1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Multinomial Expansion

  1. Sep 5, 2009 #1

    Is there a simple programmable form of multinomial expansion, like a summation with explicit and clear lower and upper limits?

  2. jcsd
  3. Sep 7, 2009 #2


    User Avatar
    Science Advisor

    It is a little messy. The general term is (n!/[m1!m2!...mk!])a1m1a2m2...akmk. The sum limits are all mj >=0 and m1+m2+...+mk=n.

    To simplify typing all aj and mj should be thought of as being subscripted. k is the total number of variables.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook