Applications of a q-Salagean type operator on multivalent functions

Abstract

In this paper, we introduce a new class k-US (q, γ , m, p), γ ∈ C\{0}, of multivalent functions using a newly defined q-analogue of a Salagean type differential operator. We investigate the coefficient problem, Fekete-Szego inequality, and some other properties related to subordination. Relevant connections of the results presented here with those obtained in the earlier work are also pointed out. MSC: Primary 30C45; secondary 30C50

Properties of Spiral-Like Close-to-Convex Functions Associated with Conic Domains

“…In recent years, several interesting subclasses of analytic functions were introduced and investigated from different viewpoints (see, for example, [6,[15][16][17][18][19][20]; see also [21][22][23][24][25]). Motivated and inspired by the recent and current research in the above-mentioned work, we here introduce and investigate certain new subclasses of analytic and p-valent functions by using the concept of conic domains and spiral-like functions as follows.…”

A subclass of univalent functions associated with $q$-analogue of Choi-Saigo-Srivastava operator

“…Aldweby and Darus [1], Mahmood and Sokol [18] studied some classes of analytic functions defined by means of q-analogue of Ruscheweyh differential operator. Many q-differential and qintegral operators can be written in terms of convolution, for details see [11,12,22,23,25]. The current paper aims to express a q-analogue of Choi-Saigo-Srivastava operator involving convolution concepts.…”

A New Subclass of Analytic Functions Defined by Using Salagean q-Differential Operator

“…The class k − U CV was discussed earlier in [8], also with some extra restrictions and without geometrical interpretation by Bharati et al [9]. Several authors investigated the properties of the subclasses of S * and C with their generalizations in several directions; for a detailed study, see [6,[10][11][12][13][14][15][16][17][18].…”