The purpose of the present paper is to investigate some characterization for Poisson distribution series to be in the new subclasses G(λ,α) and K(λ,α) of analytic functions. © 2016, Hacettepe University. All rights reserved.

Murugusundaramoorthy G

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Vijaya K

Porwal S.

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

Hacettepe Journal of Mathematics and Statistics

The purpose of the present paper is to establish connections between various subclasses of analytic univalent functions by applying certain convolution operator involving Poisson distribution series. To be more precise,we investigate such connections with the classes of analytic univalent functions of β-starlike and β-uniformly convex functions of order α in the open unit disk U. Further we point out some consequences of our main results. © 2017, African Mathematical Union and Springer-Verlag GmbH Deutschland.

Journal	Hacettepe Journal of Mathematics and Statistics
Publisher	Hacettepe Journal of Mathematics and Statistics
ISSN	1303-5010
Open Access	No