Abstract Language standardization involves minimizing variation, especially in written forms of language. That process includes judgments about people who don‘t or can‘t use the standard forms. These kinds can unfairly limit people's access to opportunities, including educational and professional realms. In this essay, we discuss standardized language varieties specific ways beliefs ideologies ...

For p-valently Janowski starlike and convex functions defined by applying subordination for the generalized Janowski function, the sharp upper bounds of a functional |a p2 − μa 2 p1 | related to the Fekete-Szegö problem are given.

We introduce new classes of meromorphic multivalent quasi-convex functions and find some sufficient differential subordination theorems for such classes in punctured unit disk with applications in fractional calculus.

In this paper, we derive several interesting subordination results for certain class of analytic functions defined by the linear operator L(a, c)f(z) which introduced and studied by Carlson and Shaffer [2].