In the present paper we investigate a class of multivalently analytic functions which essentially involves a Hadamard product of two multivalent functions. We apply the techniques of differential subordination and derive some useful characteristics of this function class. The applications to generalized hypergeometric functions and various consequences of the main results exhibiting also releva...

The purpose of this paper is to derive some subordination and superordination results for functions of the form f(z) = zp + ∞ ∑ k=p+1 akz k which are p−valent in the open unit disk U = {z ∈ C : |z| < 1} by using certain differential operator Aλ,p(α, β, μ)f(z) and integral operator F m p (ρ, θ)f(z). Some special cases are also considered.

The Bessel–Struve kernel function defined in the unit disc is used this study. functions are generalized article, and differential equations derived. We found conditions under which Lemniscate convex by using a subordination technique. relation between Janowski class exponential also

We determine the sufficient conditions for subordination for new classes of normalized analytic functions with applications in fractional calculus in complex domain. 2010 Mathematics Subject Classification: 34G10, 26A33, 30C45.

Fuzzy differential subordination theory represents a generalization of the classical concept which emerged in recent years as result embedding fuzzy set into geometric function theory. The fractional integral Gaussian hypergeometric is defined this paper and using properties chains, new subordinations are obtained. Dominants given particular functions such dominants, interesting interpreted inc...

In this study we investigate the sharp radius of starlikeness subclasses Ma and Minda class for ratio analytic functions which are related to limaçon functions. This survey is connected also first-order differential subordinations. context, get condition on β certain subordinations associated with imply starlike Simple c...