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

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
Subjects:
QA1 Mathematics (General)
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-ep.604932024-04-30T08:53:20Z Shear Construction Of Certain Harmonic Univalent Functions And Weierstrass-Enneper Representation 2023-05 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 http://eprints.usm.my/60493/ http://eprints.usm.my/60493/1/Pages%20from%20AHMAD%20SULAIMAN%20AHMAD%20EL-FAQEER%20-%20TESIS.pdf application/pdf en public phd doctoral Universiti Sains Malaysia Pusat Pengajian Sains Matematik ( School of Mathematical Sciences)
institution Universiti Sains Malaysia
collection USM Institutional Repository
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
qualification_name Doctor of Philosophy (PhD.)
qualification_level Doctorate
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
granting_institution Universiti Sains Malaysia
granting_department Pusat Pengajian Sains Matematik ( School of Mathematical Sciences)
publishDate 2023
url http://eprints.usm.my/60493/1/Pages%20from%20AHMAD%20SULAIMAN%20AHMAD%20EL-FAQEER%20-%20TESIS.pdf
_version_ 1804888948143554560

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