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...

In this paper sufficient conditions are determined for functions of the form f(z) = z 1 + ∞ ∑ 1 bkz k , f(z) = z (1 + zn)k and certain other types of functions to be parabolic

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.

It is well known that the parabolic partial differential equations in two or more space dimensions with overspecified boundary data, feature in the mathematical modeling of many phenomena. In this article, an inverse problem of determining an unknown time-dependent source term of a parabolic equation in general dimensions is considered. Employing some transformations, we change the inverse prob...

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...