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The first one generate a object with static functions but the last generate a function with 2 static functions, is not trully a static class and can be initializated.

In the first case PI is protected by context and in the second case will just not work because PI is a field in the MyMathClass instance and is not a static field.

So i say go with the first if you want a more "trully" static or just put static in PI.

With JSComet you can use static fields/properties and use a @static decorator for make a more trully static class (or create one here some samples github.com/cirospaciari/jscomet.decorators/tree/m…) and private vars and functions are context protecteds.

npmjs.com/package/jscomet

First Code Generate:

var MyMath;
(function (MyMath) {
    var PI = 3.14;
    function calculateCircumference(diameter) {
        return diameter * PI;
    }
    MyMath.calculateCircumference = calculateCircumference;
    function calculateRectangle(width, length) {
        return width * length;
    }
    MyMath.calculateRectangle = calculateRectangle;
})(MyMath || (MyMath = {}));

Last Code Generate:

var MyMathClass = /** @class */ (function () {
    function MyMathClass() {
        this.PI = 3.14;
    }
    MyMathClass.calculateCircumference = function (diameter) {
        return diameter * PI;
    };
    MyMathClass.calculateRectangle = function (width, length) {
        return width * length;
    };
    return MyMathClass;
}());