On subclass of univalent functions with negative coefficients

Some Geometric Properties of Analytic Functions Involving a New Fractional Operator

“…We note that the fractional operator D ν,0 0 defined by (1.2) is precisely the Ruscheweyh derivative operator R ν of order ν (ν > −1) and D 0,0 λ is the fractional differintegral operator Ω λ z of order λ (−∞ < λ < 2) , while D 0,n 0 = D n and D 1−λ,n λ = D n+1 are the Sȃlȃgean operators, respectively, of order n and n + 1 (n ∈ N 0 ) . There are numerous results in the literature on the Geometric Function Theory which are based on the use of the Ruscheweyh, Sȃlȃgean, and the fractional differintegral operators (see, for instance, the works in [6][7][8][9][10]13,17,[19][20][21][22][23]26,28,29]; see also [27] (and the references cited therein).…”

Radii Problems of Certain Subclasses of Analytic Functions With Fixed Second Coefficients

“…For the special choice of the parameters, we have the following classes: (i) S 0 (n, α) = S(n, α) studied by Salagean [10] and Kadioglu [4],…”

On a Certain Integral Operator

“…(i) If we put A = −(1 − 2β), 0 ≤ β < 1, B = 1 then it reduces to the class S(n, β) studied by Kadioǧlu [12].…”