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 (b).

[Graphics:../Images/PadeApproximationMod_gr_173.gif]

[Graphics:../Images/PadeApproximationMod_gr_174.gif]

[Graphics:../Images/PadeApproximationMod_gr_175.gif]
[Graphics:../Images/PadeApproximationMod_gr_176.gif]

[Graphics:../Images/PadeApproximationMod_gr_177.gif]

[Graphics:../Images/PadeApproximationMod_gr_178.gif]
[Graphics:../Images/PadeApproximationMod_gr_179.gif]

[Graphics:../Images/PadeApproximationMod_gr_180.gif]

[Graphics:../Images/PadeApproximationMod_gr_181.gif]
[Graphics:../Images/PadeApproximationMod_gr_182.gif]

[Graphics:../Images/PadeApproximationMod_gr_183.gif]

[Graphics:../Images/PadeApproximationMod_gr_184.gif]
[Graphics:../Images/PadeApproximationMod_gr_185.gif]

[Graphics:../Images/PadeApproximationMod_gr_186.gif]

[Graphics:../Images/PadeApproximationMod_gr_187.gif]
[Graphics:../Images/PadeApproximationMod_gr_188.gif]

Animation 2.  ( Pade Approximation  Pade Approximation ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004