EGM6321 - Principles of Engineering Analysis 1, Fall 2009
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Mtg 39: Thurs, 19Nov09
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
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(1)
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(2)
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(3)
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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
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(4)
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Where and
2)
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(5)
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Compare Eq(4) and Eq(5)
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Where n=1 in summation due to factor u being introduced
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(1)
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