Salleh, Nurshamimi
(2015)
Differential Subordination Of
Analytic Functions With Fixed Initial
Coefficient.
Masters thesis, Universiti Sains Malaysia.
Abstract
Tesis ini mengkaji fungsi analisis bernilai kompleks dalam cakera unit dengan pekali awal tetap atau dengan pekali kedua tetap dalam pengembangan sirinya. Kaedah
subordinasi pembeza disesuai dan dipertingkatkan untuk membolehkan penggunaannya, yang diperlukan bagi mendapatkan kelas-kelas fungsi teraku yang sesuai. Tiga
masalah penyelidikan dibincangkan di dalam tesis ini.
This thesis investigates complex-valued analytic functions in the unit disk with
fixed initial coefficient or with fixed second coefficient in its series expansion. The
methodology of differential subordination is adapted and enhanced to enable its use,
which requires obtaining appropriate classes of admissible functions. Three research
problems are discussed in this thesis.
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