Example 8.  Find Pade approximations for [Graphics:Images/PadeApproximationMod_gr_300.gif] expanded about  [Graphics:Images/PadeApproximationMod_gr_301.gif].  

Solution 8.

[Graphics:../Images/PadeApproximationMod_gr_302.gif]

[Graphics:../Images/PadeApproximationMod_gr_303.gif]

[Graphics:../Images/PadeApproximationMod_gr_304.gif]
[Graphics:../Images/PadeApproximationMod_gr_305.gif]

[Graphics:../Images/PadeApproximationMod_gr_306.gif]

[Graphics:../Images/PadeApproximationMod_gr_307.gif]
[Graphics:../Images/PadeApproximationMod_gr_308.gif]

[Graphics:../Images/PadeApproximationMod_gr_309.gif]

[Graphics:../Images/PadeApproximationMod_gr_310.gif]
[Graphics:../Images/PadeApproximationMod_gr_311.gif]

[Graphics:../Images/PadeApproximationMod_gr_312.gif]

[Graphics:../Images/PadeApproximationMod_gr_313.gif]
[Graphics:../Images/PadeApproximationMod_gr_314.gif]

[Graphics:../Images/PadeApproximationMod_gr_315.gif]

[Graphics:../Images/PadeApproximationMod_gr_316.gif]
[Graphics:../Images/PadeApproximationMod_gr_317.gif]

Animation 12.  ( Pade Approximation  Pade Approximation ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004