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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2012
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my-usm-ep.463122020-02-24T02:09:44Z Subordination And Convolution Of Multivalent Functions And Starlikeness Of Integral Transforms 2012-01 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 http://eprints.usm.my/46312/ http://eprints.usm.my/46312/1/ABEER%20OMAR%20BADGHAISH_HJ.pdf application/pdf en public phd doctoral Universiti Sains Malaysia Pusat Pengajian Sains Matematik |
| institution |
Universiti Sains Malaysia |
| collection |
USM Institutional Repository |
| 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 |
| qualification_name |
Doctor of Philosophy (PhD.) |
| qualification_level |
Doctorate |
| 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 |
| granting_institution |
Universiti Sains Malaysia |
| granting_department |
Pusat Pengajian Sains Matematik |
| publishDate |
2012 |
| url |
http://eprints.usm.my/46312/1/ABEER%20OMAR%20BADGHAISH_HJ.pdf |
| _version_ |
1747821650003361792 |