Example 3.  Find Pade approximations for [Graphics:Images/PadeApproximationMod_gr_153.gif] expanded about  [Graphics:Images/PadeApproximationMod_gr_154.gif], [Graphics:Images/PadeApproximationMod_gr_155.gif], and [Graphics:Images/PadeApproximationMod_gr_156.gif].  

Solution 3 (a).

[Graphics:../Images/PadeApproximationMod_gr_157.gif]

[Graphics:../Images/PadeApproximationMod_gr_158.gif]

[Graphics:../Images/PadeApproximationMod_gr_159.gif]
[Graphics:../Images/PadeApproximationMod_gr_160.gif]

[Graphics:../Images/PadeApproximationMod_gr_161.gif]

[Graphics:../Images/PadeApproximationMod_gr_162.gif]
[Graphics:../Images/PadeApproximationMod_gr_163.gif]

[Graphics:../Images/PadeApproximationMod_gr_164.gif]

[Graphics:../Images/PadeApproximationMod_gr_165.gif]
[Graphics:../Images/PadeApproximationMod_gr_166.gif]

[Graphics:../Images/PadeApproximationMod_gr_167.gif]

[Graphics:../Images/PadeApproximationMod_gr_168.gif]
[Graphics:../Images/PadeApproximationMod_gr_169.gif]

[Graphics:../Images/PadeApproximationMod_gr_170.gif]

[Graphics:../Images/PadeApproximationMod_gr_171.gif]
[Graphics:../Images/PadeApproximationMod_gr_172.gif]

Animation 1.  ( Pade Approximation  Pade Approximation ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004