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 (b).

[Graphics:../Images/PadeApproximationMod_gr_242.gif]

[Graphics:../Images/PadeApproximationMod_gr_243.gif]

[Graphics:../Images/PadeApproximationMod_gr_244.gif]
[Graphics:../Images/PadeApproximationMod_gr_245.gif]

[Graphics:../Images/PadeApproximationMod_gr_246.gif]

[Graphics:../Images/PadeApproximationMod_gr_247.gif]
[Graphics:../Images/PadeApproximationMod_gr_248.gif]

[Graphics:../Images/PadeApproximationMod_gr_249.gif]

[Graphics:../Images/PadeApproximationMod_gr_250.gif]
[Graphics:../Images/PadeApproximationMod_gr_251.gif]

[Graphics:../Images/PadeApproximationMod_gr_252.gif]

[Graphics:../Images/PadeApproximationMod_gr_253.gif]
[Graphics:../Images/PadeApproximationMod_gr_254.gif]

[Graphics:../Images/PadeApproximationMod_gr_255.gif]

[Graphics:../Images/PadeApproximationMod_gr_256.gif]
[Graphics:../Images/PadeApproximationMod_gr_257.gif]

Animation 6.  ( Pade Approximation  Pade Approximation ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004