• 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
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=810651