Majorization Results for Certain Subfamilies of Analytic Functions

Let h1z and h2z be two nonvanishing holomorphic functions in the open unit disc with h10=h20=1. For some holomorphic function qz, we consider the class consisting of normalized holomorphic functions f whose ratios fz/zqz and qz are subordinate to h1z and h2z, respectively. The majorization results a...

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Bibliographic Details
Published in:Journal of function spaces 2021, Vol.2021, p.1-6
Main Authors: Arif, Muhammad, Ul-Haq, Miraj, Barukab, Omar, Khan, Sher Afzal, Abullah, Saleem
Format: Article
Language:English
Subjects:
Analytic functions
Applied mathematics
Inequality
Mathematical analysis
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Summary:Let h1z and h2z be two nonvanishing holomorphic functions in the open unit disc with h10=h20=1. For some holomorphic function qz, we consider the class consisting of normalized holomorphic functions f whose ratios fz/zqz and qz are subordinate to h1z and h2z, respectively. The majorization results are obtained for this class when h1z is chosen either h1z=cosz or h1z=1+sinz or h1z=1+z and h2z=1+sinz.
ISSN:2314-8896
2314-8888
DOI:10.1155/2021/5548785