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) Verify that 5² - ( ) (1) 5(7,5). where S(m, n) is the Stirling number of the second kind.

) Verify that 5² - ( ) (1) 5(7,5). where S(m, n) is the Stirling number of the second kind.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) Verify that - Σ(5) (i!)S(7, i). where S(m, n) is the Stirling number of the second kind. (b) Provide a combinatorial argument to prove that for all positive integers m, n -(") (1)S(ni).
Transcribed Image Text:(a) Verify that - Σ(5) (i!)S(7, i). where S(m, n) is the Stirling number of the second kind. (b) Provide a combinatorial argument to prove that for all positive integers m, n -(") (1)S(ni).
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