Engineering Mathematics
Friday, October 28, 2011
Gamma-Catalan Relation
GC.ID.1:
Catalan Number Identity
Proof
based on recurrence relation of gamma
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(10)
(11)
(12)
(13)
based on the Catalan number identity , therefore ,
(14)
(15)
(16)
Multiple Sine Integration
MSI.ID.1:
Recurrence Relation
(1)
(2)
Proof
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(10)
(11)
From (11) and (1)
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