Shear Construction Of Certain Harmonic Univalent Functions And Weierstrass-Enneper Representation

Geometric function theory is an intriguing field of study because harmonic maps and the minimal surfaces are connected and also it is used in many other fields. The major part of this thesis consists of several original results on harmonic functions and their minimal surface connections. Initially,...

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Main Author: Ahmad El-Faqeer, Ahmad Sulaiman
Format: Thesis
Language:English
Published: 2023
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Online Access:http://eprints.usm.my/60493/1/Pages%20from%20AHMAD%20SULAIMAN%20AHMAD%20EL-FAQEER%20-%20TESIS.pdf
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spelling my.usm.eprints.60493 http://eprints.usm.my/60493/ Shear Construction Of Certain Harmonic Univalent Functions And Weierstrass-Enneper Representation Ahmad El-Faqeer, Ahmad Sulaiman QA1 Mathematics (General) Geometric function theory is an intriguing field of study because harmonic maps and the minimal surfaces are connected and also it is used in many other fields. The major part of this thesis consists of several original results on harmonic functions and their minimal surface connections. Initially, we present two generalized harmonic univalent functions using the shearing construction, determine a horizontal convexity criterion for these generalized univalent harmonic mappings, and look into the directional convexity and univalency of special subclasses of harmonic mapping convolutions. 2023-05 Thesis NonPeerReviewed application/pdf en http://eprints.usm.my/60493/1/Pages%20from%20AHMAD%20SULAIMAN%20AHMAD%20EL-FAQEER%20-%20TESIS.pdf Ahmad El-Faqeer, Ahmad Sulaiman (2023) Shear Construction Of Certain Harmonic Univalent Functions And Weierstrass-Enneper Representation. PhD thesis, Universiti Sains Malaysia.
institution Universiti Sains Malaysia
building Hamzah Sendut Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Sains Malaysia
content_source USM Institutional Repository
url_provider http://eprints.usm.my/
language English
topic QA1 Mathematics (General)
spellingShingle QA1 Mathematics (General)
Ahmad El-Faqeer, Ahmad Sulaiman
Shear Construction Of Certain Harmonic Univalent Functions And Weierstrass-Enneper Representation
description Geometric function theory is an intriguing field of study because harmonic maps and the minimal surfaces are connected and also it is used in many other fields. The major part of this thesis consists of several original results on harmonic functions and their minimal surface connections. Initially, we present two generalized harmonic univalent functions using the shearing construction, determine a horizontal convexity criterion for these generalized univalent harmonic mappings, and look into the directional convexity and univalency of special subclasses of harmonic mapping convolutions.
format Thesis
author Ahmad El-Faqeer, Ahmad Sulaiman
author_facet Ahmad El-Faqeer, Ahmad Sulaiman
author_sort Ahmad El-Faqeer, Ahmad Sulaiman
title Shear Construction Of Certain Harmonic Univalent Functions And Weierstrass-Enneper Representation
title_short Shear Construction Of Certain Harmonic Univalent Functions And Weierstrass-Enneper Representation
title_full Shear Construction Of Certain Harmonic Univalent Functions And Weierstrass-Enneper Representation
title_fullStr Shear Construction Of Certain Harmonic Univalent Functions And Weierstrass-Enneper Representation
title_full_unstemmed Shear Construction Of Certain Harmonic Univalent Functions And Weierstrass-Enneper Representation
title_sort shear construction of certain harmonic univalent functions and weierstrass-enneper representation
publishDate 2023
url http://eprints.usm.my/60493/1/Pages%20from%20AHMAD%20SULAIMAN%20AHMAD%20EL-FAQEER%20-%20TESIS.pdf
http://eprints.usm.my/60493/
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score 13.211869