Applications of first order differential subordination for functions with positive real part

Om P Ahuja, Sushil Kumar, V Ravichandran

Abstract


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.

Keywords


30C45

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2018.3.02

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