Coefficient Bounds for Certain Subclasses of q -Starlike Functions

Lin-Lin Fan, Zhi-Gang Wang, Shahid Khan, Saqib Hussain, Muhammad Naeem and Tahir Mahmood
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Lin-Lin Fan: School of Mathematics and Computing Science, Hunan First Normal University, Changsha 410205, Hunan, China
Zhi-Gang Wang: School of Mathematics and Computing Science, Hunan First Normal University, Changsha 410205, Hunan, China
Shahid Khan: Department of Mathematics, Riphah International University, Islamabad 44000, Pakistan
Saqib Hussain: Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Pakistan
Muhammad Naeem: Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
Tahir Mahmood: Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan

Mathematics, 2019, vol. 7, issue 10, 1-11

Abstract: By making use of q -calculus, we define and investigate several new subclasses of bi-univalent mappings related to the q -Noor integral operator. The coefficient bounds | u 2 | , | u 3 | and the Fekete–Szeg? problem u 3 − μ u 2 2 for mappings belonging to these classes are derived.

Keywords: bi-univalent functions; analytic functions; q -starlike functions; q -derivative operator; q -Noor integral oprator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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