Starlike and convex properties for Poisson distribution series

Nanjundan Magesh, Saurabh Porwal, Chinnaswamy Abirami

Abstract



In this paper, we find the  necessary
and sufficient conditions,inclusion relations  for Poisson distribution series
belonging to the classes $\mathscr{S}^*(\alpha,\beta)$ and
$\mathscr{C}^*(\alpha,\beta).$ Further, we consider
an integral operator related to Poisson Distribution series.

Keywords


Starlike functions, convex functions, Poisson distribution series.

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DOI: http://dx.doi.org/10.24193/subbmath.2018.1.05

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