23. (a) (2n )! [P,(x)]² dx 2 (n!)ª J_, (1 – x*y" dx (b) By making an appropriate change of variable, evaluate the integral in (a) through use of the gamma function and hence derive Eq. (4.66). (P,(x ) ]ª dx = 2 n= 0, 1, 2, ... (4.66) 2n +1
23. (a) (2n )! [P,(x)]² dx 2 (n!)ª J_, (1 – x*y" dx (b) By making an appropriate change of variable, evaluate the integral in (a) through use of the gamma function and hence derive Eq. (4.66). (P,(x ) ]ª dx = 2 n= 0, 1, 2, ... (4.66) 2n +1
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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Question
from book: SPECIAL FUNCTIONS OF MATHEMATICS FOR ENGINEERS.
![Solve (b)
23. (a)
(2n )!
(1-x*)" dx
(b) By making an appropriate change of variable, evaluate the
integral in (a) through use of the gamma function and
hence derive Eq. (4.66).
(P,(x )]° d
n =0, 1, 2, ...
(4.66)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa279d709-2503-4944-8ec2-0472e9533efc%2Ffe3830ac-4399-47e6-8bc9-52cf77f60b9e%2Fobcpf5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve (b)
23. (a)
(2n )!
(1-x*)" dx
(b) By making an appropriate change of variable, evaluate the
integral in (a) through use of the gamma function and
hence derive Eq. (4.66).
(P,(x )]° d
n =0, 1, 2, ...
(4.66)
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