Prove the following identity by interpreting both sides in terms of partitions: zkak(k+1)/2 I[(1+ za*) = (1 – x)(1 – a²) .… . . (1 – xk)" i>1 k>0
Prove the following identity by interpreting both sides in terms of partitions: zkak(k+1)/2 I[(1+ za*) = (1 – x)(1 – a²) .… . . (1 – xk)" i>1 k>0
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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Transcribed Image Text:Prove the following identity by interpreting both sides in terms of partitions:
2k uk(k+1)/2
II(1 + za*) = L1 - x)(1– 2²). . (1 – ak)"
(1 – x)(1 – a2) · .. (1 – xk)"
k>0
i>1
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