Series2

Description

Series2 performs a series expansion around 0. Series2 is (up to the Gamma - bug) equivalent to Series, except that it applies Normal on the result and has an option FinalSubstitutions. Series2[f, e, n] is equivalent to Series2[f, {e, 0, n}]. 

[Graphics:Images/index_gr_1.gif]
[Graphics:Images/index_gr_2.gif]
Examples 
[Graphics:Images/index_gr_3.gif]
[Graphics:Images/index_gr_4.gif]
[Graphics:Images/index_gr_5.gif]
[Graphics:Images/index_gr_6.gif]
[Graphics:Images/index_gr_7.gif]
[Graphics:Images/index_gr_8.gif]
[Graphics:Images/index_gr_9.gif]
[Graphics:Images/index_gr_10.gif]
[Graphics:Images/index_gr_11.gif]
[Graphics:Images/index_gr_12.gif]
[Graphics:Images/index_gr_13.gif]
[Graphics:Images/index_gr_14.gif]

There is a table of expansions of special hypergeometric functions. 

[Graphics:Images/index_gr_15.gif]
[Graphics:Images/index_gr_16.gif]
[Graphics:Images/index_gr_17.gif]
[Graphics:Images/index_gr_18.gif]
[Graphics:Images/index_gr_19.gif]
[Graphics:Images/index_gr_20.gif]
[Graphics:Images/index_gr_21.gif]
[Graphics:Images/index_gr_22.gif]

There are over 100 more special expansions of [Graphics:Images/index_gr_23.gif] tabulated in Series2.m. The interested user can consult the source code (search for HYPERLIST).

The FeynCalc Book   previousSelectNotFree   nextSimplifyDeltaFunction
Converted from the Mathematica notebook Series2.nb