3. Let r(r) r*...*r(x) be the p-fold convolution of r(x) by itself. Verify by induction that 0 < B(P) < 1, that the support of B(P) (x) is in the interval (-5,) and that BP) e CP-2(R) X(-},})(x). Let p > 2 be an integer, and let BP) (r) 212

3. Let r(r) r...r(x) be the p-fold convolution of r(x) by itself. Verify by induction that 0 < B(P) < 1, that the support of B(P) (x) is in the interval (-5,) and that BP) e CP-2(R) X(-},})(x). Let p > 2 be an integer, and let BP) (r) 212

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. Let r(r) = X-4,4)(x). Let p > 2 be an integer, and let BP) (x) =
r*...*r(x) be the p-fold convolution of r(x) by itself. Verify by induction
that 0 < B(P) < 1, that the support of B(P) (æ) is in the interval (-,)
and that BP) E CP-²(R)
%3D
%3D

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