Properties and Applications of a Tan–G Family of ”Adaptive Functions”

In this note we study some properties of an new TAN–G class of trigonometric cumulative distribution functions proposed by Souza, O. Junior, de Brito, Chesneau, Fernandes and Ferreira [1]. We consider also modified families of ”adaptive functions” with ”polynomial variable transfer” with applications to the Antenna–feeder Analysis. We study the ”saturation” - d in the Hausdorff sense for some special cases of this family. The article discusses only model aspects of the possible application that this new family finds in the above area. The models are very sensitive to the coefficients of the polynomial (respectively the number and location of its zeros). This makes these models attractive for simulations. Numerical examples, illustrating our results using CAS MATHEMATICA are given.