Find the Hankel transform of xve-ax, taking

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the Hankel transform of xve-ax, taking xJ, (px) as the kernel.
Theorem 8.3. Prove that
H₁ (f"(x); p) = F"(p) =
+1 2(²-3) V-
1 - - - 1 1 - 0 - - - - - - - - 2
F₁-2 (P)- -F₂(p) + (0)
√²-1
0+1
Transcribed Image Text:1 Find the Hankel transform of xve-ax, taking xJ, (px) as the kernel. Theorem 8.3. Prove that H₁ (f"(x); p) = F"(p) = +1 2(²-3) V- 1 - - - 1 1 - 0 - - - - - - - - 2 F₁-2 (P)- -F₂(p) + (0) √²-1 0+1
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