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Chapter 12: Q 8-4P (page 562)

Find the norm of each of the following functions on the given interval and state the normalized functione-X2/2on(-∞,∞)

Short Answer

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Step by step solution

01

Concept of normalization factor 

02

Calculate the norm of the function

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Most popular questions from this chapter

To show thatlimx→0x-3/2J3/2(x)=3-12/π .

To calculate the given system of equation.ddx[xpJp(x)]=(x)pJp-1(x).

As in Problem 1, study the Kp (X) functions. It is interesting to note (see Problem $17.4) that K1/2(X) is equal to the asymptotic approximation.

Find the solutions of the following differential equations in terms of Bessel functions by using equations (16.1) and (16.2).

xy''+5y+xy=0

Expand the following functions in Legendre series.

f(x) = P'n (x).

Hint: For I≥ n, ∫-11 P'n(x)Pl(x) dx=0 (Why?); for l<n, integrate by parts.
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