1 Find the Hankel transform of xve-ax, taking xJ, (px) as the kernel.
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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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00162740-711c-4a31-a330-6ed93bfbcb27%2Ff9bf4073-979e-4d7c-a2f8-02dd89277839%2F92dpjv_processed.jpeg&w=3840&q=75)
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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