DocumentCode :
810651
Title :
On the evaluation of \\sum ^\\infty _{n=0} n^{k}x^{n} with applications to Z transforms
Author :
Abed, Hikmat A.
Author_Institution :
Lebanese University, Beirut, Lebanon
Volume :
17
Issue :
6
fYear :
1972
fDate :
12/1/1972 12:00:00 AM
Firstpage :
835
Lastpage :
836
Abstract :
A particularly simple procedure for evaluating the power series Sum\\min{n=0}\\max {\\infty } n^{k}x^{n} , where k is a nonnegative integer, is presented. A general formula for the sum of the above series is given in which the required coefficients are obtained from a matrix which is constructed by inspection. One area of application is shown to be the evaluation of Z -transfer functions.
Keywords :
Power series; Z transforms; Argon; Art; Convergence; Equations; Helium; Inspection; Polynomials;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1972.1100175
Filename :
1100175
Link To Document :
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