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

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EGM6321 - Principles of Engineering Analysis 1, Fall 2009[edit]

Mtg 39: Thurs, 19Nov09


Page 39-1

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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

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(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

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2)

(5)



Compare Eq(4) and Eq(5)





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




Page 39-4

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(1)


References[edit]