Certain Coefficient Problems for <i>q</i>-Starlike Functions Associated with <i>q</i>-Analogue of Sine Function
Yusra Taj,
Saira Zainab,
Qin Xin,
Ferdous M. O. Tawfiq,
Mohsan Raza,
Sarfraz Nawaz Malik
Affiliations
Yusra Taj
Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, Pakistan
Saira Zainab
School of Electrical Engineering and Computer Science (SEECS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan
Qin Xin
Faculty of Science and Technology, University of the Faroe Islands, Vestarabryggja 15, FO 100 Torshavn, Faroe Islands, Denmark
Ferdous M. O. Tawfiq
Department of Mathematics, College of Science, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia
Mohsan Raza
Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan
Sarfraz Nawaz Malik
Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, Pakistan
This study introduces a subclass Sqs* of starlike functions associated with the q-analogue of the sine function defined in symmetric unit disk. This article comprises the investigation of sharp coefficient bounds, and the upper bound of the third-order Hankel determinant for this class. It also includes the findings of Zalcman and generalized Zalcman conjectures for functions of this class.