Making use of the generalized Srivastava-Attiya integral operator, we define a new subclass of starlike functions with negative coefficients and obtain coefficient estimates, extreme points, the radii of close to convexity, starlikeness and convexity and neighbourhood results for f ∈ TS b (α, β, γ, A,B). In particular, we obtain modified Hadamard product results for the function f(z) belongs to...

In our present study, two subclasses of starlike functions which are symmetric about the origin considered. These classes defined with use sigmoid function and trigonometric function, respectively. We estimate first four initial logarithmic coefficients, Zalcman functional, Fekete–Szegö bounds second-order Hankel determinants coefficients for class Sseg* improve obtained existing determinant se...

Making use of the generalized hypergeometric functions, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients and obtain coefficient estimates, extreme points, the radii of close-to-convexity, starlikeness and convexity, and neighborhood results for the class TSm α, β, γ . In particular, we obtain integral means ineq...

Estimates on the initial coefficients are obtained for normalized analytic functions f in the open unit disk with f and its inverse g = f−1 satisfying the conditions that zf ′(z)/f(z) and zg′(z)/g(z) are both subordinate to a starlike univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are also considered, and connections to earlier kn...

Let A be the class of analytic functions in the open unit disk U . For complex numbers a, b and c (c 6= 0,−1,−2, ....), let I c be the operator defined on A by (I c (f))(z) = z2F1(a, b; c; z) ∗ f(z) where 2F1(a, b; c; z) is the Gaussian hypergeometric function. The function f in A is said to be in the class k − SP c if I a,b c (f) is a k-parabolic starlike function. For this class the Fekete-Sz...

A starlike function f is characterized by the quantity $$zf'(z)/f(z)$$ lying in right half-plane. This paper deals with sharp bounds for certain Toeplitz determinants whose entries are coefficients of functions which takes values specific subset The results obtained include several new special cases and some known results.

Coefficient bounds for some subclasses of p-valently starlike functions Abstract. For functions of the form f(z) = z+ ∑∞ n=1 ap+nz p+n we obtain sharp bounds for some coefficients functionals in certain subclasses of starlike functions. Certain applications of our main results are also given. In particular, Fekete–Szegö-like inequality for classes of functions defined through extended fractiona...

"Let $\mathcal{S}^*_e$ and $\mathcal{S}^*_B$ denote the class of analytic functions $f$ in open unit disc normalized by $f(0)=0=f'(0)-1$ satisfying, respectively, following subordination relations: $$ \frac{zf'(z)}{f(z)}\prec e^z\quad{\rm and}\quad\frac{zf'(z)}{f(z)}\prec e^{e^z-1}.$$ In this article, we investigate majorization problems for classes without acting upon any linear or nonlinear o...

By making use of a higher-order q-derivative operator, certain families meromorphic q-starlike functions and q-convex are introduced studied. Several sufficient conditions coefficient inequalities for in these subclasses derived. The results presented this article extend generalize number previous results.