The aim of this paper is to give a characterization the set roots special family polynomials. This relevant in reliability theory since it contains polynomials networks created by series-parallel compositions. We prove that bounded, being contained two disks radius equal golden ratio, centered at 0 and 1. study closure includes 1 slightly greater than 1, as well sinusoidal spirals respectively....

in this paper we establish several polynomials similar to bernstein's polynomials and several refinements of  hermite-hadamard inequality for convex functions.

Transonic airfoil design problems are solved using a Genetic Algorithm (GA) based optimizer. At the desired operating point, the minimum drag and constant lift targets are achieved through either a scalarized objective function, involving an arbitrary weighting factor, or the Pareto technique. For the optimization of an airfoil at two operating points, similar approaches are used. The CPU cost ...

In this paper, the class of (p,q)-Bessel-Appell polynomials is introduced. The generating function, series definition and determinant are established. Certain members considered some properties these also derived. Further, 2D introduced by means function definition. addition, graphical representations plotted with help Matlab.