Application of Quasisubordination to Certain Classes of Meromorphic Functions

Abstract

Inequalities play a fundamental role in many branches of mathematics and particularly in real analysis. By using inequalities, we can find extrema, point of inflection, and monotonic behavior of real functions. Subordination and quasisubordination are important tools used in complex analysis as an alternate of inequalities. In this article, we introduce and systematically study certain new classes of meromorphic functions using quasisubordination and Bessel function. We explore various inequalities related with the famous Fekete-Szego inequality. We also point out a number of important corollaries.

q -Janowski type close-to-convex functions associated with a convolution operator

“…It is noted that for µ = 1, the function class k − UK q (µ, λ, M, N, O) reduces to well known class k − UK q (λ, M, N, O) introduced by Naeem et al [12], for µ = 1 along with q → 1, the class k − UK q (µ, λ, M, N, O) bring to well-known class interpreted, see details in [10], 0 − UK q→1 (1, λ, M, N, O) = K(λ, M, N, O) studied by Srivastava et al [21], k − UK q→1 (1, 1, −1, 1, −1) = k − UK is the class of kuniformly close-to-convex investigated by Acu et al [1] and 0 − UK q→1 (1, 1, −1, 1, −1) = K the class of close-to-convex, see [9,17,19,20,[22][23][24] for more details.…”

q-Meromorphic closed-to-convex functions related with Janowski function

“…Motivated by the works of Srivastava et al see ( [7, 17, 19, 23, 25, 27])also see( [4,13,15,24,29]). In this paper, we shall consider new subfamilies of q meromorphic close-to-convex functions with respect to Janowski functions.…”

Multivalent Functions Related with an Integral Operator

“…For λ ∈ A p , given by (1), and using properties of gamma function, we have We also denote (1) for which arg(a t ) � π + (n − 1)η. For more details, see [15][16][17][18][19][20].…”