Using differential subordination, we consider conditions of β so that some multivalent analytic functions are subordinate to (1+z)γ (0<γ≤1). Notably, these results applied derive sufficient for f∈A satisfy the condition zf′(z)f(z)2−1<1. Several previous extended.

The purpose of this  paper, is to  present  differential  operator for the univalent    functions  employ a Faber Polynomial . In addition, we will introduce some inclusion properties operator that were obtained principle subordination between holomorphic functions.

The symmetric Schur process has many different types of formals, such as the functional differential, integral, and special processes based on functions. In this effort, normalized (NSSP) is defined then used to determine geometric interpretations mathematical expressions in a complex domain (the open unit disk). To obtain more properties involving NSSP, we consider differential operator. outco...

Strong dierential subordination and superordination properties are determined for some familiesanalytic functions in the open unit disk which are associated with the Komatu operator by investigatingappropriate classes of admissible functions. New strong dierential sandwich-type results arealso obtained.

The results from this paper are related to the geometric function theory. In order obtain them, we use technique based on differential subordination, one of newest techniques used in field, also known as admissible functions. For that, appropriate classes functions first defined. Based these classes, some subordination and superordination for multivalent meromorphic functions, analytic puncture...

We present a corpus-based investigation of cases of clause combination that can be expressed both through coordination or with subordination. We analyse the data with a two-step computational model which first distinguishes subordination from coordination and then determines the direction for cases of subordination. We find that a wide range of features help with the prediction, notably frequen...

In this paper, we consider some relations related to the representations of starlike and convex functions, obtain sufficient conditions for functions by using theory differential subordination. Actually, generalize a result Suffridge analytic with missing coefficients then apply that generalization obtaining different methods implications or functions. Our results improve previous in literature.