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    STUDIA MATHEMATICA - Issue no. 3 / 2017  
         
  Article:   GEOMETRIC PROPERTIES AND NEIGHBORHOOD RESULTS FOR A SUBCLASS OF ANALYTIC FUNCTIONS INVOLVING KOMATU INTEGRAL.

Authors:  RITU AGARWAL, GAURI SHANKAR PALIWAL, HARI S. PARIHAR.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2017.3.10

Published Online: 2017-09-30
Published Print: 2017-09-30
pp. 377-394

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In this paper, a subclass of analytic function is defined using Komatu integral. Coefficient inequalities, Fekete-Szegö inequality, extreme points, radii of starlikeness and convexity and integral means inequality for this class are obtained. Distortion theorem for the generalized fractional integration introduced by Saigo are also obtained. The inclusion relations associated with the (n, μ)-neighborhood also have been found for this class.

Keywords: analytic function, Komatu integral, coefficient inequality, Fekete-Szegö inequality, extreme points, radii of starlikeness and convexity, neighborhood results.

Mathematics Subject Classification (2010): 47A15, 46A32, 47D20.
 
         
     
         
         
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