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.

Differential structure of a d-dimensional lattice, which essentially is a noncommutative exterior algebra, is defined using both reductions in 1-order plus 2-order of universal differential calculus in the context of NCG developed by Dimakis et al , and the formalism adopting a Dirac-Connes operator proposed by us recently within Connes’ NCG. Metric structure on this lattice and on differential...

The main purpose of this paper is to obtain an explicit expression of a family of matrix valued orthogonal polynomials {Pn}n, with respect to a weight W , that are eigenfunctions of a second order differential operator D. The weight W and the differential operator D were found in [12], using some aspects of the theory of the spherical functions associated to the complex projective spaces. We al...

Considering the family F of contour curves F = {h(x, y) = k) of an (idempotent) aggregation operator h in two variables as a oneparametric family of curves, the differential equation y′ = f(x, y) having F as general solution is associated to h. Properties of h have then be translated to properties of its differential equation. Reciprocally, for a differential equation fulfilling some easy prope...