Surveys in Mathematics and its Applications

ISSN1842-6298 (electronic), 1843-7265 (print)

Volume 14 (2019), 149 -- 158

This work is licensed under a Creative Commons Attribution 4.0 International License.## q-DERIVATIVE ON p-VALENT MEROMORPHIC FUNCTIONS ASSOCIATED WITH CONNECTED SETS

## Sh. Najafzadeh

Abstract. In this article, two subfamilies of \pval meromorphic functions by means of \qder are defined. With that, we study coefficient inequality, distortion bounds and convex family of these subclasses. Also connected sets structure is investigated.2010 Mathematics Subject Classification:30C45; 30C50.

Keywords:p-valent meromorphic function; q-derivative; coefficient estimate; distortion bound; convexity; connected set.

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Sh. Najafzadeh

Department of Mathematics,

Payame Noor University,

Post Office Box: 19395--3697, Tehran, Iran.

e-mail: najafzadeh1234@yahoo.ie