Subordination And Convolution Of Multivalent Functions And Starlikeness Of Integral Transforms

This thesis deals with analytic functions as well as multivalent functions de- �ned on the unit disk U. In most cases, these functions are assumed to be normalized, either of the form f(z) = z + 1X k=2 akzk; or f(z) = zp + 1X k=1 ak+pzk+p; p a �xed positive integer. Let A be the class of...

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Main Author: Badghaish, Abeer Omar
Format: Thesis
Language:English
Published: 2012
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Online Access:http://eprints.usm.my/46312/1/ABEER%20OMAR%20BADGHAISH_HJ.pdf
http://eprints.usm.my/46312/
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spelling my.usm.eprints.46312 http://eprints.usm.my/46312/ Subordination And Convolution Of Multivalent Functions And Starlikeness Of Integral Transforms Badghaish, Abeer Omar QA1 Mathematics (General) This thesis deals with analytic functions as well as multivalent functions de- �ned on the unit disk U. In most cases, these functions are assumed to be normalized, either of the form f(z) = z + 1X k=2 akzk; or f(z) = zp + 1X k=1 ak+pzk+p; p a �xed positive integer. Let A be the class of functions f with the �rst normalization, while Ap consists of functions f with the latter normalization. Five research problems are discussed in this work. First, let f(q) denote the q-th derivative of a function f 2 Ap. Using the theory of di�erential subordination, su�cient conditions are obtained for the following di�erential chain to hold: f(q)(z) �(p; q)zp 2012-01 Thesis NonPeerReviewed application/pdf en http://eprints.usm.my/46312/1/ABEER%20OMAR%20BADGHAISH_HJ.pdf Badghaish, Abeer Omar (2012) Subordination And Convolution Of Multivalent Functions And Starlikeness Of Integral Transforms. 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)
Badghaish, Abeer Omar
Subordination And Convolution Of Multivalent Functions And Starlikeness Of Integral Transforms
description This thesis deals with analytic functions as well as multivalent functions de- �ned on the unit disk U. In most cases, these functions are assumed to be normalized, either of the form f(z) = z + 1X k=2 akzk; or f(z) = zp + 1X k=1 ak+pzk+p; p a �xed positive integer. Let A be the class of functions f with the �rst normalization, while Ap consists of functions f with the latter normalization. Five research problems are discussed in this work. First, let f(q) denote the q-th derivative of a function f 2 Ap. Using the theory of di�erential subordination, su�cient conditions are obtained for the following di�erential chain to hold: f(q)(z) �(p; q)zp
format Thesis
author Badghaish, Abeer Omar
author_facet Badghaish, Abeer Omar
author_sort Badghaish, Abeer Omar
title Subordination And Convolution Of Multivalent Functions And Starlikeness Of Integral Transforms
title_short Subordination And Convolution Of Multivalent Functions And Starlikeness Of Integral Transforms
title_full Subordination And Convolution Of Multivalent Functions And Starlikeness Of Integral Transforms
title_fullStr Subordination And Convolution Of Multivalent Functions And Starlikeness Of Integral Transforms
title_full_unstemmed Subordination And Convolution Of Multivalent Functions And Starlikeness Of Integral Transforms
title_sort subordination and convolution of multivalent functions and starlikeness of integral transforms
publishDate 2012
url http://eprints.usm.my/46312/1/ABEER%20OMAR%20BADGHAISH_HJ.pdf
http://eprints.usm.my/46312/
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score 13.211869