(b) Find the first three Fourier-Legendre coefficients co, C1, C2 for the function f(x) = cos Show your calculation explicitly. (c) The Bessel function J1 (x) can be expressed in terms of basic...

(b) Find the first three Fourier-Legendre coefficients co, C1, C2 for the function<br>f(x)<br>= cos<br>Show your calculation explicitly.<br>(c) The Bessel function J1 (x) can be expressed in terms of basic functions (for example the<br>functions sin a and below) and constants,<br>JĄ (x)<br>2<br>sin x.<br>Use the recurrence relations of Bessel functions to find Ja (x) and express it in terms of<br>basic functions.<br>

Extracted text: (b) Find the first three Fourier-Legendre coefficients co, C1, C2 for the function f(x) = cos Show your calculation explicitly. (c) The Bessel function J1 (x) can be expressed in terms of basic functions (for example the functions sin a and below) and constants, JĄ (x) 2 sin x. Use the recurrence relations of Bessel functions to find Ja (x) and express it in terms of basic functions.

Jun 05, 2022

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(b) Find the first three Fourier-Legendre coefficients co, C1, C2 for the function f(x) = cos Show your calculation explicitly. (c) The Bessel function J1 (x) can be expressed in terms of basic...

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