15 Eyl 2015
Harici olarak yayınlandı	Evet

Bibliyografik not

Publisher Copyright:
© 2014 Published by Elsevier Inc. All rights reserved.

Belgeye Erişim

10.1016/j.amc.2014.10.055

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "On the class of harmonic mappings which is related to the class of bounded boundary rotation",

abstract = "The class of bounded radius of rotation is generalization of the convex functions. The concept of functions bounded boundary rotation originated from Loewner (1917). But he did not use the present terminology. It was Paatero (1931, 1933) who systematically developed their properties and made an exhaustive study of the class Vk. In the present paper we will investigate the class of harmonic mappings which is related to the class of bounded boundary rotation.",

keywords = "Distortion theorem, Functions with bounded boundary rotation, Growth theorem, Harmonic mapping",

author = "Ya{\c s}ar Polatoglu and Melike Aydogan and Yasemin Kahramaner",

year = "2015",

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day = "15",

doi = "10.1016/j.amc.2014.10.055",

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journal = "Applied Mathematics and Computation",

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T1 - On the class of harmonic mappings which is related to the class of bounded boundary rotation

AU - Polatoglu, Yaşar

AU - Aydogan, Melike

AU - Kahramaner, Yasemin

PY - 2015/9/15

Y1 - 2015/9/15

N2 - The class of bounded radius of rotation is generalization of the convex functions. The concept of functions bounded boundary rotation originated from Loewner (1917). But he did not use the present terminology. It was Paatero (1931, 1933) who systematically developed their properties and made an exhaustive study of the class Vk. In the present paper we will investigate the class of harmonic mappings which is related to the class of bounded boundary rotation.

AB - The class of bounded radius of rotation is generalization of the convex functions. The concept of functions bounded boundary rotation originated from Loewner (1917). But he did not use the present terminology. It was Paatero (1931, 1933) who systematically developed their properties and made an exhaustive study of the class Vk. In the present paper we will investigate the class of harmonic mappings which is related to the class of bounded boundary rotation.

KW - Distortion theorem

KW - Functions with bounded boundary rotation

KW - Growth theorem

KW - Harmonic mapping

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U2 - 10.1016/j.amc.2014.10.055

DO - 10.1016/j.amc.2014.10.055

M3 - Article

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SN - 0096-3003

VL - 267

SP - 790

EP - 794

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

On the class of harmonic mappings which is related to the class of bounded boundary rotation

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap