Leibniz’ Formula of Generalized Difference with Respect to a Class of Differential Operators and Recurrence Formula of Their Green’s Function

Xu Yue-sheng

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Article Navigation > Applied Mathematics and Mechanics > 1984 > 5(3): 391-398

Xu Yue-sheng. Leibniz’ Formula of Generalized Difference with Respect to a Class of Differential Operators and Recurrence Formula of Their Green’s Function[J]. Applied Mathematics and Mechanics, 1984, 5(3): 391-398.

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Leibniz’ Formula of Generalized Difference with Respect to a Class of Differential Operators and Recurrence Formula of Their Green’s Function

Xu Yue-sheng

Department of Computer Science, Zhongshan University, Guangzhou

Received Date: 1983-06-27
Publish Date: 1984-06-15

Abstract

Abstract

In this paper, Leibniz' formula of generalized divided difference with respect to a class of differential operators whose basic sets of solutions have power form, is considered. The recurrence formula of Green function about the operators has also been given.

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References(3)

References

[1]	(1) L.Schumaker,Larry,Spline Function: Basic Theory,New York,(1981).
[2]	(2) de Boor,Carl,A Practical Guide to Spline,New York,(1978).
[3]	(3) 李岳生.δ函数、格林函数与样条函数,中山大学自然科学论文选(1955-1978).