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Abel Functional Equation

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Abel Functional Equation
bo198214 Offline
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#2
08/20/2007, 11:42 AM
andydude Wrote:leads us to the recurrence equation:
\(
A_n = \sum_{k=n}^{\infty} \left({k \atop n}\right) \sum_{j=0}^k \left{{k \atop j}\right} A_j
\)

This isnt exactly a recurrence relation as on the right hand there appear \( j\ge n \). Its rather the beloved infinite linear equation system, isnt it?
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Messages In This Thread
Abel Functional Equation - by andydude - 08/18/2007, 05:28 AM
RE: Abel Functional Equation - by bo198214 - 08/20/2007, 11:42 AM
RE: Abel Functional Equation - by andydude - 08/21/2007, 02:00 AM
RE: Abel Functional Equation - by andydude - 08/21/2007, 02:39 AM
RE: Abel Functional Equation - by bo198214 - 08/21/2007, 06:08 PM
RE: Abel Functional Equation - by andydude - 08/22/2007, 11:20 PM
RE: Abel Functional Equation - by bo198214 - 08/24/2007, 12:32 AM
RE: Abel Functional Equation - by Daniel - 08/25/2007, 08:43 PM
RE: Abel Functional Equation - by bo198214 - 08/25/2007, 10:33 PM
RE: Abel Functional Equation - by andydude - 08/27/2007, 11:23 PM

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