On Fekete-Szegö Problems for Certain Subclasses Defined byq-Derivative

Abstract

We derive the Fekete-Szegö theorem for new subclasses of analytic functions which areq-analogue of well-known classes introduced before.

Fekete-Szegö Problem for Certain Subclass of Analytic Functions with Complex Order Defined by q-Analogue of Ruscheweyh Operator

“…Taking γ = 0 and b = 1 in Theorem 1.2, we obtain the following corollary which improves the result of Aldweby and Darus [3,Theorem 10].…”

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.…”

Univalence of New General Integral Operator Defined by the Ruscheweyh Type q-Difference Operator

“…where R υ f (z) is Ruscheweyh operator that was presented in [24] and has been examined by many authors, for instance [19] and [26]. In fact, the q-derivative type of Ruscheweyh operator has been studied recently by Hussain et.al [17], Aldweby and Darus [3] for different properties. Other type of q-derivative can be seen in [16].…”