Here's an example with JSDoc comments for a function that calculates the factorial of a number using recursion:

/**
 * Calculates the factorial of a given number using recursion.
 * 
 * @param {number} n - The number to calculate the factorial for.
 * @returns {number} The factorial of the given number.
 * @throws {Error} Throws an error if the input is not a non-negative integer.
 */
function factorial(n) {
    // Check if n is a non-negative integer
    if (typeof n !== 'number' || n < 0 || !Number.isInteger(n)) {
        throw new Error('Input must be a non-negative integer.');
    }

    // Base case: factorial of 0 is 1
    if (n === 0) {
        return 1;
    }

    // Recursive case: n * factorial(n - 1)
    return n * factorial(n - 1);
}

In this example:

• @param {number} n indicates that the n parameter should be a number.
• @returns {number} indicates that the function returns a number, which is the factorial of the given number.
• @throws {Error} indicates that the function may throw an error if the input is not a non-negative integer.

The comments explain the purpose of the function, the input parameter, the return value, and any potential errors that the function may throw.