*Article* **Some Reciprocal Classes of Close-to-Convex and Quasi-Convex Analytic Functions**

#### **Shahid Mahmood 1, Janusz Sokół 2, Hari Mohan Srivastava 3,4 and Sarfraz Nawaz Malik 5,\***


Received: 18 December 2018; Accepted: 22 March 2019; Published: 27 March 2019

**Abstract:** The present paper comprises the study of certain functions which are analytic and defined in terms of reciprocal function. The reciprocal classes of close-to-convex functions and quasi-convex functions are defined and studied. Various interesting properties, such as sufficiency criteria, coefficient estimates, distortion results, and a few others, are investigated for these newly defined sub-classes.

**Keywords:** subordination; functions with positive real part; reciprocals

**MSC:** 30C45; 30C50
