Example 5.  Find Pade approximations for [Graphics:Images/PadeApproximationMod_gr_223.gif] expanded about  [Graphics:Images/PadeApproximationMod_gr_224.gif], and [Graphics:Images/PadeApproximationMod_gr_225.gif].  

Solution 5 (a).

[Graphics:../Images/PadeApproximationMod_gr_226.gif]

[Graphics:../Images/PadeApproximationMod_gr_227.gif]

[Graphics:../Images/PadeApproximationMod_gr_228.gif]
[Graphics:../Images/PadeApproximationMod_gr_229.gif]

[Graphics:../Images/PadeApproximationMod_gr_230.gif]

[Graphics:../Images/PadeApproximationMod_gr_231.gif]
[Graphics:../Images/PadeApproximationMod_gr_232.gif]

[Graphics:../Images/PadeApproximationMod_gr_233.gif]

[Graphics:../Images/PadeApproximationMod_gr_234.gif]
[Graphics:../Images/PadeApproximationMod_gr_235.gif]

[Graphics:../Images/PadeApproximationMod_gr_236.gif]

[Graphics:../Images/PadeApproximationMod_gr_237.gif]
[Graphics:../Images/PadeApproximationMod_gr_238.gif]

[Graphics:../Images/PadeApproximationMod_gr_239.gif]

[Graphics:../Images/PadeApproximationMod_gr_240.gif]
[Graphics:../Images/PadeApproximationMod_gr_241.gif]

Animation 5.  ( Pade Approximation  Pade Approximation ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004