Example 12.  Find Pade approximations for [Graphics:Images/PadeApproximationMod_gr_369.gif] expanded about  [Graphics:Images/PadeApproximationMod_gr_370.gif].  

Solution 12.

[Graphics:../Images/PadeApproximationMod_gr_371.gif]


[Graphics:../Images/PadeApproximationMod_gr_372.gif]

[Graphics:../Images/PadeApproximationMod_gr_373.gif]
[Graphics:../Images/PadeApproximationMod_gr_374.gif]

[Graphics:../Images/PadeApproximationMod_gr_375.gif]

[Graphics:../Images/PadeApproximationMod_gr_376.gif]
[Graphics:../Images/PadeApproximationMod_gr_377.gif]

[Graphics:../Images/PadeApproximationMod_gr_378.gif]

[Graphics:../Images/PadeApproximationMod_gr_379.gif]
[Graphics:../Images/PadeApproximationMod_gr_380.gif]

[Graphics:../Images/PadeApproximationMod_gr_381.gif]

[Graphics:../Images/PadeApproximationMod_gr_382.gif]
[Graphics:../Images/PadeApproximationMod_gr_383.gif]

[Graphics:../Images/PadeApproximationMod_gr_384.gif]

[Graphics:../Images/PadeApproximationMod_gr_385.gif]
[Graphics:../Images/PadeApproximationMod_gr_386.gif]

[Graphics:../Images/PadeApproximationMod_gr_387.gif]

[Graphics:../Images/PadeApproximationMod_gr_388.gif]
[Graphics:../Images/PadeApproximationMod_gr_389.gif]

Animation 18.  ( Pade Approximation  Pade Approximation ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004