University of Florida/Egm6321/F10.TEAM1.WILKS/Mtg39

EGM6321 - Principles of Engineering Analysis 1, Fall 2009Edit

Mtg 39: Thurs, 19Nov09


Page 39-1

Edit

Note: Other Application: Quantum Mechanics

discrete variables <-- coding theory

Ref: Nikiforov, et.al (1991)

Probability (Queing theory, birth and death)

Generating functions:
-Legendre Polynomial  : Eq.(5) P.38-3
-   "r choose k" :

  for  

 

From Eq.(6) P.38-3 and Eq.(7) P.38-3 :  

Where  

and  

and  

and  

Page 39-2

Edit

 

(1)



 

(2)



 

(3)



HW: Continue the power series development to find   and complete result to that obatined by Eq.(6) P.31-3 or Eq.(7) P.31-3

2 recurrence formulas

Plan: Find   and  

1)  

Recall Eq.(5) P.38-3, now  

 

(4)



Where   and  

Page 39-3

Edit

2)  

(5)



Compare Eq(4) and Eq(5)

 



 

Where n=1 in summation due to factor u being introduced

 

 

Page 39-4

Edit

 

 

(1)


ReferencesEdit