We investigate a practical and fast analytic framework for portfolio modeling and tail risk allocation using Hermite polynomials. This framework was first discussed in "An analytical framework for ...

The algebraic description of a curve as a set of parametric cubic polynomial equations and their corresponding vector equation begin this chapter. We see that expressing the algebraic coefficients in ...

Two families of cubic Hermite curves forming a parametric net are the basis of the bicubic Hermite surface. A simple tensor product produces the 16-term polynomial, to which boundary conditions are ...

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Polynomial theory and differential equations intersect at the foundations of modern analysis, combining algebraic structures with continuous change. Polynomial theory studies expressions formed by ...