# Matlab Program to Implement Bessel Functions Assignment Solution

June 14, 2024
Prof. Kai
🇬🇧 United Kingdom
Programming
Prof. Kai Turnbull, a distinguished Programming Assignment Expert, earned his Ph.D. from the University of Oxford, UK. With 15 years of experience, he's renowned for his expertise in crafting precise and innovative programming solutions.
Key Topics
• Instructions
• Objective
• Requirements and Specifications
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## Instructions

### Objective

Write a program to implement bessel functions in matlab.

## Requirements and Specifications

Source Code

```BESSEL PRINCIPAL function J = besselprincipal(n, z, terms) z = double(z); result = 0; for k = 0:terms denom = (factorial(k).*gamma(n+k+1)); if denom ~= Inf % If the denominator is n Inf, we do not consider the term since it is equal to zero result = result + (-1/4 *z.^2).^k ./(factorial(k).*gamma(n+k+1)); end end result = result.*(1/2 .*z).^n; J = result; end BESSEL HANKEL function J = besselhankel(n, z) X = z - (pi/2)*(n + 1/2); m = 4*n^2; P = 1 - (m-1).*(m-9)./(2*(8*z).^2) + (m-1).*(m-9).*(m-25).*(m-49)./(factorial(4).*(8*z).^4); Q = (m-1)./(8.*z) - (m-1).*(m-9).*(m-25)./(factorial(3).*(8.*z).^3); result = sqrt(2./(pi*z)).*(P.*cos(X) - Q.*sin(X)); J = result; end ```

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