A Symbolic Operator Approach to Newton Series
A Symbolic Operator Approach to Newton Series
摘要
In this paper, we present several expansions of the symbolic operator （1 ＋E）^x. Moreover, we derive some series transforms formulas and the Newton generating functions of {f（k）}.
In this paper, we present several expansions of the symbolic operator （1 ＋E）^x. Moreover, we derive some series transforms formulas and the Newton generating functions of {f（k）}.
基金
Supported by the Fundamental Research Funds for the Central Universities
参考文献8
-
1GELFAND A O. Finite Difference Computation [M]. Higher Educational Publishing House, 1955.
-
2JORDAN C. Calculus of Finite Differences [M]. Chelsea, New York, 1965.
-
3MILNE-THOMSON L. M. The Calculus of Finite Differences [M]. Macmillan and Co. Ltd., London 1933.
-
4COMTET L. Advanced Combinatorics [M]. Reidel, Dordrecht, 1974.
-
5WILF H S. Generatingfunctionology [M]. Academic Press. New York. 1990.
-
6HE Tianxiao, HSU L C, SHIUE P J S. et al. A symbolic operator approach to several summation formulas for power series [J]. J. Comput. Appl. Math., 2005, 177(1): 17-33.
-
7WALSH J L. Interpolation and Approximation by Rational Functions in the Complex Domain [M]. American Mathematical Society, Providence, R.I. 1965.
-
8ANDREW G E, ASKEY R, ROY R. Specied Functions [M]. Cambridge University Press, 2000.
