Some classes of Janowski functions associated with conic domain and a shell-like curve involving Ruscheweyh derivative

Kadhavoor Ragavan Karthikeyan, Seetharam Varadharajan, Sakkarai Lakshmi

Abstract


Making use of Ruscheweyh derivative, we dene a new class of starlike functions of complex order subordinate to a conic domain impacted by Janowski functions. Coecient estimates and Fekete-Szego inequalities for the dened class are our main results. Some of our results generalize the related work of some authors.

Keywords


Analytic function, Schwarz function, starlike, convex, shell-like functions, Janowski functions, subordination, Fekete-Szego inequality, Ruscheweyh derivative

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2023.4.05

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