direct analytic continuation

Infinite integrals of coefficients of algebraic equations are reduced to finite integrals by using contour integral and the principle of analytic continuation.

并提出可以用围线积分和解析开拓原理把方程组系数的无穷积分化为有穷积分。

It is important to study the function singularities by Taylor s development in the theory of analytic continuation.

利用函数的泰勒展开研究函数奇点问题是函数解析开拓理论研究的重要课题。

The research on that"Taylor series generally considers its convergent circle as the cut secant"is an important problem of analytic continuation.

"泰勒展开是否以收敛圆为割线"问题是解析开拓理论研究的重要课题,但对此国内外尚无全面细致地研究。

The proof of the result is constructive and is based upon continuation methods.

结论的证明基于解析开拓法,并具有可构造性。