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    STUDIA MATHEMATICA - Issue no. 2 / 2023  
         
  Article:   CERTAIN SUFFICIENT CONDITIONS FOR Φ LIKE FUNCTIONS IN A PARABOLIC REGION.

Authors:  HARDEEP KAUR, RICHA BRAR, SUKHWINDER SINGH BILLING.
 
       
         
  Abstract:  DOI: 10.24193/subbmath.2023.2.05

Received 21 May 2020; Accepted 21 July 2020. Published Online: 2023-06-14
Published Print: 2023-07-30
pp. 279-293

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To obtain the main result of the present paper we use the technique of differential subordination. As special cases of our main result, we obtain sufficient conditions for f  A to be φ like, starlike and close-to-convex in a parabolic region.

Mathematics Subject Classification (2010): 30C80, 30C45.
Keywords: Analytic function, differential subordination, parabolic φ like function, parabolic starlike function, close-to-convex function.
 
         
     
         
         
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