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(b) Without using the series form of Bessel's functions, show that a (x* J.(x)] = x° Je-1(x)

(b) Without using the series form of Bessel's functions, show that a (x* J.(x)] = x° Je-1(x)

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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3- (a) Complete Σ k (-1)* k! (k +n+ 1)! 2k+n = -h(x) (b) Without using the series form of Bessel's functions, show that d dx [* Jc(x)] = x* Je-1(x)
Transcribed Image Text:3- (a) Complete Σ k (-1)* k! (k +n+ 1)! 2k+n = -h(x) (b) Without using the series form of Bessel's functions, show that d dx [* Jc(x)] = x* Je-1(x)
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