Example 6.  Find Pade approximations for [Graphics:Images/PadeApproximationMod_gr_258.gif] expanded about  [Graphics:Images/PadeApproximationMod_gr_259.gif].  

Solution 6.

[Graphics:../Images/PadeApproximationMod_gr_260.gif]

[Graphics:../Images/PadeApproximationMod_gr_261.gif]

[Graphics:../Images/PadeApproximationMod_gr_262.gif]
[Graphics:../Images/PadeApproximationMod_gr_263.gif]

[Graphics:../Images/PadeApproximationMod_gr_264.gif]

[Graphics:../Images/PadeApproximationMod_gr_265.gif]
[Graphics:../Images/PadeApproximationMod_gr_266.gif]

[Graphics:../Images/PadeApproximationMod_gr_267.gif]

[Graphics:../Images/PadeApproximationMod_gr_268.gif]
[Graphics:../Images/PadeApproximationMod_gr_269.gif]

[Graphics:../Images/PadeApproximationMod_gr_270.gif]

[Graphics:../Images/PadeApproximationMod_gr_271.gif]
[Graphics:../Images/PadeApproximationMod_gr_272.gif]

[Graphics:../Images/PadeApproximationMod_gr_273.gif]

[Graphics:../Images/PadeApproximationMod_gr_274.gif]
[Graphics:../Images/PadeApproximationMod_gr_275.gif]

[Graphics:../Images/PadeApproximationMod_gr_276.gif]

[Graphics:../Images/PadeApproximationMod_gr_277.gif]
[Graphics:../Images/PadeApproximationMod_gr_278.gif]

Animation 8.  ( Pade Approximation  Pade Approximation ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004