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...
| Main Author: | |
|---|---|
| Format: | Thesis |
| Language: | English |
| Published: |
2012
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| Subjects: | |
| Online Access: | http://eprints.usm.my/46312/ |
| Abstract | Abstract here |
| _version_ | 1855629908345094144 |
|---|---|
| author | Badghaish, Abeer Omar |
| author_facet | Badghaish, Abeer Omar |
| author_sort | Badghaish, Abeer Omar |
| 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 |
| first_indexed | 2025-10-17T08:29:37Z |
| format | Thesis |
| id | usm-46312 |
| institution | Universiti Sains Malaysia |
| language | English |
| last_indexed | 2025-10-17T08:29:37Z |
| publishDate | 2012 |
| record_format | EPrints |
| record_pdf | Restricted |
| spelling | usm-463122020-02-24T02:09:44Z 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. |
| spellingShingle | QA1 Mathematics (General) Badghaish, Abeer Omar Subordination And Convolution Of Multivalent Functions And Starlikeness Of Integral Transforms |
| thesis_level | PhD |
| title | 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_short | Subordination And Convolution Of Multivalent Functions And Starlikeness Of Integral Transforms |
| title_sort | subordination and convolution of multivalent functions and starlikeness of integral transforms |
| topic | QA1 Mathematics (General) |
| url | http://eprints.usm.my/46312/ |
| work_keys_str_mv | AT badghaishabeeromar subordinationandconvolutionofmultivalentfunctionsandstarlikenessofintegraltransforms |