Poisson distribution series on a general class of analytic functions

  • Basem A. Frasin Al al-Bayt University
Keywords: Analytic functions, Hadamard product, Poisson distribution series


The main object of this paper is to find necessary and sufficient conditions for the Poisson distribution series to be in a general class of analytic functions with negative coefficients. Further, we consider an integral operator related to the Poisson distribution series to be in this class. A number of known or new results are shown to follow upon specializing the parameters involved in our main results.

Author Biography

Basem A. Frasin, Al al-Bayt University

Faculty of Science, Department of Mathematics