Let the class of functions f(z) form f(z)=z+∑k=2∞akzk, which are denoted by A and called analytic in open-unit disk. There many interesting properties concerning subordinations. Applying three lemmas for f(z)∈A provided Miller Mocanu Nunokawa, we consider with Furthermore, provide simple examples our results. We think it is very important to

This paper introduces a novel model for semantic role labeling that makes use of neural sequence modeling techniques. Our approach is motivated by the observation that complex syntactic structures and related phenomena, such as nested subordinations and nominal predicates, are not handled well by existing models. Our model treats such instances as subsequences of lexicalized dependency paths an...

This paper is related to fuzzy differential subordinations for meromorphic functions. Fuzzy subordination results are obtained using a new operator which the combination Hadamard product and integral function.

Double integral operators which were considered by S. S. Miller and P. T. Mocanu Integral Transform. Spec. Funct. 19 2008 , 591–597 are discussed. In order to show the analytic function f z is starlike of order β in the open unit disk U, the theory of differential subordinations for analytic functions is applied. The object of the present paper is to discuss some interesting conditions for f z ...

In the present paper we establish several strong differential subordinations regardind the extended new operator DRm λ defined by the Hadamard product of the extended generalized Sălăgean operator Dm λ and the extended Ruscheweyh derivative Rm, given by DRm λ : Anζ → Anζ , DRm λ f (z, ζ) = (Dm λ ∗Rm) f (z, ζ) , where Anζ = {f ∈ H(U × U), f(z, ζ) = z + an+1 (ζ) zn+1 + . . . , z ∈ U, ζ ∈ U} is th...