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Authors: OM P. AHUJA, SUSHIL KUMAR, V. RAVICHANDRAN.
Several inclusions between the class of functions with positive real part and the class of starlike univalent functions associated with lemniscate of Bernoulli are obtained by making use of the well-known theory of differential subordination. Further, these inclusions give sufficient conditions for normalized analytic functions to belong to some subclasses of starlike functions. The results also provide sharp version of some previously known results.
Mathematics Subject Classification (2010): 30C45.
Keywords: Differential subordination, starlike function, lemniscate of Bernoulli, functions with positive real part.
