An Application of a Poisson Distribution Series on Certain Analytic Functions

By Saurabh Porwal. 2014

149 citations recorded by the source corpus.

The purpose of the present paper is to introduce a Poisson distribution series and obtain necessary and sufficient conditions for this series belonging to the classes and . We also consider an integral operator related to this series.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/723c96ad35a9083108116ef5924cf0328f4f0458

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In Applied Mathematics

1. Gangadharan Murugusundaramoorthy
2. K. Viyaja
3. Saurabh Porwal

In Geometry and Topology

1. Gangadharan Murugusundaramoorthy
2. K. Viyaja
3. Saurabh Porwal

Citations in the corpus

• Subclasses of starlike and convex functions involving Poisson distribution series (2017, unknown): “Very recently, Porwal [10,13] introduce a power series whose coefficients are probabilities of Poisson distribution”
• Some inclusion results of certain subclass of analytic functions associated with Poisson distribution series (2016, methodology): “In [13], Porwal also defined the series F (m, z) = 2z −K(m, z) = z − ∞∑ n=2 mn−1 (n− 1)! e−mzn, z ∈ U.”