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Coefficient Inequalities for a Subclass of Symmetric q -Starlike Functions Involving Certain Conic Domains

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  • Mohammad Faisal Khan
  • Nazar Khan
  • Serkan Araci
  • Shahid Khan
  • Bilal Khan
  • Xiaolong Qin

Abstract

In this paper, we make use of a certain Ruscheweyh-type q -differential operator to introduce and study a new subclass of q -starlike symmetric functions, which are associated with conic domains and the well-known celebrated Janowski functions in D. We then investigate many properties for the newly defined functions class, including for example coefficients inequalities, the Fekete–Szegö Problems, and a sufficient condition. There are also relevant connections between the results provided in this study and those in a number of other published articles on this subject.

Suggested Citation

  • Mohammad Faisal Khan & Nazar Khan & Serkan Araci & Shahid Khan & Bilal Khan & Xiaolong Qin, 2022. "Coefficient Inequalities for a Subclass of Symmetric q -Starlike Functions Involving Certain Conic Domains," Journal of Mathematics, Hindawi, vol. 2022, pages 1-15, September.
    • Handle: RePEc:hin:jjmath:9446672
    DOI: 10.1155/2022/9446672
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