In this method,the intranodal flux distributions are expanded by analytic basis functions and orthogonal second-order polynomials for each group,and the fixed source terms including delayed neutron precursor concentration are approximated in terms of polynomials.

The method expands the intranodal homogeneous flux distributions in analytic basis functions for each energy group.

The neutron flux distributions within a node were expanded in a series of analytic basis functions for each group.

On the deducing and the teaching of Cauchy-Rieman equations of analytic function;

Some properties of p-valents analytic functions with negative coefficients;

A sufficient and necessary condition of the analytic function with the higher-order derivative;

By mirror image method and regularity of analytical function,the expression of the electric potential and intensity of a line charge within a thin cylindrical conductor are obtained,and the equations of the equipotential lines and the electric field lines are obtained.

Based on relationship between analytical functions and Bezier curves,the numerical method of conversion between them was presented.

Also, an expression formula for this analytical function is obtained.

A subclass of p-valent analytic functions defined by Ruscheweyh derivatives;

On a subclass of analytic functions with negative coefficients;

Properties of analytic functions defined by Noor integral operator;

An analytical trial function method (ATF) was developed based on the quadrilateral area coordinate system (QAC-II) for plane elements (ACATF).

Based on the analytical trial functions,two 5-node membrane elements named ATFM5-I and ATFM5-II were proposed.

Based on the analytical trial functions,a 4-node 8 degrees-of-freedom generalized conforming plane element with internal parameters is developed in this paper.

In this paper, we consider the properties of so_called N_analytic functions, integral formula of Cauchy type and the problem of Riemann boundary value.