Example 7.  Find Pade approximations [Graphics:Images/PadeApproximationMod_gr_279.gif] expanded about  [Graphics:Images/PadeApproximationMod_gr_280.gif].  

Solution 7.

[Graphics:../Images/PadeApproximationMod_gr_281.gif]


[Graphics:../Images/PadeApproximationMod_gr_282.gif]

[Graphics:../Images/PadeApproximationMod_gr_283.gif]
[Graphics:../Images/PadeApproximationMod_gr_284.gif]

[Graphics:../Images/PadeApproximationMod_gr_285.gif]

[Graphics:../Images/PadeApproximationMod_gr_286.gif]
[Graphics:../Images/PadeApproximationMod_gr_287.gif]

[Graphics:../Images/PadeApproximationMod_gr_288.gif]

[Graphics:../Images/PadeApproximationMod_gr_289.gif]
[Graphics:../Images/PadeApproximationMod_gr_290.gif]

[Graphics:../Images/PadeApproximationMod_gr_291.gif]

[Graphics:../Images/PadeApproximationMod_gr_292.gif]
[Graphics:../Images/PadeApproximationMod_gr_293.gif]

[Graphics:../Images/PadeApproximationMod_gr_294.gif]

[Graphics:../Images/PadeApproximationMod_gr_295.gif]
[Graphics:../Images/PadeApproximationMod_gr_296.gif]

[Graphics:../Images/PadeApproximationMod_gr_297.gif]

[Graphics:../Images/PadeApproximationMod_gr_298.gif]
[Graphics:../Images/PadeApproximationMod_gr_299.gif]

Animation 9.  ( Pade Approximation  Pade Approximation ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004