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Chapter 12: Q9P (page 584)

Use problem 7 to show that
P_l^m (x) = (-1)^m (l+m)!/(l-m)! (1-x²)/2^l! d^l-m/dx^l-m(x²-1)^l

Short Answer

Expert verified

The answer is stated below.

Step by step solution

Relation between Plm(x) and Pl(x):

The relation between P_l^m(x) and P_l(x) is as follow.

P_l^m(x) =1/2^l l! (1-x²)^m/2d^l+m/dx^l+m(x²-1)^l ..... (1)

Put the values in the equation (1):

Putting the above given equation in equation (1) and obtain the solution as follows:

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Use problem 7 to show that
P_l^m (x) = (-1)^m (l+m)!/(l-m)! (1-x²)/2^l! d^l-m/dx^l-m(x²-1)^l

Short Answer

Step by step solution

Relation between Plm(x) and Pl(x):

Put the values in the equation (1):

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Most popular questions from this chapter

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Use problem 7 to show thatPlm (x) = (-1)m (l+m)!/(l-m)! (1-x2)/2l! dl-m/dxl-m(x2-1)l

Short Answer

Step by step solution

Relation between Plm(x) and Pl(x):

Put the values in the equation (1):

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Fields in Physics

Engineering Physics

Physics of Motion

Further Mechanics and Thermal Physics

Particle Model of Matter

Force

Study anywhere. Anytime. Across all devices.

Use problem 7 to show that
P_l^m (x) = (-1)^m (l+m)!/(l-m)! (1-x²)/2^l! d^l-m/dx^l-m(x²-1)^l