Properties of Some Families of Meromorphic Multivalent Functions Associated with Generalized Hypergeometric Functions
Received:February 22, 2017  Revised:June 12, 2017
Key Word: Generalized hypergeometric function   Hadamard product   meromorphic functions   neighborhoods
Fund ProjectL:Supported by UKM (Grant No.GUP-2017-064).
 Author Name Affiliation Mostafa ALBEHBAH School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Selangor, DE, Bangi UKM, 43600, Malaysia Maslina DARUS School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Selangor, DE, Bangi UKM, 43600, Malaysia
Hits: 3220
We introduce and study two subclasses $\Omega_{[\alpha_{1}]}(A,B,\lambda)$ and $\Omega^{+}_{[\alpha_{1}]}(A,B,\lambda)$ of meromorphic $p$-valent functions defined by certain linear operator involving the generalized hypergeometric function. The main object is to investigate the various important properties and characteristics of these subclasses of meromorphically multivalent functions. We extend the familiar concept of neighborhoods of analytic functions to these subclasses. We also derive many interesting results for the Hadamard products of functions belonging to the class $\Omega^{+}_{[\alpha_{1}]}(\alpha,\beta,\gamma,\lambda)$.