On meromorphic convex functions of order reverse α and their properties

Subject Areas : Statistics

Sirous Moradi ¹ (Associate Professor, Department of Mathematics, Faculty of science, Lorestan University, 68151-4-4316, Khorramabad, Iran,)
Mohammad Taati ² (Department of Mathematics, Payame Noor University, P.O.Box 19395- 3697, Tehran, Iran.)

Received: 2020-10-29 Accepted : 2020-12-15 Published : 2021-02-19

Keywords: محدب, تحلیلی, ستاره گون, خو شریخت,

Abstract :

We know that ameromorphic function, is an analytic function on domain D such that,its single singular points on domain D, are of pole type. These functions are also called regular functions. Recently, meromorphic convex functions of order α have been defined and their properties have been investigated. In this paper, at first we introduce the meromorphic convex functions of inverse order α. In fact, convex functions of order revers α are a special class of analytic functions on unit open disk U that satisfy the following property:R(1+(f^' (z))/(zf^'' (z)))

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