Example 4.  Find Pade approximations for [Graphics:Images/PadeApproximationMod_gr_205.gif] expanded about  [Graphics:Images/PadeApproximationMod_gr_206.gif].  

Solution 4.

[Graphics:../Images/PadeApproximationMod_gr_207.gif]


[Graphics:../Images/PadeApproximationMod_gr_208.gif]

[Graphics:../Images/PadeApproximationMod_gr_209.gif]
[Graphics:../Images/PadeApproximationMod_gr_210.gif]

[Graphics:../Images/PadeApproximationMod_gr_211.gif]

[Graphics:../Images/PadeApproximationMod_gr_212.gif]
[Graphics:../Images/PadeApproximationMod_gr_213.gif]

[Graphics:../Images/PadeApproximationMod_gr_214.gif]

[Graphics:../Images/PadeApproximationMod_gr_215.gif]
[Graphics:../Images/PadeApproximationMod_gr_216.gif]

[Graphics:../Images/PadeApproximationMod_gr_217.gif]

[Graphics:../Images/PadeApproximationMod_gr_218.gif]
[Graphics:../Images/PadeApproximationMod_gr_219.gif]

[Graphics:../Images/PadeApproximationMod_gr_220.gif]

[Graphics:../Images/PadeApproximationMod_gr_221.gif]
[Graphics:../Images/PadeApproximationMod_gr_222.gif]

Animation 4.  ( Pade Approximation  Pade Approximation ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004