• DocumentCode
    3757936
  • Title

    Lagrange Inversion and Lambert W

  • Author

    D.J. Jeffrey;G.A. Kalugin;N. Murdoch

  • Author_Institution
    Dept. of Appl. Math., Univ. of Western Ontario, London, ON, Canada
  • fYear
    2015
  • Firstpage
    42
  • Lastpage
    46
  • Abstract
    We show that Lagrange inversion can be used to obtain closed-form expressions for a number of series expansions of the Lambert W function. Equivalently, we obtain expressions for the nth derivative. Various integer sequences related to the series expansions now can be expressed in closed form.
  • Keywords
    "Encyclopedias","Taylor series","Scientific computing","Closed-form solutions","Indexes"
  • Publisher
    ieee
  • Conference_Titel
    Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), 2015 17th International Symposium on
  • Type

    conf

  • DOI
    10.1109/SYNASC.2015.16
  • Filename
    7426060
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3757936