Based on Karman equation, nonlinear problems of circular plates under the actionof combined loads in transverse direction and neutral plan are analyzed,taking Hermite polynomialas a trial function,and weighted residual method being used.

In this paper, the generalized Hermite polynomials are considered for spectral methods.

In order to improve the transfinte interpolation surfaces, two kinds of C1-continuity Coons patches with shape parameter were constructed by two classes of λ-Hermite polynomial functions on triangles.

The equiralence of two different differential representations of Hermite polynomials is demonstrated by means of two methods.

It is proved that if the zeros of Hermite polynomials are taken as the interpolation nodes, then holds, n→∞, where f(x) is any continuous function on the real line that satisfies |f(x)|=

In this paper,a product formula for Hermite polynomials is obtained.

Basing on cubic H-Hermite polynomials,a new type of curve called cubic H-Cardinal spline curves constructed by a set of special basis functions is presented.

This paper extends the Roll theorem and with the result, discusses the distribution of zero point in the Legender and Tchebycheff Hermite multinomials.