Example 9.  Find Pade approximations for [Graphics:Images/PadeApproximationMod_gr_318.gif] expanded about  [Graphics:Images/PadeApproximationMod_gr_319.gif].  

Solution 9.

[Graphics:../Images/PadeApproximationMod_gr_320.gif]

[Graphics:../Images/PadeApproximationMod_gr_321.gif]

[Graphics:../Images/PadeApproximationMod_gr_322.gif]
[Graphics:../Images/PadeApproximationMod_gr_323.gif]

[Graphics:../Images/PadeApproximationMod_gr_324.gif]

[Graphics:../Images/PadeApproximationMod_gr_325.gif]
[Graphics:../Images/PadeApproximationMod_gr_326.gif]

[Graphics:../Images/PadeApproximationMod_gr_327.gif]

[Graphics:../Images/PadeApproximationMod_gr_328.gif]
[Graphics:../Images/PadeApproximationMod_gr_329.gif]

[Graphics:../Images/PadeApproximationMod_gr_330.gif]

[Graphics:../Images/PadeApproximationMod_gr_331.gif]
[Graphics:../Images/PadeApproximationMod_gr_332.gif]

Animation 13.  ( Pade Approximation  Pade Approximation ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004