Q -Extension of Starlike Functions Subordinated with a Trigonometric Sine Function

Saeed Islam, Muhammad Ghaffar Khan, Bakhtiar Ahmad, Muhammad Arif and Ronnason Chinram
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Saeed Islam: Informetrics Research Group, Ton Duc Thang University, Ho Chi Minh City 70000, Vietnam
Muhammad Ghaffar Khan: Department of Mathematics, Abdul Wali Khan University Mardan, 23200 Mardan, Pakistan
Bakhtiar Ahmad: Government Degree College Mardan, 23200 Mardan, Pakistan
Muhammad Arif: Department of Mathematics, Abdul Wali Khan University Mardan, 23200 Mardan, Pakistan
Ronnason Chinram: Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand

Mathematics, 2020, vol. 8, issue 10, 1-14

Abstract: The main purpose of this article is to examine the q -analog of starlike functions connected with a trigonometric sine function. Further, we discuss some interesting geometric properties, such as the well-known problems of Fekete-Szegö, the necessary and sufficient condition, the growth and distortion bound, closure theorem, convolution results, radii of starlikeness, extreme point theorem and the problem with partial sums for this class.

Keywords: starlike functions; subordination; q -derivative operator; sine function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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