Complex Multivariate Taylor Formula

  • George A. AnastassiouEmail author
Part of the Studies in Computational Intelligence book series (SCI, volume 886)


We derive here a Taylor’s formula with integral remainder in the several complex variables and we estimate its remainder. See also [1].


  1. 1.
    G.A. Anastassiou, Complex multivariate taylor’s formula. J. Comput. Anal. Appl. (2019)Google Scholar
  2. 2.
    C. Caratheodory, Theory of Functions of a Complex Variable, vol. Two (Chelsea Publishing Company, New York, 1954)zbMATHGoogle Scholar
  3. 3.
    S.G. Krantz, Function Theory of Several Complex Variables, 2nd edn. (AMS Chelsea publishing Providence, Rhode Island, 2001)zbMATHGoogle Scholar
  4. 4.
    G.E. Shilov, Elementary Functional Analysis (Dover Publications Inc., New York, 1996)Google Scholar

Copyright information

© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of Mathematical SciencesUniversity of MemphisMemphisUSA

Personalised recommendations