Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions

Abstract

To consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator. The defined function class combines the concept of spiral-like functions with other studies pertaining to subclasses of multivalent meromorphic functions. Inclusion relations, integral representation, geometrical interpretation, coefficient estimates and solution to the Fekete-Szegö problem of the defined classes are the highlights of this present study. Further to keep up with the present direction of research, we extend the study using quantum calculus. Applications of our main results are given as corollaries.

Basic Properties for Certain Subclasses of Meromorphic p-Valent Functions with Connected q-Analogue of Linear Differential Operator

“…and Theorem 2 follows easily from ( 29) and (30), and it is easy to have the bounds in (27) are attained for F given by (28).…”

“…Also the concept of δ neighborhoods and partial sums of analytic functions to the class M n,q p,α (η, A, B). Interesting results about meromorphic functions can be found in the works [25][26][27][28][29][30][31].…”