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    STUDIA MATHEMATICA - Issue no. 4 / 2023  
         
  Article:   SOME CLASSES OF JANOWSKI FUNCTIONS ASSOCIATED WITH CONIC DOMAIN AND A SHELL-LIKE CURVE INVOLVING RUSCHEWEYH DERIVATIVE.

Authors:  KADHAVOOR RAGAVAN KARTHIKEYAN, SEETHARAM VARADHARAJAN, SAKKARAI LAKSHMI.
 
       
         
  Abstract:  DOI: 10.24193/subbmath.2023.4.05

Received 16 September 2020; Accepted 06 January 2021.. Published Online: 2023-12-11
Published Print: 2023-12-30
pp. 755-765

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

Mathematics Subject Classification (2010): 30C45.
Keywords: Analytic function, Schwarz function, starlike, convex, shell-like functions, Janowski functions, subordination, Fekete-Szegő inequality, Ruscheweyh derivative
 
         
     
         
         
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